Texas Instruments TI-83 manuale d’uso

8300INTR.DOC TI-83 Intl English, Title Page Bob Fedorisko Revised: 02/19/01 2:32 PM Printed: 02/21/01 9:05 AM Page iii of 8 TI-83 GRAPHING CALCULATOR GUIDEBOOK TI-GRAPH LINK, Calculator-Based Laboratory, CBL, CBL 2, Calculator-Based Ranger, CBR, Constant Memory, Automatic Power Down, APD, and EOS are trademarks of Texas Instruments Incorporated. IB[...]

8300INTR.DOC TI-83 Intl English, Title Page Bob Fedorisko Revised: 02/19/01 11:26 AM Printed: 02/19/01 1:46 PM Page iv of 8 Texas Instruments makes no warranty, either expressed or implied, including but not limited to any implied warranties of merchantability and fitness for a particular purpose, regarding any programs or book materials and makes [...]

Introduction iii 8300INTR.DOC TI-83 Intl English, Title Page Bob Fedorisko Revised: 02/19/01 11:26 AM Printed: 02/19/01 1:46 PM Page iii of 8 This manual describes how to use the TI . 83 Graphing Calculator. Getting Started is an overview of TI . 83 features. Chapter 1 describes how the TI . 83 operates. Other chapters describe various interactive [...]

iv Introduction 8300INTR.DOC TI-83 Intl English, Title Page Bob Fedorisko Revised: 02/19/01 11:26 AM Printed: 02/19/01 1:46 PM Page iv of 8 Getting Started: Coin Flip ................................ 2 - 2 Keyboard Math Operations .............................. 2 - 3 MATH Operations ........................................ 2 - 5 Using the Equation [...]

Introduction v 8300INTR.DOC TI-83 Intl English, Title Page Bob Fedorisko Revised: 02/19/01 11:26 AM Printed: 02/19/01 1:46 PM Page v of 8 Getting Started: Forest and Trees ........................ 6 - 2 Defining and Displaying Sequence Graphs ............... 6 - 3 Selecting Axes Combinations ............................ 6 - 8 Exploring Sequence Gra[...]

vi Introduction 8300INTR.DOC TI-83 Intl English, Title Page Bob Fedorisko Revised: 02/19/01 11:26 AM Printed: 02/19/01 1:46 PM Page vi of 8 Getting Started: Systems of Linear Equations ............ 10 - 2 Defining a Matrix ........................................ 10 - 3 Viewing and Editing Matrix Elements .................... 10 - 4 Using Matrices [...]

Introduction vii 8300INTR.DOC TI-83 Intl English, Title Page Bob Fedorisko Revised: 02/19/01 11:26 AM Printed: 02/19/01 1:46 PM Page vii of 8 Getting Started: Financing a Car ......................... 14 - 2 Getting Started: Computing Compound Interest .......... 14 - 3 Using the TVM Solver .................................... 14 - 4 Using the Fina[...]

viii Introduction 8300INTR.DOC TI-83 Intl English, Title Page Bob Fedorisko Revised: 02/19/01 11:26 AM Printed: 02/19/01 1:46 PM Page viii of 8 Checking Available Memory ............................. 18 - 2 Deleting Items from Memory ............................ 18 - 3 Clearing Entries and List Elements ...................... 18 - 4 Resetting the T[...]

Getting Started 1 8300GETM.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 11:06 AM Printed: 02/19/01 11:06 AM Page 1 of 18 Gettin g Started: Do This First! TI - 83 Keyboard .......................................... 2 TI - 83 Menus ............................................. 4 First Steps .........................................[...]

2 Getting Started 8300GETM.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 11:11 AM Printed: 02/19/01 11:14 AM Page 2 of 18 Generally, the keyboard is divided into these zones: graphing keys, editing keys, advanced function keys, and scientific calculator keys. Graphing keys access the interactive graphing features. Editing keys all[...]

Getting Started 3 8300GETM.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 11:06 AM Printed: 02/19/01 11:06 AM Page 3 of 18 The keys on the TI . 83 are color-coded to help you easily locate the key you need. The gray keys are the numb er keys. The blue keys alo ng the right side of the keyboa rd are the common math func tions. The b[...]

4 Getting Started 8300GETM.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 11:11 AM Printed: 02/19/01 11:15 AM Page 4 of 18 Displaying a Menu While using your TI . 83, you often will need to access items from its menus. When you press a key that displays a menu, that menu temporarily replaces the screen where you are working. For ex[...]

Getting Started 5 8300GETM.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 11:06 AM Printed: 02/19/01 11:06 AM Page 5 of 18 Before starting the sample problems in this chapter, follow the steps on this page to reset the TI . 83 to its factory settings and clear all memory. This ensures that the keystrokes in this chapter will produc[...]

6 Getting Started 8300GETM.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 11:06 AM Printed: 02/19/01 11:06 AM Page 6 of 18 Use the quadratic formula to solve the quadratic equations 3 X 2 + 5X + 2 = 0 and 2 X 2 N X + 3 = 0. Begin with the equation 3 X 2 + 5X + 2 = 0. 1. Press 3 ¿ ƒ [ A ] (above  ) to store the coefficient of t[...]

Getting Started 7 8300GETM.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 11:06 AM Printed: 02/19/01 11:06 AM Page 7 of 18 You can show the solution as a fraction. 1. Press  to display the MATH menu. 2. Press 1 to select 1: 4 Frac from the MATH menu. When you press 1 , Ans 4 Frac is displayed on the home screen. Ans is a variabl[...]

8 Getting Started 8300GETM.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 11:06 AM Printed: 02/19/01 11:06 AM Page 8 of 18 Now solve the equation 2 X 2 N X + 3 = 0. When you set a+b i complex number mode, the TI . 83 displays complex results. 1. Press z † † † † † † (6 times), and then press ~ to position the cursor over[...]

Getting Started 9 8300GETM.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 11:06 AM Printed: 02/19/01 11:06 AM Page 9 of 18 Take a 20 cm. × 25 cm. sheet of paper and cut X × X squares from two corners. Cut X × 12.5 cm. rectangles from the other two corners as shown in the diagram below. Fold the paper into a box with a lid. What [...]

10 Getting Started 8300GETM.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 11:06 AM Printed: 02/19/01 11:06 AM Page 10 of 18 The table feature of the TI . 83 displays numeric information about a function. You can use a table of values from the function defined on page 9 to estimate an answer to the problem. 1. Press y [ TBLSET ] (a[...]

Getting Started 11 8300GETM.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 11:06 AM Printed: 02/19/01 11:06 AM Page 11 of 18 You can adjust the way a table is displayed to get more information about a defined function. With smaller values for @ Tbl , you can zoom in on the table. 1. Press 3 Í to set TblStart . Press Ë 1 Í to set[...]

12 Getting Started 8300GETM.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 11:06 AM Printed: 02/19/01 11:06 AM Page 12 of 18 You also can use the graphing features of the TI . 83 to find the maximum value of a previously defined function. When the graph is activated, the viewing window defines the displayed portion of the coordinat[...]

Getting Started 13 8300GETM.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 11:06 AM Printed: 02/19/01 11:06 AM Page 13 of 18 Now that you have defined the function to be graphed and the window in which to graph it, you can display and explore the graph. You can trace along a function using the TRACE feature. 1. Press s to graph the[...]

14 Getting Started 8300GETM.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 11:06 AM Printed: 02/19/01 11:06 AM Page 14 of 18 4. Press r . The trace cursor is displayed on the Y 1 function. The function that you are tracing is displayed in the top-left corner. 5. Press | and ~ to trace along Y 1 , one X dot at a time, evaluating Y 1[...]

Getting Started 15 8300GETM.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 11:06 AM Printed: 02/19/01 11:06 AM Page 15 of 18 To help identify maximums, minimums, roots, and intersections of functions, you can magnify the viewing window at a specific location using the ZOOM instructions. 1. Press q to display the ZOOM menu. This men[...]

16 Getting Started 8300GETM.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 11:06 AM Printed: 02/19/01 11:06 AM Page 16 of 18 You can use a CALCULATE menu operation to calculate a local maximum of a function. 1. Press y [ CALC ] (above r ) to display the CALCULATE menu. Press 4 to select 4:maximum . The graph is displayed again with[...]

Getting Started 17 8300GETM.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 11:06 AM Printed: 02/19/01 11:06 AM Page 17 of 18 Getting Started has introduced you to basic TI . 83 operation. This guidebook describes in detail the features you used in Getting Started. It also covers the other features and capabilities of the TI . 83. Y[...]

18 Getting Started 8300GETM.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 11:06 AM Printed: 02/19/01 11:06 AM Page 18 of 18 You can perform 16 hypothesis tests and confidence intervals and 15 distribution functions. You can display hypothesis test results graphically or numerically (Chapter 13). You can use time-value-of-money ( T[...]

Operating the TI - 83 1-1 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 1 of 24 1 Operatin g the TI-83 Turning On and Turning Off the TI . 83 .................... 1-2 Setting the Display Contrast ............................. 1-3 The Display .........................................[...]

1-2 Operating the TI - 83 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 2 of 24 To turn on the TI . 83, press É . • If you previously had turned off the calculator by pressing y [ OFF ], the TI . 83 displays the home screen as it was when you last used it and clears any error. ?[...]

Operating the TI - 83 1-3 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 3 of 24 You can adjust the d isplay contrast to suit yo ur viewing angle and lighting c onditions. As you change the contrast setting, a number from 0 (lightest) to 9 (darkest) in the top-right corner in dicates[...]

1-4 Operating the TI - 83 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 4 of 24 The TI . 83 displays both text and graphs. Chapter 3 describes graphs. Chapter 9 describes how the TI . 83 can display a horizontally or vertically split screen to show graphs and text simultaneously. Th[...]

Operating the TI - 83 1-5 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 5 of 24 In most cases, the appearance of the cursor indicates what will happen when you press the next key or select the next menu item to be pasted as a character. Cursor Appearance Effect of Next Keystroke Ent[...]

1-6 Operating the TI - 83 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 6 of 24 An expression is a group of numbers, variables, functions and their arguments, or a combination of these elements. An expression evaluates to a single answer. On the TI . 83, you enter an expression in t[...]

Operating the TI - 83 1-7 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 7 of 24 To enter a number in scientific notation, follow these steps. 1. Enter the part of the number that precedes the exponent. This value can be an expression. 2. Press y [ EE ]. å is pasted to the cursor lo[...]

1-8 Operating the TI - 83 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 8 of 24 Keystrokes Result ~ or | Moves the cursor within an expression; these keys repeat. } or † Moves the cursor from line to line within an expression that occupies more than one line; these keys repeat. On[...]

Operating the TI - 83 1-9 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 9 of 24 Mode settings control how the TI . 83 displays and interprets numbers and graphs. Mode settings are retained by the Constant Memory feature when the TI . 83 is turned off. All numbers, including elements[...]

1-10 Operating the TI - 83 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 10 of 24 Notation modes only affect the way an answer is displayed on the home screen. Numeric answers can be displayed with up to 10 digits and a two-digit exponent. You can enter a number in any format. Norma[...]

Operating the TI - 83 1-11 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 11 of 24 Angle modes control how the TI . 83 interprets angle values in trigonometric functions and polar/rectangular conversions. Radian mode interprets angle values as radians. Answers display in radians. Deg[...]

1-12 Operating the TI - 83 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 12 of 24 Sequential graphing-order mode evaluates and plots one function completely before the next function is evaluated and plotted. Simul (simultaneous) graphing-order mode evaluates and plots all selected f[...]

Operating the TI - 83 1-13 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 13 of 24 On the TI . 83 you can enter and use several types of data, including real and complex numbers, matrices, lists, functions, stat plots, graph databases, graph pictures, and strings. The TI . 83 uses as[...]

1-14 Operating the TI - 83 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 14 of 24 Values are stored to and recalled from memory using variable names. When an expression containing the name of a variable is evaluated, the value of the variable at that time is used. To store a value t[...]

Operating the TI - 83 1-15 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 15 of 24 To recall and copy variable contents to the current cursor location, follow these steps. To leave RCL , press ‘ . 1. Press y ã RCL ä . Rcl and the edit cursor are displayed on the bottom line of th[...]

1-16 Operating the TI - 83 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 16 of 24 When you press Í on the home screen to evaluate an expression or execute an instruction, the expression or instruction is placed in a storage area called ENTRY (last entry). When you turn off the TI .[...]

Operating the TI - 83 1-17 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 17 of 24 After you have pasted the last entry to the home screen and edited it (if you chose to edit it), you can execute the entry. To execute the last entry, press Í . To reexecute the displayed entry, press[...]

1-18 Operating the TI - 83 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 18 of 24 When an expression is evaluated successfully from the home screen or from a program, the TI . 83 stores the answer to a storage area called Ans (last answer). Ans may be a real or complex number, a lis[...]

Operating the TI - 83 1-19 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 19 of 24 You can access most TI . 83 operations using menus. When you press a key or key combination to display a menu, one or more menu names appear on the top line of the screen. • The menu name on the left[...]

1-20 Operating the TI - 83 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 20 of 24 You can select an item from a menu in either of two ways. • Press the number or letter of the item you want to select. The cursor can be anywhere on the menu, and the item you select need not be disp[...]

Operating the TI - 83 1-21 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 21 of 24 You can enter the names of functions and system variables in an expression or store to them directly. To display the VARS menu, press  . All VARS menu items display secondary menus, which show the n[...]

1-22 Operating the TI - 83 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 22 of 24 The Equation Operating System (EOS é ) defines the order in which functions in expressions are entered and evaluated on the TI . 83. EOS lets you enter numbers and functions in a simple, straightforwa[...]

Operating the TI - 83 1-23 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 23 of 24 The TI . 83 recognizes implied multiplication, so you need not press ¯ to express multiplication in all cases. For example, the TI . 83 interprets 2 p , 4sin(46) , 5(1+2) , and (2 ä 5)7 as implied mu[...]

1-24 Operating the TI - 83 8301OPER.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:09 PM Printed: 02/19/01 1:34 PM Page 24 of 24 The TI . 83 detects errors while performing these tasks. • Evaluating an expression • Executing an instruction • Plotting a graph • Storing a value When the TI . 83 detects an error, it returns[...]

Math, Angle, and Test Operations 2-1 2 Math, An g le, and Test Operations Getting Started: Coin Flip ................................ 2-2 Keyboard Math Operations .............................. 2-3 MATH Operations ........................................ 2-5 Using the Equation Solver ............................... 2-8 MATH NUM (Number) Operations [...]

2-2 Math, Angle, and Test Operations 8302MATH.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:12 PM Printed: 02/19/01 2:27 PM Page 2 of 26 Getting Started is a fast-paced introduction. Read the chapter for details. Suppose you want to model flipping a fair coin 10 times. You want to track how many of those 10 coin flips result in[...]

Math, Angle, and Test Operations 2-3 Math operations that are valid for lists return a list calculated element by element. If you use two lists in the same expression, they must be the same length. You can use + (addition, Ã ), N (subtraction, ¹ ), ä (multiplication, ¯ ), and à (division, ¥ ) with real and complex numbers, expressions, lists,[...]

2-4 Math, Angle, and Test Operations 8302MATH.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:12 PM Printed: 02/19/01 2:27 PM Page 4 of 26 You can use log( (logarithm, « ), 10^( (power of 10, y [ 10 x ]), and ln( (natural log, µ ) with real or complex numbers, expressions, and lists. log( value ) 10^( power )l n ( value ) e^( ([...]

Math, Angle, and Test Operations 2-5 To display the MATH menu, press  . MATH NUM CPX PRB 1: 4 Frac Displays the answer as a fraction. 2: 4 Dec Displays the answer as a decimal. 3: 3 Calculates the cube. 4: 3 ‡ ( Calculates the cube root. 5: x ‡ Calculates the x th root. 6: fMin( Finds the minimum of a function. 7: fMax( Finds the maximum of [...]

2-6 Math, Angle, and Test Operations 8302MATH.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:12 PM Printed: 02/19/01 2:27 PM Page 6 of 26 3 (cube) returns the cube of value . You can use 3 with real or complex numbers, expressions, lists, and square matrices. value 3 3 ‡ ( (cube root) returns the cube root of value . You can u[...]

Math, Angle, and Test Operations 2-7 nDeriv( (numerical derivative) returns an approximate derivative of expression with respect to variable , given the value at which to calculate the derivative and H (if not specified, the default is 1 â L 3). nDeriv( is valid only for real numbers. nDeriv( expression , variable , value [ , H ] ) nDeriv( uses th[...]

2-8 Math, Angle, and Test Operations 8302MATH.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:12 PM Printed: 02/19/01 2:27 PM Page 8 of 26 Solver displays the equation solver, in which you can solve for any variable in an equation. The equation is assumed to be equal to zero. Solver is valid only for real numbers. When you select[...]

Math, Angle, and Test Operations 2-9 3. Press Í or † . The interactive solver editor is displayed. • The equation stored in eqn is set equal to zero and displayed on the top line. • Variables in the equation are listed in the order in which they appear in the equation. Any values stored to the listed variables also are displayed. • The def[...]

2-10 Math, Angle, and Test Operations 8302MATH.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:12 PM Printed: 02/19/01 2:27 PM Page 10 of 26 To solve for a variable using the equation solver after an equation has been stored to eqn , follow these steps. 1. Select 0:Solver from the MATH menu to display the interactive solver edito[...]

Math, Angle, and Test Operations 2-11 4. Ed it bound={ lower , upper } . lower an d upper are the bounds between which the T I - 8 3 searches for a solution. This is optional, but it may help find the solution more quickly. The default is bound={ L 1 å 99,1 å 99} . 5. Move the cursor to the variable for which you want to solve and press ƒ [ SOLV[...]

2-12 Math, Angle, and Test Operations 8302MATH.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:12 PM Printed: 02/19/01 2:27 PM Page 12 of 26 To edit or replace an equation stored to eqn when the interactive equation solver is displayed, press } until the equation editor is displayed. Then edit the equation. Some equations have mo[...]

Math, Angle, and Test Operations 2-13 To display the MATH NUM menu, press  ~ . MATH NUM CPX PRB 1: abs( Absolute value 2: round( Round 3: iPart( Integer part 4: fPart( Fractional part 5: int( Greatest integer 6: min( Minimum value 7: max( Maximum value 8: lcm( Least common multiple 9: gcd( Greatest common divisor abs( (absolute value) returns th[...]

2-14 Math, Angle, and Test Operations 8302MATH.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:12 PM Printed: 02/19/01 2:27 PM Page 14 of 26 iPart( (integer part) returns the integer part or parts of real or complex numbers, expressions, lists, and matrices. iPart( value ) fPart( (fractional part) returns the fractional part or p[...]

Math, Angle, and Test Operations 2-15 min( (minimum value) returns the smaller of valueA and valueB or the smallest element in list . If listA and listB are compared, min( returns a list of the smaller of each pair of elements. If list and value are compared, min( compares each element in list with value . max( (maximum value) returns the larger of[...]

2-16 Math, Angle, and Test Operations 8302MATH.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:12 PM Printed: 02/19/01 2:27 PM Page 16 of 26 The TI - 83 displays complex numbers in rectangular form and polar form. To select a complex-number mode, press z , and then select either of the two modes. • a+b i (rectangular-complex mo[...]

Math, Angle, and Test Operations 2-17 Complex numbers in results, including list elements, are displayed in either rectangular or polar form, as specified by the mode setting or by a display conversion instruction (page 2 . 19). In the example below, re^ q i and Radian modes are set. Rectangular-complex mode recognizes and displays a complex number[...]

2-18 Math, Angle, and Test Operations 8302MATH.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:12 PM Printed: 02/19/01 2:27 PM Page 18 of 26 To display the MATH CPX menu, press  ~ ~ . MATH NUM CPX PRB 1: conj( Returns the complex conjugate. 2: real( Returns the real part. 3: imag( Returns the imaginary part. 4: angle( Returns [...]

Math, Angle, and Test Operations 2-19 angle( returns the polar angle of a complex number or list of complex numbers, calculated as tan L 1 (b/a), where b is the imaginary part and a is the real part. The calculation is adjusted by + p in the second quadrant or Np in the third quadrant. angle( a + bi ) returns tan L 1 (b/a) . angle( r e^( q i )) ret[...]

2-20 Math, Angle, and Test Operations 8302MATH.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:12 PM Printed: 02/19/01 2:27 PM Page 20 of 26 To display the MATH PRB menu, press  | . MATH NUM CPX PRB 1: rand Random-number generator 2: nPr Number of permutations 3: nCr Number of combinations 4: ! Factorial 5: randInt( Random-int[...]

Math, Angle, and Test Operations 2-21 nPr (number of permutations) returns the number of permutations of items taken number at a time. items and number must be nonnegative integers. Both items and number can be lists. items nPr number nCr (number of combinations) returns the number of combinations of items taken number at a time. items and number m[...]

2-22 Math, Angle, and Test Operations 8302MATH.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:12 PM Printed: 02/19/01 2:27 PM Page 22 of 26 randInt( (random integer) generates and displays a random integer within a range specified by lower and upper integer bounds. To generate a list of random numbers, specify an integer >1 f[...]

Math, Angle, and Test Operations 2-23 To display the ANGLE menu, press y [ ANGLE ]. The ANGLE menu displays angle indicators and instructions. The Radian / Degree mode setting affects the TI - 83’s interpretation of ANGLE menu entries. ANGLE 1: ¡ Degree notation 2: ' DMS minute notation 3: r Radian notation 4: 8 DMS Displays as degree/minut[...]

2-24 Math, Angle, and Test Operations 8302MATH.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:12 PM Printed: 02/19/01 2:27 PM Page 24 of 26 r (radians) designates an angle or list of angles as radians, regardless of the current angle mode setting. In Degree mode, you can use r to convert radians to degrees. value r Degree mode 8[...]

Math, Angle, and Test Operations 2-25 To display the TEST menu, press y [ TEST ]. This operator... Returns 1 (true) if... TEST LOGIC 1: = Equal 2: ƒ Not equal to 3: > Greater than 4: ‚ Greater than or equal to 5: < Less than 6:  Less than or equal to Relational operators compare valueA and valueB and return 1 if the test is true or 0 if[...]

2-26 Math, Angle, and Test Operations 8302MATH.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:12 PM Printed: 02/19/01 2:27 PM Page 26 of 26 To display the TEST LOGIC menu, press y ã TEST ä ~ . This operator... Returns a 1 (true) if... TEST LOGIC 1: and Both values are nonzero (true). 2: or At least one value is nonzero (true).[...]

Function Graphing 3-1 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:50 PM Page 1 of 28 3 Function Graphin g Getting Started: Graphing a Circle ....................... 3-2 Defining Graphs ......................................... 3-3 Setting the Graph Modes ................................. 3-4[...]

3-2 Function Graphing 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 2 of 28 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 2 of 28 Getting Started is a fast-paced introduction. Read the chapter for details. Graph a ci[...]

Function Graphing 3-3 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 3 of 28 Chapter 3 specifically describes function graphing, but the steps shown here are similar for each TI - 83 graphing mode. Chapters 4, 5, and 6 describe aspects that are unique to parametric graphing, polar gr[...]

3-4 Function Graphing 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 4 of 28 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 4 of 28 To display the mode screen, press z . The default settings are highlighted below. To g[...]

Function Graphing 3-5 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 5 of 28 To display the Y= editor, press o . You can store up to 10 functions to the function variables Y 1 through Y 9 , and Y 0 . You can graph one or more defined functions at once. In this example, functions Y 1 [...]

3-6 Function Graphing 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 6 of 28 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 6 of 28 To define a function from the home screen or a program, begin on a blank line and foll[...]

Function Graphing 3-7 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 7 of 28 You can select and deselect (turn on and turn off) a function in the Y= editor. A function is selected when the = sign is highlighted. The TI - 83 graphs only the selected functions. You can select any or al[...]

3-8 Function Graphing 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 8 of 28 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 8 of 28 To select or deselect a function from the home screen or a program, begin on a blank l[...]

Function Graphing 3-9 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 9 of 28 This table describes the graph styles available for function graphing. Use the styles to visually differentiate functions to be graphed together. For example, you can set Y 1 as a solid line, Y 2 as a dotted[...]

3-10 Function Graphing 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 10 of 28 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 10 of 28 When you select é or ê for two or more functions, the TI - 83 rotates through fou[...]

Function Graphing 3-11 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 11 of 28 The viewing window is the portion of the coordinate plane defined by Xmin , Xmax , Ymin , and Ymax . Xscl (X scale) defines the distance between tick marks on the x-axis. Yscl (Y scale) defines the distanc[...]

3-12 Function Graphing 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 12 of 28 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 12 of 28 To store a value, which can be an expression, to a window variable, begin on a blan[...]

Function Graphing 3-13 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 13 of 28 To display the format settings, press y [ FORMAT ]. The default settings are highlighted below. RectGC PolarGC Sets cursor coordinates. CoordOn CoordOff Sets coordinates display on or off. GridOff GridOn S[...]

3-14 Function Graphing 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 14 of 28 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 14 of 28 CoordOn (coordinates on) displays the cursor coordinates at the bottom of the graph[...]

Function Graphing 3-15 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 15 of 28 To display the graph of the selected function or functions, press s . TRACE , ZOOM instructions, and CALC operations display the graph automatically. As the TI - 83 plots the graph, the busy indicator is o[...]

3-16 Function Graphing 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 16 of 28 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 16 of 28 On the TI - 83, you can graph one or more new functions without replotting existing[...]

Function Graphing 3-17 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 17 of 28 When a graph is displayed, press | , ~ , } , or † to move the cursor around the graph. When you first display the graph, no cursor is visible. When you press | , ~ , } , or † , the cursor moves from th[...]

3-18 Function Graphing 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 18 of 28 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 18 of 28 Use TRACE to move the cursor from one plotted point to the next along a function. T[...]

Function Graphing 3-19 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 19 of 28 To move the trace cursor to any valid X value on the current function, enter the value. When you enter the first digit, an X= prompt and the number you entered are displayed in the bottom-left corner of th[...]

3-20 Function Graphing 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 20 of 28 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 20 of 28 To display the ZOOM menu, press q . You can adjust the viewing window of the graph [...]

Function Graphing 3-21 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 21 of 28 Zoom In magnifies the part of the graph that surrounds the cursor location. Zoom Out displays a greater portion of the graph, centered on the cursor location. The XFact and YFact settings determine the ext[...]

3-22 Function Graphing 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 22 of 28 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 22 of 28 ZStandard replots the functions immediately. It updates the window variables to the[...]

Function Graphing 3-23 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 23 of 28 To display the ZOOM MEMORY menu, press q ~ . ZOOM MEMORY 1: ZPrevious Uses the previous viewing window. 2: ZoomSto Stores the user-defined window. 3: ZoomRcl Recalls the user-defined window. 4: SetFactors [...]

3-24 Function Graphing 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 24 of 28 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 24 of 28 The zoom factors, XFact and YFact , are positive numbers (not necessarily integers)[...]

Function Graphing 3-25 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 25 of 28 To display the CALCULATE menu, press y ã CALC ä . Use the items on this menu to analyze the current graph functions. CALCULATE 1: value Calculates a function Y value for a given X . 2: zero Finds a zero [...]

3-26 Function Graphing 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 26 of 28 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 26 of 28 zero finds a zero (x-intercept or root) of a function using solve( . Functions can [...]

Function Graphing 3-27 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 27 of 28 minimum and maximum find a minimum or maximum of a function within a specified interval to a tolerance of 1 â L 5. To find a minimum or maximum, follow these steps. 1. Select 3:minimum or 4:maximum from t[...]

3-28 Function Graphing 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 28 of 28 8303FUNC.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:16 PM Printed: 02/19/01 1:35 PM Page 28 of 28 dy/dx (numerical derivative) finds the numerical derivative (slope) of a function a[...]

Parametric Graphing 4-1 8304PARA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:17 PM Printed: 02/19/01 1:36 PM Page 1 of 8 4 Parametric Graphin g Getting Started: Path of a Ball ........................... 4-2 Defining and Displaying Parametric Graphs .............. 4-4 Exploring Parametric Graphs ............................ 4[...]

4-2 Parametric Graphing 8304PARA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:17 PM Printed: 02/19/01 1:36 PM Page 2 of 8 Getting Started is a fast-paced introduction. Read the chapter for details. Graph the parametric equation that describes the path of a ball hit at an initial speed of 30 meters per second, at an initial ang[...]

Parametric Graphing 4-3 8304PARA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:17 PM Printed: 02/19/01 1:36 PM Page 3 of 8 The horizontal component vector is defined by X 3T and Y 3T . 6. Press  ~ 2 , and then press 1 Í to define X 3T . Press 0 Í to define Y 3T . 7. Press | | } Í to change the graph style to è for X 3T a[...]

4-4 Parametric Graphing 8304PARA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:17 PM Printed: 02/19/01 1:36 PM Page 4 of 8 The steps for defining a parametric graph are similar to the steps for defining a function graph. Chapter 4 assumes that you are familiar with Chapter 3: Function Graphing. Chapter 4 details aspects of para[...]

Parametric Graphing 4-5 8304PARA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:17 PM Printed: 02/19/01 1:36 PM Page 5 of 8 To define or edit a parametric equation, follow the steps in Chapter 3 for defining a function or editing a function. The independent variable in a parametric equation is T . In Par graphing mode, you can e[...]

4-6 Parametric Graphing 8304PARA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:17 PM Printed: 02/19/01 1:36 PM Page 6 of 8 To display the current graph format settings, press y [ FORMAT ]. Chapter 3 describes the format settings in detail. The other graphing modes share these format settings; Seq graphing mode has an additional[...]

Parametric Graphing 4-7 8304PARA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:17 PM Printed: 02/19/01 1:36 PM Page 7 of 8 The free-moving cursor in Par graphing works the same as in Func graphing. In RectGC format, moving the cursor updates the values of X and Y ; if CoordOn format is selected, X and Y are displayed. In PolarG[...]

4-8 Parametric Graphing 8304PARA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:17 PM Printed: 02/19/01 1:36 PM Page 8 of 8 To move the trace cursor to any valid T value on the current function, enter the number. When you enter the first digit, a T= prompt and the number you entered are displayed in the bottom-left corner of the[...]

Polar Graphing 5-1 8305POLR.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:19 PM Printed: 02/19/01 1:36 PM Page 1 of 6 5 Polar Graphin g Getting Started: Polar Rose .............................. 5-2 Defining and Displaying Polar Graphs ................... 5-3 Exploring Polar Graphs .................................. 5-6 Content[...]

5-2 Polar Graphing 8305POLR.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:19 PM Printed: 02/19/01 1:36 PM Page 2 of 6 Getting Started is a fast-paced introduction. Read the chapter for details. The polar equation R=Asin(B q ) graphs a rose. Graph the rose for A=8 and B=2.5, and then explore the appearance of the rose for other [...]

Polar Graphing 5-3 8305POLR.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:19 PM Printed: 02/19/01 1:36 PM Page 3 of 6 The steps for defining a polar graph are similar to the steps for defining a function graph. Chapter 5 assumes that you are familiar with Chapter 3: Function Graphing. Chapter 5 details aspects of polar graphing[...]

5-4 Polar Graphing 8305POLR.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:19 PM Printed: 02/19/01 1:36 PM Page 4 of 6 To define or edit a polar equation, follow the steps in Chapter 3 for defining a function or editing a function. The independent variable in a polar equation is q . In Pol graphing mode, you can enter the polar [...]

Polar Graphing 5-5 8305POLR.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:19 PM Printed: 02/19/01 1:36 PM Page 5 of 6 To display the current graph format settings, press y [ FORMAT ]. Chapter 3 describes the format settings in detail. The other graphing modes share these format settings. When you press s , the TI - 83 plots the[...]

5-6 Polar Graphing 8305POLR.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:19 PM Printed: 02/19/01 1:36 PM Page 6 of 6 The free-moving cursor in Pol graphing works the same as in Func graphing. In RectGC format, moving the cursor updates the values of X and Y ; if CoordOn format is selected, X and Y are displayed. In PolarGC for[...]

Sequence Graphing 6-1 8306SEQN.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:22 PM Printed: 02/19/01 1:36 PM Page 1 of 16 6 Sequence Graphin g Getting Started: Forest and Trees ........................ 6-2 Defining and Displaying Sequence Graphs ............... 6-3 Selecting Axes Combinations ............................ 6-8 Ex[...]

6-2 Sequence Graphing 8306SEQN.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:22 PM Printed: 02/19/01 1:36 PM Page 2 of 16 Getting Started is a fast-paced introduction. Read the chapter for details. A small forest of 4,000 trees is under a new forestry plan. Each year 20 percent of the trees will be harvested and 1,000 new trees[...]

Sequence Graphing 6-3 8306SEQN.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:22 PM Printed: 02/19/01 1:36 PM Page 3 of 16 The steps for defining a sequence graph are similar to the steps for defining a function graph. Chapter 6 assumes that you are familiar with Chapter 3: Function Graphing. Chapter 6 details aspects of sequenc[...]

6-4 Sequence Graphing 8306SEQN.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:22 PM Printed: 02/19/01 1:36 PM Page 4 of 16 After selecting Seq mode, press o to display the sequence Y= editor. In this editor, you can display and enter sequences for u( n ) , v( n ) , and w( n ) . Also, you can edit the value for n Min , which is t[...]

Sequence Graphing 6-5 8306SEQN.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:22 PM Printed: 02/19/01 1:36 PM Page 5 of 16 To define or edit a sequence function, follow the steps in Chapter 3 for defining a function. The independent variable in a sequence is n . In Seq graphing mode, you can enter the sequence variable in either[...]

6-6 Sequence Graphing 8306SEQN.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:22 PM Printed: 02/19/01 1:36 PM Page 6 of 16 In a recursive sequence, the n th term in the sequence is defined in relation to the previous term or the term that precedes the previous term, represented by u( n N 1) and u( n N 2) . A recursive sequence m[...]

Sequence Graphing 6-7 8306SEQN.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:22 PM Printed: 02/19/01 1:36 PM Page 7 of 16 To display the window variables, press p . These variables define the viewing window. The values below are defaults for Seq graphing in both Radian and Degree angle modes. n Min=1 Smallest n value to evaluat[...]

6-8 Sequence Graphing 8306SEQN.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:22 PM Printed: 02/19/01 1:36 PM Page 8 of 16 To display the current graph format settings, press y [ FORMAT ]. Chapter 3 describes the format settings in detail. The other graphing modes share these format settings. The axes setting on the top line of [...]

Sequence Graphing 6-9 8306SEQN.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:22 PM Printed: 02/19/01 1:36 PM Page 9 of 16 The free-moving cursor in Seq graphing works the same as in Func graphing. In RectGC format, moving the cursor updates the values of X and Y ; if CoordOn format is selected, X and Y are displayed. In PolarGC[...]

6-10 Sequence Graphing 8306SEQN.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:22 PM Printed: 02/19/01 1:36 PM Page 10 of 16 ZOOM operations in Seq graphing work the same as in Func graphing. Only the X ( Xmin , Xmax , and Xscl ) and Y ( Ymin , Ymax , and Yscl ) window variables are affected. PlotStart , PlotStep , n Min , and n[...]

Sequence Graphing 6-11 8306SEQN.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:22 PM Printed: 02/19/01 1:36 PM Page 11 of 16 To select Web axes format, press y [ FORMAT ] ~ Í . A web plot graphs u( n ) versus u( n N 1) , which you can use to study long-term behavior (convergence, divergence, or oscillation) of a recursive seque[...]

6-12 Sequence Graphing 8306SEQN.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:22 PM Printed: 02/19/01 1:36 PM Page 12 of 16 1. Press o in Seq mode to display th e sequence Y= editor. Make sure the graph style is set to í (dot), and then define n Min , u( n ) and u( n Min) as shown below. 2. Press y [ FORMAT ] Í to set Time ax[...]

Sequence Graphing 6-13 8306SEQN.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:22 PM Printed: 02/19/01 1:36 PM Page 13 of 16 The phase-plot axes settings uv , vw , and uw show relationships between two sequences. To select a phase-plot axes setting, press y [ FORMAT ], press ~ until the cursor is on uv , vw , or uw , and then pr[...]

6-14 Sequence Graphing 8306SEQN.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:22 PM Printed: 02/19/01 1:36 PM Page 14 of 16 2. Press y [ FORMAT ] Í to select Time axes format. 3. Press p and set the variables as shown below. n Min=0 Xmin=0 Ymin=0 n Max=400 Xmax=400 Ymax=300 PlotStart=1 Xscl=100 Yscl=100 PlotStep=1 4. Press s t[...]

Sequence Graphing 6-15 8306SEQN.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:22 PM Printed: 02/19/01 1:36 PM Page 15 of 16 Refer to the table if you are familiar with the TI - 82. It shows TI - 83 sequences and sequence window variables, as well as their TI - 82 counterparts. TI . 83 TI . 82 In the Y= editor: u( n )U n u( n Mi[...]

6-16 Sequence Graphing 8306SEQN.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:22 PM Printed: 02/19/01 1:36 PM Page 16 of 16 Refer to the table if you are familiar with the TI - 82. It compares TI - 83 sequence-name syntax and variable syntax with TI . 82 sequence-name syntax and variable syntax. TI . 83 / TI . 82 On TI . 83, pr[...]

Tables 7-1 8307TABL.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:26 PM Printed: 02/19/01 1:36 PM Page 1 of 6 7 Tables Getting Started: Roots of a Function ..................... 7-2 Setting Up the Table ..................................... 7-3 Defining the Dependent Variables ........................ 7-4 Displaying the Table .[...]

7-2 Tables 8307TABL.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:26 PM Printed: 02/19/01 1:36 PM Page 2 of 6 Getting Started is a fast-paced introduction. Read the chapter for details. Evaluate the function Y = X 3 N 2X at each integer between L 10 and 10. How many sign changes occur, and at what X values? 1. Press z † † ?[...]

Tables 7-3 8307TABL.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:26 PM Printed: 02/19/01 1:36 PM Page 3 of 6 To display the TABLE SETUP screen, press y [ TBLSET ]. TblStart (table start) defines the initial value for the independent variable. TblStart applies only when the independent variable is generated automatically (when [...]

7-4 Tables 8307TABL.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:26 PM Printed: 02/19/01 1:36 PM Page 4 of 6 In the Y= editor, enter the functions that define the dependent variables. Only functions that are selected in the Y= editor are displayed in the table. The current graphing mode is used. In Par mode, you must define bo[...]

Tables 7-5 8307TABL.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:26 PM Printed: 02/19/01 1:36 PM Page 5 of 6 To display the table, press y [ TABLE ]. Current cell Independent- variable values in the first column Dependent- variable values in the second and third columns Current cell’s full value Note: The table abbreviates t[...]

7-6 Tables 8307TABL.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:26 PM Printed: 02/19/01 1:36 PM Page 6 of 6 If Indpnt: Auto is selected, you can press } and † in the independent-variable column to display more values. As you scroll the column, the corresponding dependent- variable values also are displayed. All dependent-va[...]

DRAW Instructions 8-1 8308DRAW.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:29 PM Printed: 02/19/01 1:49 PM Page 1 of 20 8 Draw Instructions Getting Started: Drawing a Tangent Line ................. 8-2 Using the DRAW Menu ................................... 8-3 Clearing Drawings ....................................... 8-4 Dra[...]

8-2 DRAW Instructions 8308DRAW.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:29 PM Printed: 02/19/01 1:49 PM Page 2 of 20 Getting Started is a fast-paced introduction. Read the chapter for details. Suppose you want to find the equation of the tangent line at X = ‡ 2/2 for the function Y = sinX. Before you begin, select Radian[...]

DRAW Instructions 8-3 8308DRAW.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:29 PM Printed: 02/19/01 1:49 PM Page 3 of 20 To display the DRAW menu, press y [ DRAW ]. The TI - 83’s interpretation of these instructions depends on whether you accessed the menu from the home screen or the program editor or directly from a graph. [...]

8-4 DRAW Instructions 8308DRAW.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:29 PM Printed: 02/19/01 1:49 PM Page 4 of 20 All points, lines, and shading drawn on a graph with DRAW instructions are temporary. To clear drawings from the currently displayed graph, select 1:ClrDraw from the DRAW menu. The current graph is replotted[...]

DRAW Instructions 8-5 8308DRAW.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:29 PM Printed: 02/19/01 1:49 PM Page 5 of 20 To draw a line segment when a graph is displayed, follow these steps. 1. Select 2:Line( from the DRAW menu. 2. Place the cursor on the point where you want the line segment to begin, and then press Í . 3. M[...]

8-6 DRAW Instructions 8308DRAW.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:29 PM Printed: 02/19/01 1:49 PM Page 6 of 20 To draw a horizontal or vertical line when a graph is displayed, follow these steps. 1. Select 3:Horizontal or 4:Vertical from the DRAW menu. A line is displayed that moves as you move the cursor. 2. Place t[...]

DRAW Instructions 8-7 8308DRAW.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:29 PM Printed: 02/19/01 1:49 PM Page 7 of 20 Horizontal (horizontal line) draws a horizontal line at Y = y . y can be an expression but not a list. Horizontal y Vertical (vertical line) draws a vertical line at X = x . x can be an expression but not a [...]

8-8 DRAW Instructions 8308DRAW.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:29 PM Printed: 02/19/01 1:49 PM Page 8 of 20 To draw a tangent line when a graph is displayed, follow these steps. 1. Select 5:Tangent( from the DRAW menu. 2. Press † and } to move the cursor to the function for which you want to draw the tangent lin[...]

DRAW Instructions 8-9 8308DRAW.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:29 PM Printed: 02/19/01 1:49 PM Page 9 of 20 DrawF (draw function) draws expression as a function in terms of X on the current graph. When you select 6:DrawF from the DRAW menu, the TI - 83 returns to the home screen or the program editor. DrawF is not[...]

8-10 DRAW Instructions 8308DRAW.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:29 PM Printed: 02/19/01 1:49 PM Page 10 of 20 To shade an area on a graph, select 7:Shade( from the DRAW menu. The instruction is pasted to the home screen or to the program editor. Shade( draws lowerfunc and upperfunc in terms of X on the current gra[...]

DRAW Instructions 8-11 8308DRAW.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:29 PM Printed: 02/19/01 1:49 PM Page 11 of 20 To draw a circle directly on a displayed graph using the cursor, follow these steps. 1. Select 9:Circle( from the DRAW menu. 2. Place the cursor at the center of the circle you want to draw. Press Í . 3. [...]

8-12 DRAW Instructions 8308DRAW.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:29 PM Printed: 02/19/01 1:49 PM Page 12 of 20 To place text on a graph when the graph is displayed, follow these steps. 1. Select 0:Text( from the DRAW menu. 2. Place the cursor where you want the text to begin. 3. Enter the characters. Press ƒ or y [...]

DRAW Instructions 8-13 8308DRAW.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:29 PM Printed: 02/19/01 1:49 PM Page 13 of 20 Pen draws directly on a graph only. You cannot execute Pen from the home screen or a program. To draw on a displayed graph, follow these steps. 1. Select A:Pen from the DRAW menu. 2. Place the cursor on th[...]

8-14 DRAW Instructions 8308DRAW.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:29 PM Printed: 02/19/01 1:49 PM Page 14 of 20 To display the DRAW POINTS menu, press y [ DRAW ] ~ . The TI - 83’s interpretation of these instructions depends on whether you accessed this menu from the home screen or the program editor or directly f[...]

DRAW Instructions 8-15 8308DRAW.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:29 PM Printed: 02/19/01 1:49 PM Page 15 of 20 To erase (turn off) a drawn point on a graph, follow these steps. 1. Select 2:Pt . Off( (point off) from the DRAW POINTS menu. 2. Move the cursor to the point you want to erase. 3. Press Í to erase the po[...]

8-16 DRAW Instructions 8308DRAW.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:29 PM Printed: 02/19/01 1:49 PM Page 16 of 20 A pixel is a square dot on the TI - 83 display. The Pxl . (pixel) instructions let you turn on, turn off, or reverse a pixel (dot) on the graph using the cursor. When you select a pixel instruction from th[...]

DRAW Instructions 8-17 8308DRAW.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:29 PM Printed: 02/19/01 1:49 PM Page 17 of 20 To display the DRAW STO menu, press y [ DRAW ] | . When you select an instruction from the DRAW STO menu, the TI - 83 returns to the home screen or the program editor. The picture and graph database instru[...]

8-18 DRAW Instructions 8308DRAW.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:29 PM Printed: 02/19/01 1:49 PM Page 18 of 20 To recall a graph picture, follow these steps. 1. Select 2:RecallPic from the DRAW STO menu. RecallPic is pasted to the current cursor location. 2. Enter the number (from 1 to 9 , or 0 ) of the picture var[...]

DRAW Instructions 8-19 8308DRAW.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:29 PM Printed: 02/19/01 1:49 PM Page 19 of 20 A graph database ( GDB ) contains the set of elements that defines a particular graph. You can recreate the graph from these elements. You can store up to 10 GDB s in variables GDB1 through GDB9 , or GDB0 [...]

8-20 DRAW Instructions 8308DRAW.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:29 PM Printed: 02/19/01 1:49 PM Page 20 of 20 CAUTION: When you recall a GDB , it replaces all existing Y= functions. Consider storing the current Y= functions to another database before recalling a stored GDB . To recall a graph database, follow thes[...]

Split Screen 9-1 8309SPLT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:31 PM Printed: 02/19/01 1:36 PM Page 1 of 6 9 Split Screen Getting Started: Exploring the Unit Circle ................ 9-2 Using Split Screen ....................................... 9-3 Horiz (Horizontal) Split Screen .......................... 9-4 G . T (G[...]

9-2 Split Screen 8309SPLT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:31 PM Printed: 02/19/01 1:36 PM Page 2 of 6 Getting Started is a fast-paced introduction. Read the chapter for details. Use G . T (graph-table) split-screen mode to explore the unit circle and its relationship to the numeric values for the commonly used tri[...]

Split Screen 9-3 8309SPLT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:31 PM Printed: 02/19/01 1:36 PM Page 3 of 6 To set a split-screen mode, press z , and then move the cursor to the bottom line of the mode screen. • Select Horiz (horizontal) to display the graph screen and another screen split horizontally. • Select G .[...]

9-4 Split Screen 8309SPLT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:31 PM Printed: 02/19/01 1:36 PM Page 4 of 6 In Horiz (horizontal) split-screen mode, a horizontal line splits the screen into top and bottom halves. The top half displays the graph. The bottom half displays any of these editors. • Home screen (four lines)[...]

Split Screen 9-5 8309SPLT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:31 PM Printed: 02/19/01 1:36 PM Page 5 of 6 In G . T (graph-table) split-screen mode, a vertical line splits the screen into left and right halves. The left half displays the graph. The right half displays the table. To use the left half of the split screen[...]

9-6 Split Screen 8309SPLT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:31 PM Printed: 02/19/01 1:36 PM Page 6 of 6 Note: Each set of numbers in parentheses above represents the row and column of a corner pixel, which is turned on. For Pxl . On( , Pxl . Off( , Pxl . Change( , and pxl . Test( : • In Horiz mode, row must be { 3[...]

Matrices 10-1 8310MTRX.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:35 PM Printed: 02/19/01 1:36 PM Page 1 of 16 10 Matrices Getting Started: Systems of Linear Equations ............ 10-2 Defining a Matrix ........................................ 10-2 Viewing and Editing Matrix Elements .................... 10-4 Using Matrices[...]

10-2 Matrices 8310MTRX.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:35 PM Printed: 02/19/01 1:36 PM Page 2 of 16 Getting Started is a fast-paced introduction. Read the chapter for details. Find the solution of X + 2Y + 3Z = 3 and 2X + 3Y + 4Z = 3. On the TI - 83, you can solve a system of linear equations by entering the coeff[...]

Matrices 10-3 8310MTRX.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:35 PM Printed: 02/19/01 1:36 PM Page 3 of 16 A matrix is a two-dimensional array. You can display, define, or edit a matrix in the matrix editor. The TI - 83 has 10 matrix variables, [A] through [J] . You can define a matrix directly in an expression. A matrix[...]

10-4 Matrices 8310MTRX.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:35 PM Printed: 02/19/01 1:36 PM Page 4 of 16 After you have set the dimensions of the matrix, you can view the matrix and enter values for the matrix elements. In a new matrix, all values are zero. Select the matrix from the MATRX EDIT menu and enter or accept[...]

Matrices 10-5 8310MTRX.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:35 PM Printed: 02/19/01 1:36 PM Page 5 of 16 The matrix editor has two contexts, viewing and editing. In viewing context, you can use the cursor keys to move quickly from one matrix element to the next. The full value of the highlighted element is displayed on[...]

10-6 Matrices 8310MTRX.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:35 PM Printed: 02/19/01 1:36 PM Page 6 of 16 In editing context, an edit cursor is active on the bottom line. To edit a matrix element value, follow these steps. 1. Select the matrix from the MATRX EDIT menu, and then enter or accept the dimensions. 2. Press |[...]

Matrices 10-7 8310MTRX.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:35 PM Printed: 02/19/01 1:36 PM Page 7 of 16 To use a matrix in an expression, you can do any of the following. • Copy the name from the MATRX NAMES menu. • Recall the contents of the matrix into the expression with y [ RCL ] (Chapter 1). • Enter the mat[...]

10-8 Matrices 8310MTRX.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:35 PM Printed: 02/19/01 1:36 PM Page 8 of 16 To display the contents of a matrix on the home screen, select the matrix from the MATRX NAMES menu, and then press Í . Ellipses in the left or right column indicate additional columns. # or $ in the right column i[...]

Matrices 10-9 8310MTRX.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:35 PM Printed: 02/19/01 1:36 PM Page 9 of 16 You can use many of the math functions on the T I - 83 keyboard, the MATH menu, the MATH NUM menu, a nd the MATH TEST menu with matrices. However, the d imensions must be appropriate. Eac h of the functions below cr[...]

10-10 Matrices 8310MTRX.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:35 PM Printed: 02/19/01 1:36 PM Page 10 of 16 abs( (absolute value, MATH NUM menu) returns a matrix containing the absolute value of each element of matrix . abs( matrix ) round( ( MATH NUM menu) returns a matrix. It rounds every element in matrix to # decima[...]

Matrices 10-11 8310MTRX.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:35 PM Printed: 02/19/01 1:36 PM Page 11 of 16 To compare two matrices using the relational operations = and ƒ ( TEST menu), they must have the same dimensions. = and ƒ compare matrixA and matrixB on an element-by- element basis. The other relational operati[...]

10-12 Matrices 8310MTRX.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:35 PM Printed: 02/19/01 1:36 PM Page 12 of 16 To display the MATRX MATH menu, press  ~ . NAMES MATH EDIT 1: det( Calculates the determinant. 2: T Transposes the matrix. 3: dim( Returns the matrix dimensions. 4: Fill( Fills all elements with a constant. 5: [...]

Matrices 10-13 8310MTRX.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:35 PM Printed: 02/19/01 1:36 PM Page 13 of 16 Use dim( with ¿ to create a new matrixname of dimensions rows × columns with 0 as each element. { rows , columns } ! dim( matrixname ) Use dim( with ¿ to redimension an existing matrixname to dimensions rows ×[...]

10-14 Matrices 8310MTRX.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:35 PM Printed: 02/19/01 1:36 PM Page 14 of 16 augment( appends matrixA to matrixB as new columns. matrixA and matrixB both must have the same number of rows. augment( matrixA , matrixB ) Matr 4 list( (matrix stored to list) fills each listname with elements f[...]

Matrices 10-15 8310MTRX.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:35 PM Printed: 02/19/01 1:36 PM Page 15 of 16 cumSum( returns cumulative sums of the elements in matrix , starting with the first element. Each element is the cumulative sum of the column from top to bottom. cumSum( matrix ) MATRX MATH menu items A through F [...]

10-16 Matrices 8310MTRX.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:35 PM Printed: 02/19/01 1:36 PM Page 16 of 16 rowSwap( returns a matrix. It swaps rowA and rowB of matrix . rowSwap( matrix , rowA , rowB ) row+( (row addition) returns a matrix. It adds rowA and rowB of matrix and stores the results in rowB . row+( matrix , [...]

Lists 11-1 8311LIST.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:21 PM Printed: 02/19/01 1:37 PM Page 1 of 18 11 Lists Getting Started: Generating a Sequence .................. 11-2 Naming Lists ............................................. 11-3 Storing and Displaying Lists ............................. 11-4 Entering List Names[...]

11-2 Lists 8311LIST.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:21 PM Printed: 02/19/01 1:37 PM Page 2 of 18 Getting Started is a fast-paced introduction. Read the chapter for details. Calculate the first eight terms of the sequence 1/ A 2 . Store the results to a user- created list. Then display the results in fraction form. [...]

Lists 11-3 8311LIST.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:21 PM Printed: 02/19/01 1:37 PM Page 3 of 18 The TI - 83 has six list names in memory: L 1 , L 2 , L 3 , L 4 , L 5 , and L 6 . The list names L 1 through L 6 are on the keyboard above the numeric keys À through ¸ . To paste one of these names to a valid screen, [...]

11-4 Lists 8311LIST.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:21 PM Printed: 02/19/01 1:37 PM Page 4 of 18 You can store list elements in either of two ways. • Use braces and ¿ on the home screen. • Use the stat list editor (Chapter 12). The maximum dimension of a list is 999 elements. Tip: When you store a complex numb[...]

Lists 11-5 8311LIST.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:21 PM Printed: 02/19/01 1:37 PM Page 5 of 18 To copy a list, store it to another list. You can store a value to or recall a value from a specific list element . You can store to any element within the current list dimension or one element beyond. listname ( elemen[...]

11-6 Lists 8311LIST.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:21 PM Printed: 02/19/01 1:37 PM Page 6 of 18 To display the LIST NAMES menu, press y [ LIST ]. Each item is a user-created list name. LIST NAMES men u items are sorted automatically in alph anumerical order. Only the first 10 items are labeled, using 1 through 9 ,[...]

Lists 11-7 8311LIST.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:21 PM Printed: 02/19/01 1:37 PM Page 7 of 18 You can attach a formula to a list name so that each list element is a result of the formula. When executed, the attached formula must resolve to a list. When anything in the attached formula changes, the list to which [...]

11-8 Lists 8311LIST.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:21 PM Printed: 02/19/01 1:37 PM Page 8 of 18 To attach a formula to a list name from a blank line on the home screen or from a program, follow these steps. 1. Press ƒ [ ã ], enter the formula (which m ust resolve to a list), and press ƒ [ ã ] again. Note: When[...]

Lists 11-9 8311LIST.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:21 PM Printed: 02/19/01 1:37 PM Page 9 of 18 You can use lists in an expression in any of three ways. When you press Í , any expression is evaluated for each list element, and a list is displayed. • Use L 1 – L 6 or any user-created list nam e in an expressio[...]

11-10 Lists 8311LIST.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:21 PM Printed: 02/19/01 1:37 PM Page 10 of 18 To display the LIST OPS menu, press y [ LIST ] ~ . NAMES OPS MATH 1: SortA( Sorts lists in ascending order. 2: SortD( Sorts lists in descending order. 3: dim( Sets the list dimension. 4: Fill( Fills all elements with [...]

Lists 11-11 8311LIST.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:21 PM Printed: 02/19/01 1:37 PM Page 11 of 18 dim( (dimension) returns the length (number of elements) of list . dim( list ) You can use dim( with ¿ to create a new listname with dimension length from 1 to 999. The elements are zeros. length ! dim( listname ) Yo[...]

11-12 Lists 8311LIST.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:21 PM Printed: 02/19/01 1:37 PM Page 12 of 18 seq( (sequence) returns a list in which each element is the result of the evaluation of expression with regard to variable for the values ranging from begin to end at steps of increment . variable need not be defined [...]

Lists 11-13 8311LIST.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:21 PM Printed: 02/19/01 1:37 PM Page 13 of 18 Before using Select( , follow these steps. 1. Create two list names and enter the data. 2. Turn on a stat plot, sele ct " (scatter plot) or Ó (xyLine), and enter the two list names for Xlist: and Ylist: (Chapter[...]

11-14 Lists 8311LIST.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:21 PM Printed: 02/19/01 1:37 PM Page 14 of 18 6. Press Í . A 4 indicator on the graph screen shows the left bound. Right Bound? is displayed in the bottom- left corner. 7. Press | or ~ to move the cursor to the stat plot po int that you want for the right bound,[...]

Lists 11-15 8311LIST.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:21 PM Printed: 02/19/01 1:37 PM Page 15 of 18 augment( concatenates the elements of listA and listB . The list elements can be real or complex numbers. augment( listA , listB ) List 4 matr( (lists stored to matrix) fills matrixname column by column with the eleme[...]

11-16 Lists 8311LIST.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:21 PM Printed: 02/19/01 1:37 PM Page 16 of 18 Matr 4 list( (matrix stored to lists) fills each listname with elements from each column in matrix . If the number of listname arguments exceeds the number of columns in matrix , then Matr 4 list( ignores extra listna[...]

Lists 11-17 8311LIST.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:21 PM Printed: 02/19/01 1:37 PM Page 17 of 18 To display the LIST MATH menu, press y [ LIST ] | . NAMES OPS MATH 1: min( Returns minimum element of a list. 2: max( Returns maximum element of a list. 3: mean( Returns mean of a list. 4: median( Returns median of a [...]

11-18 Lists 8311LIST.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:21 PM Printed: 02/19/01 1:37 PM Page 18 of 18 sum( (summation) returns the sum of the elements in list . start and end are optional; they specify a range of elements. list elements can be real or complex numbers. prod( returns the product of all elements of list [...]

Statistics 12-1 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 1 of 38 12 Statistics Getting Started: Pendulum Lengths and Periods ......... 12-2 Setting Up Statistical Analyses ........................... 12-10 Using the Stat List Editor ................................ 12-11 Attach[...]

12-2 Statistics 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 2 of 38 Getting Started is a fast-paced introduction. Read the chapter for details. A group of students is attempting to determine the mathematical relationship between the length of a pendulum and its period (one complet[...]

Statistics 12-3 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 3 of 38 4. Press 6 Ë 5 Í to store the first pendulum string length (6.5 cm) in L 1 . The rectangular cursor moves to the next row. Repeat this step to enter each of the 12 string length values in the table on page 12 . [...]

12-4 Statistics 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 4 of 38 Since the scatter plot of time-versus-length data appears to be approximately linear, fit a line to the data. 10. Press … ~ 4 to select 4:LinReg(ax+b) (linear regression model) from the STAT CALC menu. LinReg(ax[...]

Statistics 12-5 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 5 of 38 The regression line appears to fit the central portion of the scatter plot well. However, a residual plot may provide more information about this fit. 14. Press … 1 to select 1:Edit . The stat list editor is dis[...]

12-6 Statistics 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 6 of 38 18. Press y [ STAT PLOT ] 2 to select 2:Plot2 from the STAT PLOTS menu. The stat plot editor is displayed for plot 2. 19. Press Í to select On , which turns on plot 2. Press † Í to select " (scatter plot)[...]

Statistics 12-7 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 7 of 38 The residual pattern indicates a curvature associated with this data set for which the linear model did not account. The residual plot emphasizes a downward curvature, so a model that curves down with the data wou[...]

12-8 Statistics 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 8 of 38 The new function y=.192x . 522 appears to fit the data well. To get more information, examine a residual plot. 27. Press o to display the Y= editor. Press | Í to deselect Y 1 . Press } Í to turn off plot 1. Pres[...]

Statistics 12-9 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 9 of 38 Now that you have a good model for the relationship between length and period, you can use the model to predict the period for a given string length. To predict the periods for a pendulum with string lengths of 20[...]

12-10 Statistics 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 10 of 38 Data for statistical analyses is stored in lists, which you can create and edit using the stat list editor. The TI - 83 has six list variables in memory, L 1 through L 6 , to which you can store data for statist[...]

Statistics 12-11 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 11 of 38 To enter a list name in the stat list editor, fo llow these steps. 1. Display the Name= prompt in the entry line in either of two ways. • Move the cursor on to the list name in the colu mn where you want to in[...]

12-12 Statistics 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 12 of 38 To create a name in the stat list editor, follow these steps. 1. Follow step 1 on page 12 . 11 to display the Name= prompt. 2. Press [ letter from A to Z or q ] to enter the first letter of the name. The first c[...]

Statistics 12-13 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 13 of 38 To edit a list element, follow these steps. 1. Move the rectangular cursor onto the element you want to edit. 2. Press Í to move the cursor to the entry lin e. Note: If you want to replace the current value, yo[...]

12-14 Statistics 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 14 of 38 You can attach a formula to a list name in the stat list editor, and then display and edit the calculated list elements. When executed, the attached formula must resolve to a list. Chapter 11 describes in detail[...]

Statistics 12-15 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 15 of 38 When you edit an element of a list referenced in an attached formula, the TI - 83 updates the corresponding element in the list to which the formula is attached (Chapter 11). When a list with a formula attached [...]

12-16 Statistics 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 16 of 38 You can detach (clear) a formula from a list name in any of four ways. • In the stat list editor, move the cursor onto the name of the list to which a formula is attached. Press Í ‘ Í . All list elements r[...]

Statistics 12-17 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 17 of 38 The stat list editor has four contexts. • View-elements context • Edit-elements context • View-names context • Enter-name context The stat list editor is first displayed in view-elements context. To swit[...]

12-18 Statistics 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 18 of 38 In view-elements context, the entry line displays the list name, the current element’s place in that list, and the full value of the current element, up to 12 characters at a time. An ellipsis ( ... ) indicate[...]

Statistics 12-19 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 19 of 38 In view-names context, the entry line displays the list name and the list elements. To remove a list from the stat list editor, press { . Remaining lists shift to the left one column. The list is not deleted fro[...]

12-20 Statistics 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 20 of 38 To display the STAT EDIT menu, press … . EDIT CALC TESTS 1: Edit ... Displays the stat list editor. 2: SortA( Sorts a list in ascending order. 3: SortD( Sorts a list in descending order. 4: ClrList Deletes all[...]

Statistics 12-21 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 21 of 38 With SetUpEditor you can set up the stat list editor to display one or more listnames in the order that you specify. You can specify zero to 20 listnames . SetUpEditor [ listname1 , listname2 , ... , listname n [...]

12-22 Statistics 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 22 of 38 STAT CALC menu items 3 through C are regression models (page 12 . 24). The automatic residual list and automatic regression equation features apply to all regression models. Diagnostics display mode applies to s[...]

Statistics 12-23 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 23 of 38 When you execute some regression models, the TI - 83 computes and stores diagnostics values for r (correlation coefficient) and r 2 (coefficient of determination) or for R 2 (coefficient of determination). r and[...]

12-24 Statistics 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 24 of 38 To display the STAT CALC menu, press … ~ . EDIT CALC TESTS 1: 1-Var Stats Calculates 1-variable statistics. 2: 2-Var Stats Calculates 2-variable statistics. 3: Med-Med Calculates a median-median line. 4: LinRe[...]

Statistics 12-25 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 25 of 38 1 . Var Stats (one-variable statistics) analyzes data with one measured variable. Each element in freqlist is the frequency of occurrence for each corresponding data point in Xlistname . freqlist elements must b[...]

12-26 Statistics 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 26 of 38 CubicReg (cubic regression) fits the third-degree polynomial y=ax 3 +bx 2 +cx+d to the data. It displays values for a , b , c , and d ; when DiagnosticOn is set, it also displays a value for R 2 . For four point[...]

Statistics 12-27 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 27 of 38 PwrReg (power regression) fits the mo del equation y=ax b to the data using a least-squares fit and tran sformed values ln(x) and ln(y). It displays values for a and b ; when DiagnosticOn is set, it also display[...]

12-28 Statistics 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 28 of 38 Compute the regression model for the number of hours of daylight in Alaska during one year. & & With noisy data, you will achieve better convergence results when you specify an accurate estimate for peri[...]

Statistics 12-29 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 29 of 38 The statistical variables are calculated and stored as indicated below. To access these variables for use in expressions, press  , and select 5:Statistics . Then select the VARS menu shown in the column below[...]

12-30 Statistics 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 30 of 38 You can enter statistical data, calculate statistical results, and fit models to data from a program. You can enter statistical data into lists directly within the program (Chapter 11). To perform a statistical [...]

Statistics 12-31 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 31 of 38 You can plot statistical data that is stored in lists. The six types of plots available are scatter plot, xyLine, histogram, modified box plot, regular box plot, and normal probability plot. You can define up to[...]

12-32 Statistics 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 32 of 38 Histogram plots one-variable da ta. The Xscl window variable value determines the width o f each bar, beginnin g at Xmin . ZoomStat adjusts Xmin , Xmax , Ymin , and Ymax to include all values, and also adjusts X[...]

Statistics 12-33 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 33 of 38 Boxplot (regular box plot) plots one-variable data. The whiskers on the plot extend from the minimum data point in the set ( minX ) to the first quartile ( Q 1 ) and from the third quartile ( Q 3 ) to the maximu[...]

12-34 Statistics 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 34 of 38 To define a plot, follow these steps. 1. Press y [ STAT PLOT ]. The STAT PLOTS menu is displayed with the current plot definitions. 2. Select the plot you want to use. The stat plot editor is displayed for the p[...]

Statistics 12-35 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 35 of 38 Each stat plot has a unique stat plot editor. The name of the current stat plot ( Plot1 , Plot2 , or Plot3 ) is highlighted in the top line of the stat plot editor. To display the stat plot editor for a differen[...]

12-36 Statistics 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 36 of 38 Stat plots are displayed on the current graph. To define the viewing window, press p and enter values for the window variables. ZoomStat redefines the viewing window to display all statistical data points. When [...]

Statistics 12-37 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 37 of 38 To display a stat plot from a program, define the plot, and then display the graph. To define a stat plot from a program, begin on a blank line in the program editor and enter data into one or more lists; then, [...]

12-38 Statistics 8312STAT.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:42 PM Printed: 02/19/01 1:37 PM Page 38 of 38 5. Press ¢ . Enter the list names, separated by commas. 6. Press ¢ y [ STAT PLOT ] | to display the STAT PLOT MARK menu. (This step is not necessary if you selected 3:Histogram or 5:Boxplot in step 4.) Select [...]

Inferential Statistics and Distributions 13-1 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 1 of 36 13 Inferential Statistics and Distributions Getting Started: Mean Height of a Population ............ 13-2 Inferential Stat Editors ................................... 13-6 STAT TESTS[...]

13-2 Inferential Statistics and Distributions 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 2 of 36 Getting Started is a fast-paced introduction. Read the chapter for details. Suppose you want to estimate the mean height of a population of women given the random sample below. Becaus[...]

Inferential Statistics and Distributions 13-3 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 3 of 36 4. Press … | to display the STAT TESTS menu, and then press † until 8:TInterval is highlighted. 5. Press Í to select 8:TInterval . The inferential stat editor for TInterval is di[...]

13-4 Inferential Statistics and Distributions 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 4 of 36 To obtain a more precise bound on the population mean m of women’s heights, increase the sample size to 90. Use a sample mean þ of 163.8 and sample standard deviation Sx of 7.1 cal[...]

Inferential Statistics and Distributions 13-5 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 5 of 36 11. Press 3 to paste invNorm( to the home screen. Press Ë 95 ¢ 165 Ë 1 ¢ 6 Ë 35 ¤ Í . .95 is the area, 165.1 is µ , and 6.35 is σ . The result is displayed on the home screen[...]

13-6 Inferential Statistics and Distributions 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 6 of 36 When you select a hypothesis test or confidence interval instruction from the home screen, the appropriate inferential statistics editor is displayed. The editors vary according to ea[...]

Inferential Statistics and Distributions 13-7 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 7 of 36 Most inferential stat editors prompt you to select one of two types of input. ( 1 . PropZInt and 2 . PropZTest , 1 . PropZInt and 2 . PropZInt , c 2 . Test , and LinRegTTest do not.) [...]

13-8 Inferential Statistics and Distributions 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 8 of 36 Pooled ( 2 . SampTTest and 2 . SampTInt only) specifies whether the variances are to be pooled for the calculation. • Select No if you do not want the variances pooled. Population v[...]

Inferential Statistics and Distributions 13-9 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 9 of 36 To display the STAT TESTS menu, press … | . When you select an inferential statistics instruction, the appropriate inferential stat editor is displayed. Most STAT TESTS instructions[...]

13-10 Inferential Statistics and Distributions 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 10 of 36 Z . Test (one-sample z test; item 1 ) performs a hypothesis test for a single unknown population mean m when the population standard deviation s is known. It tests the null hypothes[...]

Inferential Statistics and Distributions 13-11 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 11 of 36 T . Test (one-sample t test; item 2 ) performs a hypothesis test for a single unknown population mean m when the population standard deviation s is unknown. It tests the null hypoth[...]

13-12 Inferential Statistics and Distributions 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 12 of 36 2 . SampZTest (two-sample z test; item 3 ) tests the equality of the means of two populations ( m 1 and m 2 ) based on independent samples when both population standard deviations ([...]

Inferential Statistics and Distributions 13-13 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 13 of 36 2 . SampTTest (two-sample t test; item 4 ) tests the equality of the means of two populations ( m 1 and m 2 ) based on independent samples when neither population standard deviation[...]

13-14 Inferential Statistics and Distributions 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 14 of 36 1 . PropZTest (one-proportion z test; item 5 ) computes a test for an unknown proportion of successes (prop). It takes as input the count of successes in the sample x and the count [...]

Inferential Statistics and Distributions 13-15 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 15 of 36 2 . PropZTest (two-proportion z test; item 6 ) computes a test to compare the proportion of successes ( p 1 and p 2 ) from two populations. It takes as input the count of successes [...]

13-16 Inferential Statistics and Distributions 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 16 of 36 ZInterval (one-sample z confidence interval; item 7 ) computes a confidence interval for an unknown population mean m when the population standard deviation s is known. The computed[...]

Inferential Statistics and Distributions 13-17 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 17 of 36 TInterval (one-sample t confidence interval; item 8 ) computes a confidence interval for an unknown population mean m when the population standard deviation s is unknown. The comput[...]

13-18 Inferential Statistics and Distributions 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 18 of 36 2 . SampZInt (two-sample z confidence interval; item 9 ) computes a confidence interval f o r the difference between two population means ( m 1 Nm 2 ) when both population standard [...]

Inferential Statistics and Distributions 13-19 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 19 of 36 2 . SampTInt (two-sample t confidence interval; item 0 ) computes a confidence interval for the difference between two population means ( m 1 Nm 2 ) when both population standard de[...]

13-20 Inferential Statistics and Distributions 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 20 of 36 1 . PropZInt (one-proportion z confidence interval; item A ) computes a confidence interval for an unknown proportion of successes. It takes as input the count of successes in the s[...]

Inferential Statistics and Distributions 13-21 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 21 of 36 2 . PropZInt (two-proportion z confidence interval; item B ) computes a confidence interval for the difference between the proportion of successes in two populations (p 1 N p 2 ). I[...]

13-22 Inferential Statistics and Distributions 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 22 of 36 c 2 . Test (chi-square test; item C ) computes a chi-square test for association on the two-way table of counts in the specified Observed matrix. The null hypothesis H 0 for a two-w[...]

Inferential Statistics and Distributions 13-23 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 23 of 36 2 . Samp Ü Test (two-sample Û -test; item D ) computes an Û -test to compare two normal population standard deviations ( s 1 and s 2 ). The population means and standard deviatio[...]

13-24 Inferential Statistics and Distributions 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 24 of 36 LinRegTTest (linear regression t test; item E ) computes a linear regression on the given data and a t test on the value of slope b and the correlation coefficient r for the equatio[...]

Inferential Statistics and Distributions 13-25 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 25 of 36 ANOVA( (one-way analysis of variance; item F ) computes a one-way analysis of variance for comparing the means of two to 20 populations. The ANOVA procedure for comparing these mean[...]

13-26 Inferential Statistics and Distributions 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 26 of 36 The tables in this section describe the inferential statistics inputs discussed in this chapter. You enter values for these inputs in the inferential stat editors. The tables presen[...]

Inferential Statistics and Distributions 13-27 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 27 of 36 Input Description p 0 The expected sample proportion for 1 . PropZTest . Must be a real number, such that 0 < p 0 < 1. x The count of successes in the sample for the 1 . PropZ[...]

13-28 Inferential Statistics and Distributions 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 28 of 36 The inferential statistics variables are calculated as indicated below. To access these variables for use in expressions, press  , 5 ( 5:Statistics ), and then select the VARS me[...]

Inferential Statistics and Distributions 13-29 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 29 of 36 To display the DISTR menu, press y [ DISTR ]. DISTR DRAW 1: normalpdf( Normal probability density 2: normalcdf( Normal distribution probability 3: invNorm( Inverse cumulative normal[...]

13-30 Inferential Statistics and Distributions 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 30 of 36 normalcdf( computes the normal distribution probability between lowerbound and upperbound for the specified mean m and standard deviation s . The defaults are m =0 and s =1. normalc[...]

Inferential Statistics and Distributions 13-31 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 31 of 36 tcdf( computes the Student- t distribution probability between lowerbound and upperbound for the specified df (degrees of freedom), which must be > 0. tcdf( lowerbound , upperbou[...]

13-32 Inferential Statistics and Distributions 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 32 of 36 Ü pdf( computes the probability density function (pdf) for the Û distribution at a specified x value. numerator df (degrees of freedom) and denominator df must be integers > 0.[...]

Inferential Statistics and Distributions 13-33 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 33 of 36 binompdf( computes a probability at x for the discrete binomial distribution with the specified numtrials and probability of success ( p ) on each trial. x can be an integer or a li[...]

13-34 Inferential Statistics and Distributions 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 34 of 36 poissoncdf( computes a cumulative probability at x for the discrete Poisson distribution with the specified mean m , which must be a real number > 0. x can be a real number or a [...]

Inferential Statistics and Distributions 13-35 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 35 of 36 To display the DISTR DRAW menu, press y [ DISTR ] ~ . DISTR DRAW instructions draw various types of density functions, shade the area specified by lowerbound and upperbound , and di[...]

13-36 Inferential Statistics and Distributions 8313INFE.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:47 PM Printed: 02/19/01 1:38 PM Page 36 of 36 Shade_t( draws the density function for the Student- t distribution specified by df (degrees of freedom) and shades the area between lowerbound and upperbound . Shade_t( lowerbound [...]

Financial Functions 14-1 8314FINA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:50 PM Printed: 02/19/01 1:38 PM Page 1 of 14 14 Financial Functions Getting Started: Financing a Car ......................... 14-2 Getting Started: Computing Compound Interest .......... 14-3 Using the TVM Solver ...................................[...]

14-2 Financial Functions 8314FINA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:50 PM Printed: 02/19/01 1:38 PM Page 2 of 14 Getting Started is a fast-paced introduction. Read the chapter for details. You have found a car you would like to buy. The car costs 9,000. You can afford payments of 250 per month for four years. What a[...]

Financial Functions 14-3 8314FINA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:50 PM Printed: 02/19/01 1:38 PM Page 3 of 14 At what annual interest rate, compounded monthly, will 1,250 accumulate to 2,000 in 7 years? Note: Because there are no payments when you solve compound interest problems, PMT must be set to 0 and P/Y mus[...]

14-4 Financial Functions 8314FINA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:50 PM Printed: 02/19/01 1:38 PM Page 4 of 14 The TVM Solver displays the time-value-of-money ( TVM ) variables. Given four variable values, the TVM Solver solves for the fifth variable. The FINANCE VARS menu section (page 14 . 14) describes the five[...]

Financial Functions 14-5 8314FINA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:50 PM Printed: 02/19/01 1:38 PM Page 5 of 14 When using the TI - 83 financial functions, you must enter cash inflows (cash received) as positive numbers and cash outflows (cash paid) as negative numbers. The TI - 83 follows this convention when comp[...]

14-6 Financial Functions 8314FINA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:50 PM Printed: 02/19/01 1:38 PM Page 6 of 14 Use time-value-of-money ( TVM ) functions (menu items 2 through 6 ) to analyze financial instruments such as annuities, loans, mortgages, leases, and savings. Each TVM function takes zero to six arguments[...]

Financial Functions 14-7 8314FINA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:50 PM Printed: 02/19/01 1:38 PM Page 7 of 14 tvm_ æ computes the annual interest rate. tvm_ æ [ ( Ú , PV , PMT , FV , P/Y , C/Y ) ] tvm_PV computes the present value. tvm_PV [ ( Ú , æ , PMT , FV , P/Y , C/Y ) ] tvm_ Ú computes the number of pa[...]

14-8 Financial Functions 8314FINA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:50 PM Printed: 02/19/01 1:38 PM Page 8 of 14 Use the cash flow functions (menu items 7 and 8 ) to analyze the value of money over equal time periods. You can enter unequal cash flows, which can be cash inflows or outflows. The syntax descriptions fo[...]

Financial Functions 14-9 8314FINA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:50 PM Printed: 02/19/01 1:38 PM Page 9 of 14 Use the amortization functions (menu items 9 , 0 , and A ) to calculate balance, sum of principal, and sum of interest for an amortization schedule. bal( computes the balance for an amortization schedule [...]

14-10 Financial Functions 8314FINA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:50 PM Printed: 02/19/01 1:38 PM Page 10 of 14 You want to buy a home with a 30-year mortgage at 8 percent APR. Monthly payments are 800. Calculate the outstanding loan balance after each payment and display the results in a graph and in the table. [...]

Financial Functions 14-11 8314FINA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:50 PM Printed: 02/19/01 1:38 PM Page 11 of 14 6. Press p to display the window variables. Enter the values below. Tmin=0 Xmin=0 Ymin=0 Tmax=360 Xmax=360 Ymax=125000 Tstep=12 Xscl=50 Yscl=10000 7. Press r to draw the graph and activate the trace cur[...]

14-12 Financial Functions 8314FINA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:50 PM Printed: 02/19/01 1:38 PM Page 12 of 14 Use the interest conversion functions (menu items B and C ) to convert interest rates from an annual effective rate to a nominal rate ( 4 Nom( ) or from a nominal rate to an annual effective rate ( 4 Ef[...]

Financial Functions 14-13 8314FINA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:50 PM Printed: 02/19/01 1:38 PM Page 13 of 14 Use the date function dbd( (menu item D ) to calculate the number of days between two dates using the actual-day- count method. date1 and date2 can be numbers or lists of numbers within the range of the[...]

14-14 Financial Functions 8314FINA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:50 PM Printed: 02/19/01 1:38 PM Page 14 of 14 To display the FINANCE VARS menu, press y [ FINANCE ] ~ . You can use TVM variables in TVM functions and store values to them on the home screen. CALC VARS 1: Ú Total number of payment periods 2: æ An[...]

CATALOG , Strings, Hyperbolic Functions 15-1 8315CATS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:54 PM Printed: 02/19/01 1:39 PM Page 1 of 10 15 CATALOG, Strin g s, H y perbolic Functions Browsing the TI - 83 CATALOG ........................... 15-2 Entering and Using Strings ............................... 15-3 Storing Stri[...]

15-2 CATALOG , Strings, Hyperbolic Functions 8315CATS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:54 PM Printed: 02/19/01 1:39 PM Page 2 of 10 The CATALOG is an alphabetical list of all functions and instructions on the TI - 83. You also can access each CATALOG item from a menu or the keyboard, except: • The six string func[...]

CATALOG , Strings, Hyperbolic Functions 15-3 8315CATS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:54 PM Printed: 02/19/01 1:39 PM Page 3 of 10 A string is a sequence of characters that you enclose within quotation marks. On the TI - 83, a string has two primary applications. • It defines text to be displayed in a program. ?[...]

15-4 CATALOG , Strings, Hyperbolic Functions 8315CATS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:54 PM Printed: 02/19/01 1:39 PM Page 4 of 10 The TI - 83 has 10 variables to which you can store strings. You can use string variables with string functions and instructions. To display the VARS STRING menu, follow these steps. 1[...]

CATALOG , Strings, Hyperbolic Functions 15-5 8315CATS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:54 PM Printed: 02/19/01 1:39 PM Page 5 of 10 To store a string to a string variable, follow these steps. 1. Press ƒ [ ã ], enter the string, and press ƒ [ ã ]. 2. Press ¿ . 3. Press  7 to display the VARS STRING menu. 4. [...]

15-6 CATALOG , Strings, Hyperbolic Functions 8315CATS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:54 PM Printed: 02/19/01 1:39 PM Page 6 of 10 String functions and instructions are available only from the CATALOG . The table below lists the string functions and instructions in the order in which they appear among the other CA[...]

CATALOG , Strings, Hyperbolic Functions 15-7 8315CATS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:54 PM Printed: 02/19/01 1:39 PM Page 7 of 10 Equ 4 String( converts to a string an equation that is stored to any VARS Y . VARS variable. Y n contains the equation. Str n (from Str1 to Str9 , or Str0 ) is the string variable to w[...]

15-8 CATALOG , Strings, Hyperbolic Functions 8315CATS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:54 PM Printed: 02/19/01 1:39 PM Page 8 of 10 length( returns the number of characters in string . string can be a string or string variable. Note: An instruction or function name, such as sin( or cos( , counts as one character. l[...]

CATALOG , Strings, Hyperbolic Functions 15-9 8315CATS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:54 PM Printed: 02/19/01 1:39 PM Page 9 of 10 sub( returns a string that is a subset of an existing string . string can be a string or a string variable. begin is the position number of the first character of the subset. length is[...]

15-10 CATALOG , Strings, Hyperbolic Functions 8315CATS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 12:54 PM Printed: 02/19/01 1:39 PM Page 10 of 10 The hyperbolic functions are available only from the CATALOG . The table below lists the hyperbolic functions in the order in which they appear among the other CATALOG menu items. Th[...]

Programming 16-1 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 1 of 22 16 Pro g rammin g Getting Started: Volume of a Cylinder .................... 16-2 Creating and Deleting Programs ......................... 16-4 Entering Command Lines and Executing Programs ...... 16-5 Editing Pro[...]

16-2 Programming 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 2 of 22 Getting Started is a fast-paced introduction. Read the chapter for details. A program is a set of commands that the TI - 83 executes sequentially, as if you had entered them from the keyboard. Create a program tha[...]

Programming 16-3 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 3 of 22 5. Press  ~ 3 to select 3:Disp from the PRGM I/O menu. Disp is pasted to the command line. Press y [ A . LOCK ] ã ã ä [ V ] [ O ] [ L ] [ U ] [ M ] [ E ][ ' ] [ I ] [ S ] ã ã ä ƒ ¢ ƒ [ V ] Í to s[...]

16-4 Programming 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 4 of 22 A program is a set of one or more command lines. Each line contains one or more instructions. When you execute a program, the TI - 83 performs each instruction on each command line in the same order in which you e[...]

Programming 16-5 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 5 of 22 You can enter on a co mmand line any in struction or expression that you c ould execute from the home sc reen. In the program editor, each new command lin e begins with a colon. To enter more than one instruc tion[...]

16-6 Programming 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 6 of 22 To edit a stored program, follow these steps. 1. Press  ~ to display the PRGM EDIT menu. 2. Select a program name from the PRGM EDIT menu (page 16 . 7). Up to the first seven lines of the program are displayed.[...]

Programming 16-7 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 7 of 22 To copy all command lines from one program into a new program, follow steps 1 through 5 for Creating a New Program (page 16 . 4), and then follow these steps. 1. Press y [ RCL ]. Rcl is displayed on the bottom lin[...]

16-8 Programming 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 8 of 22 To display the PRGM CTL (program control) menu, press  from the program editor only. CTL I/O EXEC 1: If Creates a conditional test. 2: Then Executes commands when If is true. 3: Else Executes commands when If i[...]

Programming 16-9 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 9 of 22 Use If for testing and branching. If condition is false (zero), then the command immediately following If is skipped. If condition is true (nonzero), then the next command is executed. If instructions can be neste[...]

16-10 Programming 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 10 of 22 Else following If . Then executes a group of commands if condition is false (zero). End identifies the end of the group of commands . :If condition :Then : command (if true) : command (if true) :Else : command ([...]

Programming 16-11 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 11 of 22 While performs a group of commands while condition is true. condition is frequently a relational test (Chapter 2). condition is tested when While is encountered. If condition is true (nonzero), the program execu[...]

16-12 Programming 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 12 of 22 End identifies the end of a group of commands . You must include an End instruction at the end of each For( , While , or Repeat loop. Also, you must paste an End instruction at the end of each If . Then group an[...]

Programming 16-13 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 13 of 22 Lbl (label) and Goto (go to) are used together for branching. Lbl specifies the label for a command. label can be one or two characters ( A through Z , 0 through 99 , or q ). Lbl label Goto causes the program to[...]

16-14 Programming 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 14 of 22 DS<( (decrement and skip) subtracts 1 from variable . If the answer is < value (which can be an expression), the next command is skipped; if the answer is | value , the next command is executed. variable c[...]

Programming 16-15 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 15 of 22 Use prgm to execute other programs as subroutines (page 16 . 22). When you select prgm , it is pasted to the cursor location. Enter characters to spell a program name . Using prgm is equivalent to selecting exis[...]

16-16 Programming 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 16 of 22 To display the PRGM I/O (program input/output) menu, press  ~ from within the program editor only. CTL I/O EXEC 1: Input Enters a value or uses the cursor. 2: Prompt Prompts for entry of variable values. 3: D[...]

Programming 16-17 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 17 of 22 Input with variable displays a ? (question mark) prompt during execution. variable may be a real number, complex number, list, matrix, string, or Y= function. During program execution, enter a value, which can b[...]

16-18 Programming 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 18 of 22 During program execution, Prompt displays each variable , one at a time, followed by =? . At each prompt, enter a value or expression for each variable , and then press Í . The values are stored, and the progra[...]

Programming 16-19 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 19 of 22 DispGraph (display graph) displays the current graph. If Pause is encountered after DispGraph , the program halts temporarily so you can examine the screen. Press Í to resume execution. DispTable (display table[...]

16-20 Programming 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 20 of 22 getKey returns a number corresponding to the last key pressed, according to the key code diagram below. If no key has been pressed, getKey returns 0. Use getKey inside loops to transfer control, for example, whe[...]

Programming 16-21 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 21 of 22 GetCalc( gets the contents of variable on another TI - 83 and stores it to variable on the receiving TI - 83. variable can be a real or complex number, list element, list name, matrix element, matrix name, strin[...]

16-22 Programming 8316PROG.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:23 PM Printed: 02/19/01 1:39 PM Page 22 of 22 On the TI - 83, any stored program can be called from another program as a subroutine. Enter the name of the program to use as a subroutine on a line by itself. You can enter a program name on a command line in [...]

Applications 17-1 8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM Page 1 of 20 17 Applications Comparing Test Results Using Box Plots ................ 17-2 Graphing Piecewise Functions ........................... 17-4 Graphing Inequalities .................................... 17-5 Solving a[...]

17-2 Applications 8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM Page 2 of 20 An experiment found a significant difference between boys and girls pertaining to their ability to identify objects held in their left hands, which are controlled by the right side of their brains, versus their r[...]

Applications 17-3 8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM Page 3 of 20 6. Press o . Turn off all functions. 7. Press p . Set Xscl=1 and Yscl=0 . Press q 9 to select 9:ZoomStat . This adjusts the viewing window and displays the box plots for the women’s results. 8. Press r . % Wome[...]

17-4 Applications 8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM Page 4 of 20 The fine for speeding on a road with a speed limit of 45 kilometers per hour (kph) is 50; plus 5 for each kph from 46 to 55 kph; plus 10 for each kph from 56 to 65 kph; plus 20 for each kph from 66 kph and above.[...]

Applications 17-5 8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM Page 5 of 20 Graph the inequality 0 . 4X 3 N 3X + 5 < 0 . 2X + 4. Use the TEST menu operations to explore the values of X where the inequality is true and where it is false. 1. Press z . Select Dot , Simul , and the defaul[...]

17-6 Applications 8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM Page 6 of 20 Using a graph, solve the equation X 3 N 2X = 2cos(X). Stated another way, solve the system of two equations and two unknowns: Y = X 3 N 2X and Y = 2cos(X). Use ZOOM factors to control the decimal places displayed[...]

Applications 17-7 8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM Page 7 of 20 This program creates a drawing of a famous fractal, the Sierpinski Triangle, and stores the drawing to a picture. To begin, press  ~ ~ 1 . Name the program SIERPINS , and then press Í . The program editor is [...]

17-8 Applications 8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM Page 8 of 20 Using Web format, you can identify points with attracting and repelling behavior in sequence graphing. 1. Press z . Select Seq and the default mode settings. Press y [ FORMAT ]. Select Web format and the default [...]

Applications 17-9 8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM Page 9 of 20 This program graphs the function A sin(BX) with random integer coefficients between 1 and 10. Try to guess the coefficients and graph your guess as C sin(DX). The program continues until your guess is correct. PR[...]

17-10 Applications 8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM Page 10 of 20 Using parametric graphing mode, graph the unit circle and the sine curve to show the relationship between them. Any function that can be plotted in Func mode can be plotted in Par mode by defining the X compone[...]

Applications 17-11 8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM Page 11 of 20 Find the area of the region bounded by f(x) = 300x / ( x 2 + 625) g(x) = 3cos( . 1x) x = 75 1. Press z . Select the default mode settings. 2. Press p . Set the viewing window. Xmin=0 Ymin= L 5 Xmax=100 Ymax=10 [...]

17-12 Applications 8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM Page 12 of 20 Using two pairs of parametric equations, determine when two objects in motion are closest to each other in the same plane. A ferris wheel has a diameter (d) of 20 meters and is rotating counterclockwise at a ra[...]

Applications 17-13 8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM Page 13 of 20 4. Press s to graph the equations. Watch closely as they are plotted. Notice that the ball and the ferris wheel passenger appear to be closest where the paths cross in the top-right quadrant of the ferris wheel[...]

17-14 Applications 8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM Page 14 of 20 Using the functions fnInt( and nDeriv( from the MATH menu to graph functions defined by integrals and derivatives demonstrates graphically that: F(x) = ‰ 1 x 1 à t dt = ln(x), x > 0 and that D x [ ‰ 1 x[...]

Applications 17-15 8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM Page 15 of 20 Explore the functions defined by y = ‰ M 2 x t 2 dt, ‰ 0 x t 2 dt, and ‰ 2 x t 2 dt 1. Press o . Turn off all functions and stat plots. Use a list to define these three functions simultaneously. Store the[...]

17-16 Applications 8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM Page 16 of 20 Use the equation solver to store a formula for the area of a regular N-sided polygon, and then solve for each variable, given the other variables. Explore the fact that the limiting case is the area of a circle[...]

Applications 17-17 8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM Page 17 of 20 Find the area given B=6 , and N=10 , 100 , 150 , 1000 , and 10000 . Compare your results with p 6 2 (the area of a circle with radius 6), which is approximately 113.097. 7. Enter B=6 . To find the area A , move[...]

17-18 Applications 8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM Page 18 of 20 You are a loan officer at a mortgage company, and you recently closed on a 30-year home mortgage at 8 percent interest with monthly payments of 800. The new home owners want to know how much will be applied to [...]

Applications 17-19 8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM Page 19 of 20 Now compare the graph of the amount of interest with the graph of the amount of principal for each payment. 4. Press z . Set Par and Simul . 5. Press o . Turn off all functions and stat plots. Enter these equat[...]

17-20 Applications 8317APPS.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:00 PM Printed: 02/19/01 1:39 PM Page 20 of 20 8. Press † to move the cursor onto the function for interest defined by X 2T and Y 2T . Enter 240 . The graph shows that for the 240th payment ( X=240 ), 441.97 of the 800 payment is interest ( Y=441.97 ). 9.[...]

Memory Management 18-1 8318MEMR.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:01 PM Printed: 02/19/01 1:40 PM Page 1 of 6 18 Memor y Mana g ement Checking Available Memory ............................. 18-2 Deleting Items from Memory ............................ 18-3 Clearing Entries and List Elements ...................... 18-4[...]

18-2 Memory Management 8318MEMR.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:01 PM Printed: 02/19/01 1:40 PM Page 2 of 6 To display the MEMORY menu, press y [ MEM ]. MEMORY 1: Check RAM ... Reports memory availability/usage. 2: Delete ... Displays DELETE FROM menu. 3: Clear Entries Clears ENTRY (last-entry storage). 4: ClrAllLi[...]

Memory Management 18-3 8318MEMR.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:01 PM Printed: 02/19/01 1:40 PM Page 3 of 6 To increase available memory by deleting the contents of any variable (real or complex number, list, matrix, Y= variable, program, picture, graph database, or string), follow these steps. 1. Press y [ MEM ] t[...]

18-4 Memory Management 8318MEMR.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:01 PM Printed: 02/19/01 1:40 PM Page 4 of 6 Clear Entries clears the contents of the ENTRY (last entry) storage area (Chapter 1). To clear the ENTRY storage area, follow these steps. 1. Press y [ MEM ] to display the MEMORY menu. 2. Select 3:Clear Entr[...]

Memory Management 18-5 8318MEMR.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:01 PM Printed: 02/19/01 1:40 PM Page 5 of 6 The RESET secondary menu gives you the option of resetting all memory (including default settings) or resetting the default settings while preserving other data stored in memory, such as programs and Y= funct[...]

18-6 Memory Management 8318MEMR.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:01 PM Printed: 02/19/01 1:40 PM Page 6 of 6 When you reset defaults on the TI - 83, all defaults are restored to the factory settings. Stored data and programs are not changed. These are some examples of TI - 83 defaults that are restored by resetting [...]

Communication Link 19-1 8319LINK.DOC TI-83 Intl English, Chap 19 Bob Fedorisko Revised: 02/19/01 1:24 PM Printed: 02/19/01 1:40 PM Page 1 of 10 19 Communication Link Getting Started: Sending Variables ....................... 19-2 TI - 83 LINK ............................................... 19-3 Selecting Items to Send ..............................[...]

19-2 Communication Link 8319LINK.DOC TI-83 Intl English, Chap 19 Bob Fedorisko Revised: 02/19/01 1:24 PM Printed: 02/19/01 1:40 PM Page 2 of 10 Getting Started is a fast-paced introduction. Read the chapter for details. Create and store a variable and a matrix, and then transfer them to another TI - 83. 1. On the home screen of the sending unit, pr[...]

Communication Link 19-3 8319LINK.DOC TI-83 Intl English, Chap 19 Bob Fedorisko Revised: 02/19/01 1:24 PM Printed: 02/19/01 1:40 PM Page 3 of 10 The TI - 83 has a port to connect and communicate with another TI - 83, a TI - 82, th e Calculator-Based Laboratory é (CBL 2 é , CBL é ) System, the Calculator-Based Ranger é (CBR é ), or a personal co[...]

19-4 Communication Link 8319LINK.DOC TI-83 Intl English, Chap 19 Bob Fedorisko Revised: 02/19/01 1:24 PM Printed: 02/19/01 1:40 PM Page 4 of 10 To display the LINK SEND menu, press y [ LINK ]. SEND RECEIVE 1: All+ ... Displays all items selected. 2: All N ... Displays all items deselected. 3: Prgm ... Displays all programs names. 4: List ... Displa[...]

Communication Link 19-5 8319LINK.DOC TI-83 Intl English, Chap 19 Bob Fedorisko Revised: 02/19/01 1:24 PM Printed: 02/19/01 1:40 PM Page 5 of 10 To display the LINK RECEIVE menu, press y [ LINK ] ~ . SEND RECEIVE 1: Receive Sets unit to receive data transmission. When you select 1:Receive from the LINK RECEIVE menu on the receiving unit, the message[...]

19-6 Communication Link 8319LINK.DOC TI-83 Intl English, Chap 19 Bob Fedorisko Revised: 02/19/01 1:24 PM Printed: 02/19/01 1:40 PM Page 6 of 10 To transmit selected items after you have selected items to send on the sending unit (page 19 . 4) and set the receiving unit to receive (page 19 . 5), follow these steps. 1. Press ~ on the sending unit to [...]

Communication Link 19-7 8319LINK.DOC TI-83 Intl English, Chap 19 Bob Fedorisko Revised: 02/19/01 1:24 PM Printed: 02/19/01 1:40 PM Page 7 of 10 After sending or receiving data, you can repeat the same transmission to additional TI - 83 units—from either the sending unit or the receiving unit—without having to reselect data to send. The current [...]

19-8 Communication Link 8319LINK.DOC TI-83 Intl English, Chap 19 Bob Fedorisko Revised: 02/19/01 1:24 PM Printed: 02/19/01 1:40 PM Page 8 of 10 The only data type you can transmit from a TI - 83 to a TI - 82 is list data stored in L 1 through L 6 . To transmit to a TI - 82 the list data that is stored to TI - 83 lists L 1 , L 2 , L 3 , L 4 , L 5 , [...]

Communication Link 19-9 8319LINK.DOC TI-83 Intl English, Chap 19 Bob Fedorisko Revised: 02/19/01 1:24 PM Printed: 02/19/01 1:40 PM Page 9 of 10 Generally, you can transmit items to a TI - 83 from a TI - 82, but differences between the two products may affect some transmitted data. This table shows differences for which the software built into the T[...]

19-10 Communication Link 8319LINK.DOC TI-83 Intl English, Chap 19 Bob Fedorisko Revised: 02/19/01 1:24 PM Printed: 02/19/01 1:40 PM Page 10 of 10 To copy the exact contents of memory in the sending TI - 83 to the memory of the receiving TI - 83, put the other unit in receive mode. Then, on the receiving unit, select C:Back Up from the LINK SEND men[...]

Tables and Reference Information A-1 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 1 of 58 A Tables and Reference Information Table of Functions and Instructions ..................... A-2 TI . 83 Menu Map ......................................... A-39 Variables ......................[...]

A-2 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 2 of 58 Functions return a value , list, or matrix. You can use functions in a n expression. Instructions initiate an action . Some functions an d instructions have argum e nts. Optional arguments an d[...]

Tables and Reference Information A-3 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 3 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item augment( matrixA , matrixB ) Returns a matrix, which is matrixB appended to matrixA as new columns.  MATH 7:augment[...]

A-4 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 4 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item c 2 pdf( x , df ) Computes the probability density function (pdf) for the c 2 distribution at a specified x v alue for[...]

Tables and Reference Information A-5 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 5 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item CoordOff Turns off cursor coordinate v alue display. † y [ FORMAT ] CoordOff 3 - 14 CoordOn Turns on cursor coordina[...]

A-6 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 6 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item Degree Sets degree angle mode. † z Degree 1 - 11 DelVar variable Deletes from memory the contents of variable . † [...]

Tables and Reference Information A-7 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 7 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item DispGraph Displays the graph. †  I/O 4:DispGraph 16 - 19 DispTable Displays the table. †  I/O 5:DispTable 16[...]

A-8 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 8 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item End Identifies end of For( , If - Then - Else , Repeat , or While loop. †  CTL 7:End 16 - 12 Eng Sets engineering[...]

Tables and Reference Information A-9 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 9 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item fMax( expression , variable , lower , upper [ , tolerance ] ) Returns the value of variable where the local maximum of[...]

A-10 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 10 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item value 4 Frac Displays a real or complex number, expression, list, or matrix as a fraction simplified to its simplest[...]

Tables and Reference Information A-11 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 11 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item GraphStyle( function# , graphstyle# ) Sets a graphstyle for f unction# . †  CTL H:GraphStyle( 16 - 15 GridOff T[...]

A-12 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 12 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item IndpntAsk Sets table to ask for independent-variable values. † y [ TBLSET ] Indpnt: Ask 7 - 3 IndpntAuto Sets tabl[...]

Tables and Reference Information A-13 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 13 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item irr( CF0 , CFList [ , CFFreq ] ) Returns the interest rate at which the net present value of the cash flows is equal[...]

A-14 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 14 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item LinReg(a+bx) [ Xlistname , Ylistname , freqlist , regequ ] Fits a linear regression model to Xlistname and Ylistname[...]

Tables and Reference Information A-15 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 15 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item Logistic [ Xlistname , Ylistname , freqlist , regequ ] Fits a logistic regression model to Xlistname and Ylistname w[...]

A-16 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 16 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item min( valueA , valueB ) Returns smaller of valueA and valueB .  NUM 6:min( 2 - 15 min( list ) Returns smallest rea[...]

Tables and Reference Information A-17 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 17 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item normalcdf( lowerbound , upperbound [ , m , s ] ) Computes the normal distribution probability between lowerbound and[...]

A-18 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 18 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item Output( row , column ," text ") Displays text beginning at specified row and column . †  I/O 6:Output[...]

Tables and Reference Information A-19 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 19 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item Pmt_Bgn Specifies an annuity due, where payments occur at the beginning of each payment period. y [ FINANCE ] CALC F[...]

A-20 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 20 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item 1 . PropZInt( x , n [ , confidence level ] ) Computes a one-proportion z confidence interval. † … TESTS A:1 . Pr[...]

Tables and Reference Information A-21 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 21 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item Pxl . Change( row , column ) Reverses pixel at ( row , column ); 0  row  62 and 0  column  94. y [ DRAW [...]

A-22 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 22 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item randInt( lower,upper [ ,numtrials ] ) Generates and displays a random integer within a range specified by lower and [...]

Tables and Reference Information A-23 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 23 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item :Repeat condition : commands :End : commands Executes commands until condition is true. †  CTL 6:Repeat 16 - 11[...]

A-24 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 24 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item 2 . Samp Ü Test [ listname1 , listname2 , freqlist1 , freqlist2 , alternative , drawflag ] (Data list input) Perfor[...]

Tables and Reference Information A-25 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 25 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item 2 . SampTTest v 1 , Sx1 , n1 , v 2 , Sx2 , n2 [ , alternative , pooled , drawflag ] (Summary stats input) Computes a[...]

A-26 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 26 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item Send( variable ) Sends contents of variable to the CBL 2/CBL System or CBR. †  I/O B:Send( 16 - 21 seq( express[...]

Tables and Reference Information A-27 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 27 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item Shade Ü ( lowerbound , upperbound , numerator df , denominator df ) Draws the density function for the Û distribut[...]

A-28 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 28 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item SinReg [ iterations , Xlistname , Ylistname , period , regequ ] Attempts iterations times to fit a sinusoidal regres[...]

Tables and Reference Information A-29 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 29 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item StorePic n Stores current picture in picture Pic n . y [ DRAW ] STO 1:StorePic 8 - 17 String 4 Equ( string , Y= var [...]

A-30 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 30 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item Time Sets sequence graphs to plot with respect to time. † y [ FORMAT ] Time 6 - 8 TInterval [ listname , freqlist [...]

Tables and Reference Information A-31 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 31 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item tvm_FV [ ( Ú , æ , PV , PMT , P/Y , C/Y ) ] Computes the future value. y [ FINANCE ] CALC 6:tvm_FV 14 - 7 tvm_ æ [...]

A-32 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 32 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item :While condition : commands :End : command Executes commands while condition is true. †  CTL 5:While 16 - 11 va[...]

Tables and Reference Information A-33 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 33 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item ZoomFit Recalculates Ymin and Ymax to include the minimum and maximum Y values, between Xmin and Xmax , of the selec[...]

A-34 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 34 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item Z N Test( m 0 , s [ , listname , freqlist , alternative , drawflag ] ) (Data list input) Performs a z test with freq[...]

Tables and Reference Information A-35 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 35 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item x th root x ‡ value Returns x th root of value .  MATH 5: x ‡ 2 - 6 x th root x ‡ list Returns x th root of[...]

A-36 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 36 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item Greater than: valueA > valueB Returns 1 if valueA > valueB . Returns 0 if valueA  valueB . valueA and value[...]

Tables and Reference Information A-37 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 37 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item Powers: matrix ^ power Returns matrix elements raised to power . › 10 - 10 Negation: L value Returns the negative [...]

A-38 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 38 of 58 Function or Instruction/ Arguments Result Key or Keys/ Menu or Screen/Item A ddition: valueA + valueB Returns valueA plus valueB . Ã 2 - 3 A ddition: list + value Returns list in which value[...]

Tables and Reference Information A-39 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 39 of 58 The TI . 83 Menu Map begins at the top-left corner of the keyboard and follows the keyboard layout from left to right. Default values and settings are shown. o Ú Á ÄÄÄÄÄÄÄÄÄÄÄÄ?[...]

A-40 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 40 of 58 q Ú Á ÄÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ZOOM 1:ZBox 2:Zoom In 3:Zoom Out 4:ZDecimal 5:ZSquare 6:ZStandard 7:ZTrig 8:ZInteger 9:ZoomStat 0:ZoomFit MEMORY 1:ZPrevious 2[...]

Tables and Reference Information A-41 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 41 of 58 y [ LINK ] ÚÄ Á ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ SEND 1:All+… 2:All N … 3:Prgm… 4:List… 5:Lists to TI82… 6:GDB… 7:Pic… 8:Matrix… 9:Real… 0:Complex… A:Y-Vars… B:St[...]

A-42 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 42 of 58 y [ LIST ] ÚÄÄ Á ÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄ¿ NAMES 1:listname 2:listname 3:listname ... OPS 1:SortA( 2:SortD( 3:dim( 4:Fill( 5:seq( 6:cumSum( 7: @ List( 8:Select( 9:augme[...]

Tables and Reference Information A-43 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 43 of 58  Ú Á ÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄ¿ y [ ANGLE ] ÚÄÄÄ Ù NAMES 1:[A] 2:[B] 3:[C] 4:[D] 5:[E] 6:[F] 7:[G] 8:[H] 9:[I] 0:[J] MATH 1:det( 2: T 3:dim( 4:Fill( 5:identi[...]

A-44 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 44 of 58 y [ DRAW ] ÚÄÄÄÄ Á ÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ DRAW 1:ClrDraw 2:Line( 3:Horizontal 4:Vertical 5:Tangent( 6:DrawF 7:Shade( 8:DrawInv 9:Circle( 0:Text( A:Pen POINTS 1[...]

Tables and Reference Information A-45 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 45 of 58 VARS ÄÄÂÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄ (Zoom…) ZX/ZY 1:ZXmin 2:ZXmax 3:ZXscl 4:ZYmin 5:ZYmax 6:ZYscl 7:ZXres (Zoom…) ZT/Z q 1:ZTmin 2:ZTmax 3:ZTstep 4:Z[...]

A-46 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 46 of 58 VARS ÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ (Table…) TABLE 1:TblStart 2: @ Tbl 3:TblInput (String…) STRING 1:Str1 2:Str2 3:Str3 4:Str4 ... 9:Str9 0:Str0 Y-VARS ÚÄ Á ÄÄÄÄÄÄÄÄÄ?[...]

Tables and Reference Information A-47 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 47 of 58 y [ DISTR ] ÚÄÄ Á ÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ DISTR 1:normalpdf( 2:normalcdf( 3:invNorm( 4:tpdf( 5:tcdf( 6: c 2 pdf( 7: c 2 cdf( 8: Û pdf( 9: Û cdf( 0:binompdf( A:binomcdf( B:poissonpd[...]

A-48 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 48 of 58 y [ MEM ] ÚÄÄ Ù MEMORY ÚÄÄ Á ÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄ¿ MEMORY 1:Check RAM… 2:Delete… 3:Clear Entries 4:ClrAllLists 5:Reset… (Check RAM…) MEM F[...]

Tables and Reference Information A-49 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 49 of 58 The TI . 83 uses the variables listed below in various ways. Some variables are restricted to specific data types. The variables A through Z and q are defined as real or complex numbers. You [...]

A-50 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 50 of 58 This section contains statistics formulas for the Logistic and SinReg regressions, ANOVA , 2 . Samp Ü Test , and 2 . SampTTest . The logistic regression algorithm applies nonlinear recursive[...]

Tables and Reference Information A-51 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 51 of 58 The ANOVA Û statistic is: Û = Factor MS Error MS The mean squares ( MS ) that make up Û are: Factor MS Factor SS Factor df = Error MS Error SS Error df = The sum of squares ( SS ) that mak[...]

A-52 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 52 of 58 Below is the definition for the 2 . Samp Ü Test . Sx 1, Sx 2 = Sample standard deviations having n 1 - 1 and n 2 - 1 degrees of freedom df , respectively. Û = Û -statistic = Sx Sx 1 2 2 ?[...]

Tables and Reference Information A-53 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 53 of 58 The following is the definition for the 2 . SampTTest . The two-sample t statistic with degrees of freedom df is: t xx S = − 12 where the computation of S and df are dependent on whether th[...]

A-54 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 54 of 58 This section contains financial formulas for computing time value of money, amortization, cash flow, interest-rate conversions, and days between dates. [] ie yx =− ×+ (( ) ) ln 1 1 where: [...]

Tables and Reference Information A-55 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 55 of 58 PMT i G PV PV FV i i N =× + + +−       − () 11 where: i ƒ 0 PMT PV FV N =+ ÷ − () where: i= 0 PV PMT G i FV i PMT G i i N i = × −       × + ?[...]

A-56 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 56 of 58 If computing bal ( ), pmt 2 = npmt Let bal (0) = RND ( PV ) Iterate from m = 1 to pmt 2 I I m m =× − =− − +    − RND RND i bal m bal m bal m RND PMT [( ( ) ) ] () ( ) ( ) 12[...]

Tables and Reference Information A-57 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 57 of 58 npv CF CF i i i j S n j N j j () ( ) (( ) ) =+ + −+ − − − = ∑ 0 1 1 11 1 where: S nj j j i i j = ≥ =      = ∑ 1 1 00 Net present value is dependent on the values [...]

A-58 Tables and Reference Information 8399APXA.DOC TI-83 international English Bob Fedorisko Revised: 02/19/01 1:25 PM Printed: 02/19/01 1:40 PM Page 58 of 58 With the dbd( function, you can enter or compute a date within the range Jan. 1, 1950, through Dec. 31, 2049. Actual/actual day-count method (assumes actual number of days per month and actua[...]

General Information B-1 8399APXB.DOC TI-83 Intl English, Appendix B Bob Fedorisko Revised: 02/19/01 1:12 PM Printed: 02/19/01 1:41 PM Page 1 of 14 B General Information Battery Information ...................................... B-2 In Case of Difficulty ..................................... B-4 Error Conditions .....................................[...]

B-2 General Information 8399APXB.DOC TI-83 Intl English, Appendix B Bob Fedorisko Revised: 02/19/01 1:12 PM Printed: 02/19/01 1:41 PM Page 2 of 14 The TI . 8 3 uses five batteries: four AAA alkaline batteries and one lithium battery. The lithium battery provides auxiliary power to retain memory while you replace the AAA batteries. When the battery [...]

General Information B-3 8399APXB.DOC TI-83 Intl English, Appendix B Bob Fedorisko Revised: 02/19/01 1:12 PM Printed: 02/19/01 1:41 PM Page 3 of 14 To replace the batteries, follow these steps. 1. Turn off the calculator. Replace the slide cover over the keyboard to avoid inadvertently turning on the calculator. Turn the back of the calculator towar[...]

B-4 General Information 8399APXB.DOC TI-83 Intl English, Appendix B Bob Fedorisko Revised: 02/19/01 1:12 PM Printed: 02/19/01 1:41 PM Page 4 of 14 To handle a difficulty, follow these steps. 1. If you cannot see anything on the screen, the contrast may need to be adjusted. To darken the screen, press and release y , and then press and hold } until [...]

General Information B-5 8399APXB.DOC TI-83 Intl English, Appendix B Bob Fedorisko Revised: 02/19/01 1:12 PM Printed: 02/19/01 1:41 PM Page 5 of 14 When the TI . 8 3 detects an error, it displays ERR: message and an error menu. Chapter 1 describes the general steps for correcting errors. This table contains each error type, possible causes, and sugg[...]

B-6 General Information 8399APXB.DOC TI-83 Intl English, Appendix B Bob Fedorisko Revised: 02/19/01 1:12 PM Printed: 02/19/01 1:41 PM Page 6 of 14 Error Type Possible Causes and Suggested Remedies DOMAIN ¦ You specified an ar g ument to a function or instruction outside the valid ran g e. This error is not returned durin g g raphin g . The TI . 83[...]

General Information B-7 8399APXB.DOC TI-83 Intl English, Appendix B Bob Fedorisko Revised: 02/19/01 1:12 PM Printed: 02/19/01 1:41 PM Page 7 of 14 Error Type Possible Causes and Suggested Remedies INVALID (cont.) ¦ In Seq mode, you attempted to g raph a recursive sequence without havin g input the correct number of initial conditions. ¦ In Seq mo[...]

B-8 General Information 8399APXB.DOC TI-83 Intl English, Appendix B Bob Fedorisko Revised: 02/19/01 1:12 PM Printed: 02/19/01 1:41 PM Page 8 of 14 Error Type Possible Causes and Suggested Remedies MemoryFull ¦ You are unable to transmit an item because the receivin g unit’s available memory is insufficient. You may skip the item or exit receive [...]

General Information B-9 8399APXB.DOC TI-83 Intl English, Appendix B Bob Fedorisko Revised: 02/19/01 1:12 PM Printed: 02/19/01 1:41 PM Page 9 of 14 Error Type Possible Causes and Suggested Remedies SINGULARITY expression in the solve( function or the equation solver contains a sin g ularity ( a point at which the function is not defined ) . Examine [...]

B-10 General Information 8399APXB.DOC TI-83 Intl English, Appendix B Bob Fedorisko Revised: 02/19/01 1:12 PM Printed: 02/19/01 1:41 PM Page 10 of 14 To maximize accuracy, the TI . 8 3 carries more digits internally than it displays. Values are stored in memory using up to 14 digits with a two-digit exponent. • You can store a value in the window [...]

General Information B-11 8399APXB.DOC TI-83 Intl English, Appendix B Bob Fedorisko Revised: 02/19/01 1:12 PM Printed: 02/19/01 1:41 PM Page 11 of 14 Cursor coordinates are displayed as eight-character numbers (which may include a negative sign, decimal point, and exponent) when Float mode is selected. X and Y are updated with a maximum accuracy of [...]

B-12 General Information 8399APXB.DOC TI-83 Intl English, Appendix B Bob Fedorisko Revised: 02/19/01 1:12 PM Printed: 02/19/01 1:41 PM Page 12 of 14 Product Support Customers in the U.S., Canada, Puerto Rico, and the Virgin Islands For general questions, contact Texas Instruments Customer Support: phone: 1 . 800 . TI . CARES (1 . 800 . 842 . 2737) [...]

General Information B-13 8299APPB.DOC TI-82, Appendix B, English Bob Fedorisko Revised: 02/27/01 12:20 PM Printed: 02/27/01 12:25 PM Page 12 of 13 Warranty Information Customers in the U.S. and Canada Only One-Year Limited Warranty for Electronic Product This Texas Instruments (“TI”) electronic product warranty extends only to the original purc[...]

B-14 General Information 8299APPB.DOC TI-82, Appendix B, English Bob Fedorisko Revised: 02/27/01 12:20 PM Printed: 02/27/01 12:25 PM Page 13 of 13 Australia & New Zealand Customers only One-Year Limited Warranty for Commercial Electronic Product This Texas Instruments electronic product warranty extends only to the original purchaser and user o[...]

Index-1 Index 8399INDX.DOC TI-83 international English Bob Fedorisko Revised: 02/20/01 10:54 AM Printed: 02/21/01 8:40 AM Page 1 of 16 + (addition), 2-3 , A-38 c 2 cdf( (chi-square cdf), 13-31 , A-3 c 2 pdf( (chi-square pdf), 13-31 , A-4 c 2 . Test (chi-square test), 13-22 , A-4 : (colon), 6, 16-5 + (concatenation), 15-6 , A-38 3 (cube), 2-6, A-35 [...]

Index-2 8399INDX.DOC TI-83 international English Bob Fedorisko Revised: 02/20/01 10:54 AM Printed: 02/21/01 8:40 AM Page 2 of 16 . B . backing up calculator memory, 19-4, 19-10 bal( (amortization balance), 14-9 , A-3 batteries, 1-2 , B-2 below graph style ( ê ), 3-9 binomcdf( , 13-33 , A-3 binompdf( , 13-33 , A-3 Boolean logic, 2-26 box pixel mark[...]

Index-3 8399INDX.DOC TI-83 international English Bob Fedorisko Revised: 02/20/01 10:54 AM Printed: 02/21/01 8:40 AM Page 3 of 16 . D (continued) . cosh M 1 ( (hyperbolic arccosine), 15-10, A-5 cosine ( cos( ), 2-3, A-5 cross pixel mark ( + ), 8-15, 12-34 cube ( 3 ), 2-6, A-35 cube root ( 3 ‡ ( ), 2-6, A-35 CubicReg (cubic regression), 12-26, A-5 [...]

Index-4 8399INDX.DOC TI-83 international English Bob Fedorisko Revised: 02/20/01 10:54 AM Printed: 02/21/01 8:40 AM Page 4 of 16 . D (continued) . drawing on a graph circles ( Circle( ), 8-11 functions and inverses ( DrawF , DrawInv ), 8-9 lines ( Horizontal , Line( , Vertical ), 8-6, 8-7 line segments ( Line( ), 8-5 pixels ( Pxl . Change , Pxl . O[...]

Index-5 8399INDX.DOC TI-83 international English Bob Fedorisko Revised: 02/20/01 10:54 AM Printed: 02/21/01 8:40 AM Page 5 of 16 . E (continued) . examples—Getting Started (continued) quadratic formula converting to a fraction, 7 displaying complex results, 8 entering a calculation, 6 roots of a, 7-2 sending variables, 19-2 solving a system of li[...]

Index-6 8399INDX.DOC TI-83 international English Bob Fedorisko Revised: 02/20/01 10:54 AM Printed: 02/21/01 8:40 AM Page 6 of 16 . F (continued) . Function graphing (continued) free-moving cursor, 3-17 graph styles, 3-9 maximum of ( fMax( ), 2- 6, A- 9 minimum of ( fMin( ), 2- 6, A- 9 modes, 1-11 , 3-4 , A-10 moving the cursor to a value, 3-19 over[...]

Index-7 8399INDX.DOC TI-83 international English Bob Fedorisko Revised: 02/20/01 10:54 AM Printed: 02/21/01 8:40 AM Page 7 of 16 . I (continued) . inferential statistics. See also stat tests; confidence intervals alternative hypotheses, 13-7 bypassing editors, 13-8 calculating test results ( Calculate ), 13-8 confidence interval calculations, 13-8,[...]

Index-8 8399INDX.DOC TI-83 international English Bob Fedorisko Revised: 02/20/01 10:54 AM Printed: 02/21/01 8:40 AM Page 8 of 16 . L (continued) . lists, 11-1 to 11-18 accessing an element, 11-5 attaching formulas, 11-7, 12-14 clearing all elements, 12-12, 12-20 copying, 11-5 creating, 11-3, 12-12 deleting from memory, 11-5, 18-3 detaching formulas[...]

Index-9 8399INDX.DOC TI-83 international English Bob Fedorisko Revised: 02/20/01 10:54 AM Printed: 02/21/01 8:40 AM Page 9 of 16 . M (continued) . modified box plot type ( Õ ), 12-32 mode settings, 1-9 a+b i (complex rectangular), 1-12, 2-16 , A-3 r e ^ q i (complex polar), 1-12, 2-16, A-22 Connected (plotting), 1-11, A-4 Degree (angle), 1-11 , 2-[...]

Index-10 8399INDX.DOC TI-83 international English Bob Fedorisko Revised: 02/20/01 10:54 AM Printed: 02/21/01 8:40 AM Page 10 of 16 . P (continued) . Pause , 16-12, A-18 pausing a graph, 3-15 Pen , 8-13 permutations ( nPr ), 2-21, A-17 phase plots, 6-13 Pi ( p ), 2-4 Pic (pictures), 8-17, 8-18 pictures ( Pic ), 8-17, 8-18 pixel, 8-16 pixels in Horiz[...]

Index-11 8399INDX.DOC TI-83 international English Bob Fedorisko Revised: 02/20/01 10:54 AM Printed: 02/21/01 8:40 AM Page 11 of 16 . P (continued) . PV (present value variable), 14-4, 14-14 p-value, 13-28 PwrReg (power regression), 12-27, A-20 Pxl . Change( , 8-16, A-21 Pxl . Off( , 8-16, A-21 Pxl . On( , 8-16, A-21 pxl . Test( , 8-16, A-21 P/Y (nu[...]

Index-12 8399INDX.DOC TI-83 international English Bob Fedorisko Revised: 02/20/01 10:54 AM Printed: 02/21/01 8:40 AM Page 12 of 16 . S (continued) . seconds DMS notation ( " ), 2-23 Select( , 11-12, A-25 selecting data points from a plot, 11-13 functions from the home screen or a program, 3-8 functions in the Y= editor, 3-7 items from menus, 4[...]

Index-13 8399INDX.DOC TI-83 international English Bob Fedorisko Revised: 02/20/01 10:54 AM Printed: 02/21/01 8:40 AM Page 13 of 16 . S (continued) . stat list editor (continued) editing elements of formula- generated lists, 12-16 editing list elements, 12-13 enter-names context, 12-19 entering list names, 12-11 formula-generated list names, 12-15 r[...]

Index-14 8399INDX.DOC TI-83 international English Bob Fedorisko Revised: 02/20/01 10:54 AM Printed: 02/21/01 8:40 AM Page 14 of 16 . T . TABLE SETUP screen, 7-3 tables, 7-1 to 7 -6 description, 7-5 variables, 7-3 to 7 -5 tan( (tangent), 2-3, A-29 tan M 1 ( (arctangent), 2-3, A-29 tangent ( tan( ), 2-3, A-29 Tangent( (draw line), 8-8, A-29 tangent l[...]

Index-15 8399INDX.DOC TI-83 international English Bob Fedorisko Revised: 02/20/01 10:54 AM Printed: 02/21/01 8:40 AM Page 15 of 16 . T (continued) . turning on and off axes, 3-14 calculator, 1-2 coordinates, 3-14 expressions, 3-14 functions, 3-7 grid, 3-14 labels, 3-14 pixels, 8-16 points, 8-14 stat plots, 3-7, 12-35 tvm_FV (future value), 14-7, A-[...]

Index-16 8399INDX.DOC TI-83 international English Bob Fedorisko Revised: 02/20/01 10:54 AM Printed: 02/21/01 8:40 AM Page 16 of 16 . X . XFact zoom factor, 3-24 x-intercept of a root, 3-26 xor (Boolean) exclusive or operator, 2-26 , A-32 x th root ( x ‡ ), 2-6 xyLine ( Ó ) plot type, 12-31 @ X window variable, 3- 12 . Y . YFact zoom factor, 3-24[...]

TI83CALC.DOC TI 83 Inside Cover Bob Fedorisko Revised: 12/03/99 8:31 AM Printed: 03/12/01 1:49 PM Page 1 of 2[...]

TI83CALC.DOC TI 83 Inside Cover Bob Fedorisko Revised: 12/03/99 8:31 AM Printed: 03/12/01 1:49 PM Page 2 of 2[...]