Texas Instruments TI-89, TI-92 Guidebook

TI-89 TI-92 Plus

Guidebook

for Advanced Mathematics Software Version 2.0

Important

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 such materials available solely on an "as-is" basis.

In no event shall Texas Instruments be liable to anyone for special, collateral, incidental, or consequential damages in connection with or arising out of the purchase or use of these materials, and the sole and exclusive liability of Texas Instruments, regardless of the form of action, shall not exceed the purchase price of this calculator. Moreover, Texas Instruments shall not be liable for any claim of any kind whatsoever against the use of these materials by any other party.

US FCC Information Concerning Radio Frequency Interference

This equipment has been tested and found to comply with the limits for a Class B digital device, pursuant to Part 15 of the FCC rules. These limits are designed to provide reasonable protection against harmful interference in a residential installation. This equipment generates, uses, and can radiate radio frequency energy and, if not installed and used in accordance with the instructions, may cause harmful interference with radio communications. However, there is no guarantee that interference will not occur in a particular installation.

If this equipment does cause harmful interference to radio or television reception, which can be determined by turning the equipment off and on, you can try to correct the interference by one or more of the following measures:

¦ Reorient or relocate the receiving antenna. ¦ Increase the separation between the equipment and receiver. ¦ Connect the equipment into an outlet on a circuit different from

that to which the receiver is connected.

¦ Consult the dealer or an experienced radio/television technician

for help.

Caution:

expressly approved by Texas Instruments may void your authority to operate the equipment.

Any changes or modifications to this equipment not

TI-89 Shortcut Keys

General

¥O 2a

List of Flash applications Toggle between last two chosen

applications or split screens

¥|, ¥« ¥¸ ¥C, ¥D

Lighten or darken contrast Calculate approximate answer Move cursor to top or bottom

(in editors)

¤ C, ¤ D ¤ A, ¤ B 2C, 2D

Scroll tall objects in history Highlight left or right from cursor Page up or page down

(in editors)

2A, 2B

On-screen Keyboard Map (

Move cursor far left or far right

¥^

)

Press N to exit the map.

The keyboard map displays shortcuts that are not marked on the keyboard. As shown below, press ¥ and then the applicable key.

¥Á ¥c

Access Greek letters (see next column)

¥d ¥b

¥e ¥Í ¥

1 – ¥9

¥ p ¥^ ¥ § ¥´

(comment)

Copy graph coordinates to

sysdata

(factorial)

FORMATS

Display Run programs

kbdprgm9()

through

(append)

dialog box

kbdprgm1()

On-screen keyboard map

Turn off unit so that it returns to current application the next time you turn it on

¥µ ¥¶ ¥·

(zero)



‚

Copy graph coordinates to Home screen history

Alpha Rules

j ¤

2™

¤j j

Type one lowercase letter Type one uppercase letter Lowercase alpha lock Uppercase alpha lock Exit alpha lock

3D Graphing

, D, A,

«, |

X, Y, Z

µ Í p

Animate graph Change animation speed View along axis Return to original view Change graph format style Expanded/normal view

Greek Letters

¥c

To access the Greek character set

¥cj

+ letter To access lowercase Greek

letters. Example:

[W]

¥cj

¥c¤

+ letter To access uppercase Greek

displays

letters. Example:

¥c¤

[W]

displays

Ω

If you press a key combination that does not access a Greek letter, you get the normal letter for that key.

ψξ

ζτ

XYZT

ABCDE

FGH I J

KLMNO

Π π

PQRSU

Ω ω

∆

TI-92 Plus Shortcut Keys

General

¥ O

List of Flash applications

2a Toggle between last two chosen

applications or split screens

¥ ¥

F H

Copy graph coordinates to

sysdata

Display

FORMATS

dialog box

Copy graph coordinates to Home screen history

¥ ¥ |, ¥ « ¥ ¸ ¥ ´

Create new variable Open existing variable Save copy as Lighten or darken contrast Calculate approximate answer Turn off unit so that it returns

to current application the next time you turn it on

1 – ¥ 9

On-screen Keyboard Map (

Run programs through

kbdprgm9()

kbdprgm1()

¥ ”

)

Press N to exit the map.

See the table below for shortcuts that are not marked on the

TI-92 Plus

keyboard. See the next column for accent marks and Greek letters.

2 2 2 2 2 2 ¥ Á ¥ µ ¥ ¶

Q W R T H X

(zero)

? ! (factorial)

# (indirection)

(append)

¦ (comment)



‚

Editing

¥ C ¥ D

‚ C, ‚ D 2 C, 2 D

Move cursor to top Move cursor to bottom Move cursor to far left Move cursor to far right Scroll tall objects in history Page up and page down Cut Copy Paste

3D Graphing

C, D, A, B «, |

X, Y, Z

(zero)

Animate graph Change animation speed View along axis Return to original view Change graph format style Expanded/normal view

Accent Marks

2 2 2 2 2 2

A C E N O U

+ letter + letter + lette + letter

+ letter

à, è, ì, ò, ù, À, È, Ì, Ò, Ù ç, Ç

r á, é, í, ó, ú, ý, Á, É, Í, Ó, Ú, Ý

ã, ñ, õ, Ã, Ñ, Õ â, ê, î, ô, û, Â, Ê, Î, Ô, Û ä, ë, ï, ö, ü, ÿ, Ä, Ë, Ï, Ö, Ü

Greek Letters

To access the Greek character set

G + letter

G ¤ + letter

To access lowercase Greek letters. Example: displays

To access uppercase Greek letters. Example: displays

Ω

G ¤ W

If you press a key combination that does not access a Greek letter, you get the normal letter for that key.

Ω

Q W E R T Y U I O P

∆

A S D F G H J K L

∆

A S D F G H J K L

φγ

ξζ

Z X C V B N M

Chapter 1: Getting Started

Chapter 2: Operating the Calculator

This guidebook describes how to use the TI table of contents can help you locate "getting started" information as well as detailed information about the

TI-89 / TI-92 Plus features. Appendix A provides one convenient

location to find details about every TI and instruction.

Flash Applications...................................................................................... x

Keystroke Differences.............................................................................xii

What’s New?............................................................................................. xiv

Getting the TI.89 Ready to Use ................................................................ 2

Getting the TI.92 Plus Ready to Use........................................................ 3

Setting the Contrast and Selecting a Language...................................... 4

Performing Computations......................................................................... 8

Graphing a Function ................................................................................ 11

Turning the TI.89 / TI.92 Plus On and Off ............................................ 14

Setting the Display Contrast................................................................... 15

The TI.89 Keyboard ................................................................................. 16

The TI.92 Plus Keyboard......................................................................... 17

Modifier Keys............................................................................................ 18

Entering Alphabetic Characters............................................................. 21

Home Screen............................................................................................. 23

Entering Numbers .................................................................................... 25

Entering Expressions and Instructions................................................. 26

Formats of Displayed Results................................................................. 29

Editing an Expression in the Entry Line ............................................... 32

Menus......................................................................................................... 34

Using the Custom Menu .......................................................................... 37

Selecting an Application.......................................................................... 38

Setting Modes ........................................................................................... 40

Using the Clean Up Menu to Start a New Problem.............................. 43

Using the Catalog Dialog Box................................................................. 44

Storing and Recalling Variable Values................................................... 47

Reusing a Previous Entry or the Last Answer...................................... 49

Auto-Pasting an Entry or Answer from the History Area................... 52

Status Line Indicators in the Display..................................................... 53

Finding the Software Version and ID Number..................................... 55

89 / TI-92 Plus. The

89 / TI-92 Plus function

iii

Chapter 3: Symbolic Manipulation

Preview of Symbolic Manipulation........................................................ 58

Using Undefined or Defined Variables.................................................. 59

Using Exact, Approximate, and Auto Modes ....................................... 61

Automatic Simplification......................................................................... 64

Delayed Simplification for Certain Built-In Functions........................ 66

Substituting Values and Setting Constraints ........................................ 67

Overview of the Algebra Menu............................................................... 70

Common Algebraic Operations.............................................................. 72

Overview of the Calc Menu..................................................................... 75

Common Calculus Operations................................................................ 76

User-Defined Functions and Symbolic Manipulation ......................... 77

If You Get an Out-of-Memory Error....................................................... 79

Special Constants Used in Symbolic Manipulation ............................. 80

Chapter 4: Constants and Measurement Units

Chapter 5: Additional Home Screen Topics

Chapter 6: Basic Function Graphing

Chapter 7: Parametric Graphing

Preview of Constants and Measurement Units.................................... 82

Entering Constants or Units ................................................................... 83

Converting from One Unit to Another................................................... 85

Setting the Default Units for Displayed Results .................................. 87

Creating Your Own User-Defined Units................................................ 88

List of Pre-Defined Constants and Units............................................... 89

Saving the Home Screen Entries as a Text Editor Script ................... 94

Cutting, Copying, and Pasting Information .......................................... 95

Creating and Evaluating User-Defined Functions ............................... 97

Using Folders to Store Independent Sets of Variables ..................... 100

If an Entry or Answer Is “Too Big” ...................................................... 103

Preview of Basic Function Graphing................................................... 106

Overview of Steps in Graphing Functions.......................................... 107

Setting the Graph Mode......................................................................... 108

Defining Functions for Graphing ......................................................... 109

Selecting Functions to Graph ............................................................... 111

Setting the Display Style for a Function.............................................. 112

Defining the Viewing Window .............................................................. 113

Changing the Graph Format ................................................................. 114

Graphing the Selected Functions......................................................... 115

Displaying Coordinates with the Free-Moving Cursor...................... 116

Tracing a Function ................................................................................. 117

Using Zooms to Explore a Graph......................................................... 119

Using Math Tools to Analyze Functions ............................................. 122

Preview of Parametric Graphing.......................................................... 128

Overview of Steps in Graphing Parametric Equations ..................... 129

Differences in Parametric and Function Graphing ........................... 130

Chapter 8: Polar Graphing

Preview of Polar Graphing.................................................................... 134

Overview of Steps in Graphing Polar Equations................................ 135

Differences in Polar and Function Graphing...................................... 136

Chapter 9: Sequence Graphing

Chapter 10: 3D Graphing

Chapter 11: Differential Equation Graphing

Preview of Sequence Graphing ............................................................ 140

Overview of Steps in Graphing Sequences......................................... 141

Differences in Sequence and Function Graphing .............................. 142

Setting Axes for Time, Web, or Custom Plots .................................... 146

Using Web Plots...................................................................................... 147

Using Custom Plots................................................................................ 150

Using a Sequence to Generate a Table................................................ 151

Preview of 3D Graphing ........................................................................ 154

Overview of Steps in Graphing 3D Equations.................................... 156

Differences in 3D and Function Graphing.......................................... 157

Moving the Cursor in 3D ....................................................................... 160

Rotating and/or Elevating the Viewing Angle..................................... 162

Animating a 3D Graph Interactively .................................................... 164

Changing the Axes and Style Formats................................................. 165

Contour Plots.......................................................................................... 167

Example: Contours of a Complex Modulus Surface ......................... 170

Implicit Plots........................................................................................... 171

Example: Implicit Plot of a More Complicated Equation................. 173

Preview of Differential Equation Graphing ........................................ 176

Overview of Steps in Graphing Differential Equations..................... 178

Differences in Diff Equations and Function Graphing...................... 179

Setting the Initial Conditions................................................................ 184

Defining a System for Higher-Order Equations ................................. 186

Example of a 2nd-Order Equation ....................................................... 187

Example of a 3rd-Order Equation........................................................ 189

Setting Axes for Time or Custom Plots............................................... 190

Example of Time and Custom Axes .................................................... 191

Example Comparison of RK and Euler ............................................... 193

Example of the deSolve( ) Function.................................................... 196

Troubleshooting with the Fields Graph Format ................................ 197

Chapter 12: Additional Graphing Topics

Preview of Additional Graphing Topics.............................................. 202

Collecting Data Points from a Graph................................................... 203

Graphing a Function Defined on the Home Screen........................... 204

Graphing a Piecewise Defined Function............................................. 206

Graphing a Family of Curves................................................................ 208

Using the Two-Graph Mode.................................................................. 209

Drawing a Function or Inverse on a Graph ........................................ 212

Drawing a Line, Circle, or Text Label on a Graph ............................. 213

Saving and Opening a Picture of a Graph ........................................... 217

Animating a Series of Graph Pictures ................................................. 219

Saving and Opening a Graph Database ............................................... 220

Chapter 13: Tables

Chapter 14: Split Screens

Chapter 15: Data/Matrix Editor

Chapter 16: Statistics and Data Plots

Preview of Tables................................................................................... 222

Overview of Steps in Generating a Table............................................ 223

Setting Up the Table Parameters ......................................................... 224

Displaying an Automatic Table ............................................................ 226

Building a Manual (Ask) Table............................................................. 229

Preview of Split Screens........................................................................ 232

Setting and Exiting the Split Screen Mode ......................................... 233

Selecting the Active Application .......................................................... 235

Preview of the Data/Matrix Editor....................................................... 238

Overview of List, Data, and Matrix Variables..................................... 239

Starting a Data/Matrix Editor Session................................................. 241

Entering and Viewing Cell Values........................................................ 243

Inserting and Deleting a Row, Column, or Cell.................................. 246

Defining a Column Header with an Expression................................. 248

Using Shift and CumSum Functions in a Column Header................ 250

Sorting Columns..................................................................................... 251

Saving a Copy of a List, Data, or Matrix Variable .............................. 252

Preview of Statistics and Data Plots.................................................... 254

Overview of Steps in Statistical Analysis............................................ 258

Performing a Statistical Calculation.................................................... 259

Statistical Calculation Types ................................................................ 261

Statistical Variables................................................................................ 263

Defining a Statistical Plot...................................................................... 264

Statistical Plot Types ............................................................................. 266

Using the Y= Editor with Stat Plots..................................................... 268

Graphing and Tracing a Defined Stat Plot .......................................... 269

Using Frequencies and Categories ...................................................... 270

If You Have a CBL 2/CBL or CBR......................................................... 272

Chapter 17: Programming

Preview of Programming....................................................................... 276

Running an Existing Program............................................................... 278

Starting a Program Editor Session....................................................... 280

Overview of Entering a Program.......................................................... 282

Overview of Entering a Function......................................................... 285

Calling One Program from Another..................................................... 287

Using Variables in a Program ............................................................... 288

Using Local Variables in Functions or Programs.................................. 290

String Operations ................................................................................... 292

Conditional Tests ................................................................................... 294

Using If, Lbl, and Goto to Control Program Flow.............................. 295

Using Loops to Repeat a Group of Commands.................................. 297

Configuring the TI-89 / TI-92 Plus........................................................ 300

Getting Input from the User and Displaying Output ......................... 301

Creating a Custom Menu....................................................................... 303

Creating a Table or Graph..................................................................... 305

Drawing on the Graph Screen .............................................................. 307

Accessing Another TI.89 / TI.92 Plus, a CBL 2/CBL, or a

CBR..................................................................................................... 309

Debugging Programs and Handling Errors......................................... 310

Example: Using Alternative Approaches ............................................ 311

Assembly-Language Programs ............................................................. 313

Chapter 18: Text Editor

Chapter 19: Numeric Solver

Chapter 20: Number Bases

Preview of Text Operations.................................................................. 316

Starting a Text Editor Session.............................................................. 317

Entering and Editing Text..................................................................... 319

Entering Special Characters.................................................................. 324

Entering and Executing a Command Script ....................................... 328

Creating a Lab Report............................................................................ 330

Preview of the Numeric Solver ............................................................ 334

Displaying the Solver and Entering an Equation ............................... 335

Defining the Known Variables.............................................................. 337

Solving for the Unknown Variable....................................................... 339

Graphing the Solution............................................................................ 340

Preview of Number Bases..................................................................... 344

Entering and Converting Number Bases............................................. 345

Performing Math Operations with Hex or Bin Numbers .................. 346

Comparing or Manipulating Bits .......................................................... 347

vii

Chapter 21: Memory and Variable Management

Preview of Memory and Variable Management ................................. 350

Checking and Resetting Memory ......................................................... 353

Displaying the VAR-LINK Screen......................................................... 355

Manipulating Variables and Folders with VAR-LINK ........................ 357

Pasting a Variable Name to an Application ........................................ 359

Archiving and Unarchiving a Variable................................................. 360

If a Garbage Collection Message Is Displayed ................................... 362

Memory Error When Accessing an Archived Variable...................... 364

Chapter 22: Linking and Upgrading

Chapter 23: Activities

Appendix A: Functions and Instructions

Linking Two Units.................................................................................. 366

Transmitting Variables, Flash Applications, and Folders................. 367

Transmitting Variables under Program Control................................. 371

Upgrading Product Software (Base Code) ......................................... 373

Collecting and Transmitting ID Lists................................................... 378

Compatibility between a TI.89, TI.92 Plus, and TI.92 ...................... 380

Analyzing the Pole-Corner Problem .................................................... 384

Deriving the Quadratic Formula .......................................................... 386

Exploring a Matrix ................................................................................. 388

Exploring cos(x) = sin(x)...................................................................... 389

Finding Minimum Surface Area of a Parallelepiped.......................... 390

Running a Tutorial Script Using the Text Editor ............................... 392

Decomposing a Rational Function....................................................... 394

Studying Statistics: Filtering Data by Categories .............................. 396

CBL 2/CBL Program for the TI-89 / TI-92 Plus................................... 399

Studying the Flight of a Hit Baseball ................................................... 400

Visualizing Complex Zeros of a Cubic Polynomial............................. 402

Solving a Standard Annuity Problem................................................... 404

Computing the Time-Value-of-Money.................................................. 405

Finding Rational, Real, and Complex Factors.................................... 406

Simulation of Sampling without Replacement................................... 407

Quick-Find Locator ................................................................................ 410

Alphabetical Listing of Operations ...................................................... 414

viii

Appendix B: Reference Information

TI-89 / TI-92 Plus Error Messages ....................................................... 542

Modes....................................................................................................... 550

TI-89 / TI-92 Plus Character Codes ..................................................... 555

TI.89 Key Codes ..................................................................................... 556

TI.92 Plus Key Codes............................................................................. 559

Entering Complex Numbers ................................................................. 563

Accuracy Information............................................................................ 566

System Variables and Reserved Names .............................................. 567

EOS (Equation Operating System) Hierarchy.................................... 568

Regression Formulas ............................................................................. 570

Contour Levels and Implicit Plot Algorithm....................................... 572

Runge-Kutta Method .............................................................................. 573

Appendix C: Service and Warranty Information

Appendix D: Programmer’s Guide

Battery Information ............................................................................... 576

In Case of Difficulty ............................................................................... 579

Support and Service Information......................................................... 580

Warranty Information............................................................................ 581

setMode( ) and getMode( ) ................................................................... 584

setGraph( ) .............................................................................................. 587

setTable( ) ............................................................................................... 589

Index ........................................................................................................ 591

TI-89 Shortcut Keys TI-92 Plus Shortcut Keys

Flash Applications

Applications

Hardware/Software

Requirements

Hardware Setup for the Computer

Installing a Flash Application from the CD-ROM

Note: For further

information about transmitting applications to and from your computer using TI Connect, refer to the TI Connect online help.

Flash functionality enables the ability to download different applications to a CD-ROM, the TI web site, or from another calculator.

Before downloading new applications to a read and accept the license agreement on the Applications CD-ROM.

Before installing Flash applications, you will need:

• A computer with a CD-ROM drive and a serial port.

TI™ Connect

•

cable. If you need the

TI-GRAPH LINK

To set up:

1. Insert the small end of the

the bottom of the

2. Connect the other end to the computer’s serial port using a

25-to-9 pin adapter if necessary.

To install an application:

1. Insert the

computer’s CD-ROM drive.

2. From the computer, start the

3. From the

Certificates

4. Locate the Flash application on the CD-ROM and double-click.

The Flash application is copied to the calculator.

TI-89 / TI-92 Plus

TI-GRAPH LINK™

cable, check the TI web site at

TI-89

TI-89 / TI-92 Plus

Link

menu, click

calculator from the enclosed

TI-89 / TI-92 Plus

TI Connect/ TI-GRAPH LINK

or the top of the

software and a

TI-GRAPH LINK

TI-92 Plus

Applications CD-ROM into the

TI-GRAPH LINK

Send Flash Software 8 Applications and

TI-GRAPH LINK

software or a

education.ti.com

cable into the port at

software.

, please

Running a Flash Application

To run an application:

1. On the

2. Use the cursor keys CD to highlight the application and press

TI-89 / TI-92 Plus

APPLICATIONS

¸.

menu.

, press ¥ O to display the

FLASH

Transferring a Flash Application from another TI-89 / TI-92 Plus

Note: This guidebook uses

screen shots.

TI-89

Do not attempt to transfer an application if a low-battery message appears on either the receiving or sending calculator.

1. Connect the calculators with the calculator-to-calculator cable

that came with the

TI-89 / TI-92 Plus

2. On the sending calculator:

a. Press 2

b. Press:

TI-89: TI-92 Plus:

‰

c. Highlight the Flash application and press † (a Ÿ is displayed

to the left of the selected item)

3. On the receiving calculator:

a. Press 2

b. Press …

c. Select:

2:Receive

d. Press ¸

4. On the sending calculator:

a. Press …

b. Select:

1:Send to TI-89/92 Plus

c. Press ¸

Backing up a Flash Application

Note: For further

information about transmitting applications to and from your computer using TI Connect, refer to the TI Connect online help.

Deleting a Flash Application

Note: To select all Flash applications, use the menu.

‡

All

To back up an application to the computer:

1. On the calculator, press:

TI-89:

TI-92 Plus:

2. From the computer, start the

3. From the

¹ "

Link

menu, click

TI-GRAPH LINK

Receive Flash Software

software

4. Select one or more Flash applications and click add

5. Click ok

6. Save the application to the computer and record this information

for future reference.

To delete a Flash application from the calculator:

1. Press 2

to display the

VAR-LINK

screen

2. Press:

TI-89:

TI-92 Plus:

‰

3. Highlight the Flash application and press † (a Ÿis displayed to

the left of the selected item)

4. Press ƒ and choose

1:Delete

— or —

Press 0 (a confirmation message appears)

5. Press ¸ to confirm the deletion.

Keystroke Differences

There are certain differences in keystrokes using the

TI-89 / TI-92 Plus

for various operations. The

following table shows the keystrokes for major commands for the two calculators.

FUNCTION LETTERS

One lowercase letter (a-s, u, v, w) One lowercase letter (t, x, y, z) Several lowercase letters End several lowercase letters Several uppercase letters End several uppercase letters

FUNCTION KEYS

F6 F7 F8

NAVIGATION

Scroll tall objects up or down in history Move cursor far left or far right on entry line Diagonal movement

T, X, Y, Z T, X, Y, Z

2 ™

¤ ™

2 ˆ

2 ‰

2 Š

¤ C, ¤ D

2 A, 2 B2

C C D D

FUNCTIONS

Display Home screen Cut Copy Paste Catalog Display Units dialog box Sin Cos Tan LN

õ¥

e EE

¥ 5

¥ 6

¥ 7

2 9

2 W

2 X

2 Y

2 x

TI-89

A-S, U-W A-S, U-W

and

›

TI-92 Plus

2 ¢ 2 ¢.

‰

‚ C, ‚ D

A, 2 B

E F G H

¥ "

¥ 2 ½

x 2 s 2 ^

xii

FUNCTION SYMBOLS

(Conversion triangle)

_ (Underscore) θ (Theta) | (“With”) ' (Prime)

° (Degree) ∠ (Angle) Σ (Sigma)

xê (Reciprocal) Space

HIDDEN SHORTCUTS

Place data in sysdata variable Greek characters Keyboard map Place data in Home screen history Grave (à, è, ì, ò, ù) Cedilla (ç) Acute (á, é, í, ó, ú, ý) Tilde (ã, ñ, õ) Caret (â, ê, î, ô, û) Umlaut (ä, ë, ï, ö, ü, ÿ) ? (Question mark) β (Beta) # (Indirection) & (Append) @ (Arbitrary) ≠ (Not equal to symbol) ! (Factorial) Comment (Circle-C) New Open Save copy as Format dialog box

TI-89

2 

¥ 

¥ Ï

2 È

2 v

2 ’

Σ ( 2 >

^-1 2 V

j

¥ b

¥ c j

or ¥ c

¥ ^

¥ ·

2 ¿

¥ p

5 5 6 5 5 6 5 5 3 5 6 3

(times) 2

¥ §

¥ Á

¥ e

¥ d

¥ Í

›

TI-92 Plus





Ï 2 Í

’

Space bar

or ¥

¥ ¥ ”

A a, e, i, o, u

C c

E a, e, i, o, u, y

N a, n, o

O a, e, i, o, u

U a, e, i, o, u, y

H R

xiii

What’s New?

Introducing Advanced Mathematics Software Version 2.0

Language Localization

TI developed the Advanced Mathematics Software Version 2.0 to enable downloadable calculator software applications for the

Advanced Mathematics Software Version 2.0 is an infrastructure enhancement of the current Advanced Mathematics Software Version 1.xx. It has all the features of Version 1.xx. The improved infrastructure enables multiple downloadable calculator software applications, language localization. This enhancement also provides your new over 702-KB Flash memory between user data archive and calculator software applications.

All previous

2.0. However, on some data archive can only occupy a maximum of 384-KB of the over 702KB Flash memory shared with calculator software applications.

You can download Advanced Mathematics Software Version

2.0 to your computer from the TI web site at then transfer it to your TI

TI™ Connect

cable. The Advanced Mathematics Software is free from the TI web site at

The other languages. These free applications translate prompts, error messages, and most functions into one of several languages.

TI-89 / TI-92 Plus

TI-89

TI GRAPH LINK™

education.ti.com

TI-89 / TI-92 Plus

and

TI-89

and

can be localized into

TI-92 Plus

with maximum reapportionment of the

TI-92 Plus Modules

and all

TI-89

TI-92 Plus Module

89 / TI-92 Plus using the

software and a

For details, refer to:

Chapter 21 and 22

can be upgraded to Version

units, the user

education.ti.com

TI-GRAPH LINK

For details, refer to:

Chapter 1

Improved User Interface

xiv

The improved user interface allows folder collapse/expand and expands the user-defined functions.

CATALOG

menu to include application functions and

Upgradability with Flash ROM

The

TI-89 / TI-92 Plus

which lets you upgrade future software versions without buying a new calculator.

uses Flash technology,

For details, refer to:

Chapter 22

As new functionality becomes available, you can electronically upgrade your

TI-89 / TI-92 Plus

. Future software versions include maintenance upgrades that will be released free of charge, as well as new applications and major future upgrades that will be available for purchase from the TI web site.

To download upgrades from the TI web site, you must have an Internet-connected computer, software, and a

TI-GRAPH LINK

TI™ Connect or TI-GRAPH LINK™

cable. You can also transfer the product software (operating system) and Flash applications from one

TI-89 / TI-92 Plus

to another using a unit-to-unit cable, provided

that the receiving calculator is also licensed to run that software.

Custom Menu

New to the

TI-92 Plus

is the custom menu feature that lets you create your own toolbar menu. A custom menu can contain any available function, instruction, or set of characters. The

TI-92 Plus

has a default

custom menu that you can modify or redefine.

Chapter 1: Getting Started

Getting the TI.89 Ready to Use ................................................................ 2

Getting the TI.92 Plus Ready to Use........................................................ 3

Setting the Contrast and Selecting a Language...................................... 4

Performing Computations......................................................................... 8

Graphing a Function ................................................................................ 11

This chapter helps you to get started using the quickly. This chapter takes you through several examples to introduce you to some of the principal operating and graphing functions of the

After setting up your examples, please read Chapter 2: Operating the Calculator. You then will be prepared to advance to the detailed information provided in the remaining chapters in this guidebook.

TI-89 / TI-92 Plus

and completing these

TI-89 / TI-92 Plus

Chapter 1: Getting Started 1

Getting the TI-89 Ready to Use

The TI

89 comes with four AAA batteries. This chapter

describes how to install these batteries. It also describes how to turn the unit on for the first time, set the display contrast, select a language, and view the Home screen for both the

TI-89 and the TI-92 Plus.

Installing the AAA Batteries

Important: When replacing

batteries in the future, ensure that the turned off by pressing

2®

TI-89

To install the four AAA batteries:

1. Place the

face down on a soft cloth to prevent scratching

TI-89

the display face.

2. On the back of the calculator, depress the battery cover latch. Lift

and remove the battery cover.

3. Remove the batteries from the package and install them in the

battery compartment. Arrange the batteries according to the polarity (+ and N) diagram in the battery compartment.

4. Replace the battery cover by inserting the two prongs into the

two slots at the bottom of the battery compartment, and then push the cover until the latch snaps closed.

To replace the batteries without losing any information stored in memory, follow the directions in Appendix C.

Lithium battery

AAA batteries

2 Chapter 1: Getting Started

Getting the TI-92 Plus Ready to Use

The TI

92 Plus comes with four AA batteries. This chapter

describes how to install these batteries. It also describes how to turn the unit on for the first time, set the display contrast, select a language, and view the Home screen for both the

TI-92 Plus and the TI-89.

Installing the AA Batteries

Important: When replacing

batteries in the future, ensure that the turned off by pressing

2 ®

TI-92 Plus

To install the four AA alkaline batteries:

1. Holding the

TI-92 Plus

unit upright, slide the latch on the top of the unit to the left unlocked position; slide the rear cover down about one-eighth inch and remove it from the main unit.

Slide to open.

2. Place the

TI-92 Plus

face down on a soft cloth to prevent

scratching the display face.

3. Install the four AA batteries. Be sure to position the batteries according to the diagram inside the unit. The positive (+) terminal of each battery should point toward the top of the unit.

AA batteries

Lithium battery

top

I/O

back

4. Replace the rear cover and slide the latch on the top of the unit to the right locked position to lock the cover back in place.

Chapter 1: Getting Started 3

Setting the Contrast and Selecting a Language

Turning the Unit on and Adjusting the Display Contrast

Languages on the TI-89 / TI-92 Plus

Important Information About the Language Process

Note: English cannot be

deleted and remains available in the product software (base code).

After you install the batteries in your possible that the display contrast may be too dark or too dim to see anything.

To adjust the display to your satisfaction, hold down ¥(diamond symbol inside a green border) and momentarily press |(minus key) to lighten the display. Hold down ¥and momentarily press «(plus key) to darken the display.

You will see a screen that lists several languages. The list of languages on your calculator may vary from this example.

Languages other than English are available as Flash applications. English is part of the product software (base code). You may keep as many or as few alternate languages on your calculator as you want (subject to memory limitation) and switch between them easily. During the process, you will be given an opportunity to choose additional languages to keep or delete. You may also add or delete language applications through the

The

TI-89 / TI-92 Plus

Localizing means that all menu names, dialog boxes, error messages, etc., will display in the language of your choice.

The

TI-89 / TI-92 Plus

time; however, you can keep additional languages on the unit and switch the language at any time.

The initial localization of the

Phase I -

the

TI-89 / TI-92 Plus

selected language.

Phase II -

language you selected in Phase I.

Phase III -

selected in Phase I. You can now select one or more language applications that you would like to keep on the calculator (in case you want to switch to another language later). You can always reload one or more language applications later, if necessary. The calculator will then automatically delete the unselected languages.

can be localized into one of several languages.

can be localized into only one language at a

Select the language in which you would like to localize

. Future online instructions will appear in the

Read the instructional message that appears in the

The

TI-89 / TI-92 Plus

VAR-LINK

TI-89 / TI-92 Plus

is localized into the language you

screen.

, press ´. It is

occurs in three phases:

4 Chapter 1: Getting Started

Localizing the TI-89 / TI-92 Plus

1. Press the cursor keys (D or C) to move the pointer to the language in which you would like to set your

TI-89 / TI-92 Plus

. (The list of languages on your calculator may vary from this example.)

Note: Until you complete the localization process, the Select a Language dialog box will reappear when you turn the unit on.

2. Press

to set the

TI-89 / TI-92 Plus

into the selected language. (Pressing N halts the localization process and displays the Home screen.)

3. Read the message that appears and then press

The message displays in the language you previously selected.

4. Press the cursor keys (D or C) to move the pointer and then press ƒ to select each additional language that you would like to keep. — or — Press „ to select and keep

You cannot uncheck English or the language you selected in step 1.

Pressing ƒ toggles the Ÿ on and off.

5. Press

to complete the localization process. Additional

of the language applications.

all

selected languages, if any, are retained in memory and unselected languages are deleted to free up Flash memory. (Pressing

halts the localization process and displays the Home screen.)

If additional language applications remain on your you can change the localization language via

Page 3

TI-89 / TI-92 Plus

(…) of the

Mode

dialog box. See “Setting Modes” in Chapter 2 for information on how

Mode

to use the Flash applications via the

dialog box. You can add or delete language and other

VAR-LINK

screen. See “Transmitting

Variables, Flash Applications, and Folders” in Chapter 22.

Language applications are available on the enclosed CD and from the Texas Instruments web site. For up-to-date information about Flash applications, including additional language applications, check the Texas Instruments web site at:

education.ti.com

Chapter 1: Getting Started 5

About the Home Screen

History Area

Lists entry/answer pairs you have entered. Pairs scroll up the screen as you make new entries.

After you select a language, a blank Home screen is displayed.

The Home screen lets you execute instructions, evaluate expressions, and view results.

The following example contains previously entered data and describes the main parts of the Home screen. Entry/answer pairs in the history area are displayed in “pretty print.” Pretty print displays expressions in the same form in which they are written on the board or in textbooks.

Toolbar

Lets you display menus for selecting operations applicable to the Home screen. To display a toolbar menu, press ƒ, „, etc.

Last Entry

Your last entry.

Entry Line

Where you enter expressions or instructions.

6 Chapter 1: Getting Started

Status Line

Shows the current state of the calculator.

Last Answer

Result of your last entry. Note that results are not displayed on the entry line.

The following example shows an answer that is not on the same line as the expression. Note that the answer is longer than the screen width. An arrow (8) indicates the answer is continued. The entry line contains ellipsis (…). Ellipsis indicates the entry is longer than the screen width.

Last Entry

"Pretty print" is ON. Exponents, roots, fractions, etc., are displayed in the same form in which they are traditionally written.

Answer Continues

Highlight the answer and press B to scroll right and view the rest of it. Note that the answer is not on the same line as the expression.

Expression Continues

Press B to scroll right and view the rest of the entry. Press 2 A or 2 B to go to the beginning or end of the entry line.

Turning the TI-89 / TI-92 Plus Off

When you want to turn the

TI-89 / TI-92 Plus

off, press

(Note: ® is the second function of the ´ key.)

Chapter 1: Getting Started 7

2®

Performing Computations

This section provides several examples for you to perform that demonstrate some of the computational features of the TI

89 / TI-92 Plus. The history area in each screen was

cleared by pressing ƒand selecting 8:Clear Home, before performing each example, to illustrate only the results of the example’s keystrokes.

Steps

TI.89

Keystrokes

›

TI.92 Plus

Keystrokes Display

Showing Computations

1. Compute result in symbolic and numeric format.

To clear the history area of previous

calculations, press

8:Clear Home.

sin(p/4)

and display the

and select

2W2T e4d¸ ¥¸

W2T e4d¸ ¥¸

Finding the Factorial of Numbers

1. Compute the factorial of several numbers to see how the

TI-89 / TI-92 Plus

handles very

large integers.

To get the factorial operator (!), press

, select

then select

1:!

7:Probability

, and

52W

202W

302W

Expanding Complex Numbers

1. Compute

TI-89 / TI-92 Plus

(3+5i)

handles

to see how the

computations involving complex numbers.

Finding Prime Factors

1. Compute the factors of the

2634492

on the

„

and

rational number

You can enter “factor” on the entry

line by typing keyboard, or by pressing selecting

2. (

Optional

FACTOR

2:factor(

) Enter other numbers

on your own.

8 Chapter 1: Getting Started

c3«52) dZ3¸

„

2634492

c3«52) dZ3¸

„

2634492

Steps

Expanding Expressions

(xì5)

on the

„

and

1. Expand the expression

You can enter “expand” on the entry

line by typing keyboard, or by pressing selecting

2. (

Optional

EXPAND

3:expand(

) Enter other

expressions on your own.

Reducing Expressions

1. Reduce the expression

5)/(xì1)

ì2xì

to its simplest

form.

You can enter “propFrac” on the entry

line by typing keyboard, or by pressing selecting

PROPFRAC

7:propFrac(.

on the

and

„

Factoring Polynomials

1. Factor the polynomial

with respect to x.

You can enter “factor” on the entry

line by typing keyboard or by pressing selecting

FACTOR

2:factor(

on the

and

„

TI.89

Keystrokes

„ cX|5dZ d ¸

„ cXZ2|

|5de cX|1dd ¸

„

XZ2|5

bXd ¸

›

TI.92 Plus

Keystrokes Display

„

cX|5dZ

d ¸

„ cXZ2|

|5de cX|1dd ¸

„

XZ2|5

bXd ¸

Solving Equations

6=2

1. Solve the equation

ì2xì

with respect to x.

You can enter “solve(” on the entry

line by selecting Catalog menu, by typing the keyboard, or by pressing selecting

The status line area shows the

required syntax for the marked item in the Catalog menu.

1:solve(

“solve(”

from the

SOLVE(

„

and

„

XZ2|2X|6

Á2bXd ¸

„

XZ2|2X|6

Á2bXd ¸

Chapter 1: Getting Started 9

Steps

Solving Equations with a Domain Constraint

6=2

1. Solve the equation

ì2xì

with respect to x where x is greater than zero.

The “with” (I) operator provides

domain constraint.

TI.89:

TI.92 Plus:

Finding the Derivative of Functions

1. Find the derivative of

(xìy)3/(x+y)

This example illustrates using the

calculus differentiation function and how the function is displayed in “pretty print” in the history area.

with respect to x.

Finding the Integral of Functions

1. Find the integral of respect to

This example illustrates using the

calculus integration function.

xùsin(x)

with

TI.89

Keystrokes

„

XZ2|2X|6

Á2bXd

2Ã ¸

2=cX|

dZ3ecX«

YdZ2bX

2<Xp 2WXdb

d¸

›

TI.92 Plus

Keystrokes Display

„

XZ2|2X|6

Á2bXd

2 Í

2Ã ¸

2=cX|

dZ3ecX«

YdZ2bX

2<Xp WXdb

d¸

10 Chapter 1: Getting Started

Graphing a Function

The example in this section demonstrates some of the graphing capabilities of the

TI-89 / TI-92 Plus. It illustrates how to graph a function using the Y= Editor. You will learn

how to enter a function, produce a graph of the function, trace a curve, find a minimum point, and transfer the minimum coordinates to the Home screen.

Explore the graphing capabilities of the TI

ì3|ì

10)/2

y=(|x

89 / TI-92 Plus by graphing the function

Steps

1. Display the Y= Editor.

2. Enter the function

(abs(x

ì3)ì

10)/2

3. Display the graph of the function.

Select

6:ZoomStd

moving the cursor to pressing

by pressing 6 or by

6:ZoomStd

and

4. Turn on Trace.

The tracing cursor, and the x and y

coordinates are displayed.

TI.89

Keystrokes

¥#

c½ ¸

XZ2|3 10de2

„

…

›

TI.92 Plus

Keystrokes Display

¥#

c 2½

XZ2|3

10de2

„

…

entry line

“pretty print” display of the function in the entry line

tracing cursor

Open the

3:Minimum

MATH

menu and select

‡DD¸

Chapter 1: Getting Started 11

Steps

6. Set the lower bound.

Press B(right cursor) to move the

tracing cursor until the lower bound for x is just to the left of the minimum node before pressing second time.

the

7. Set the upper bound.

Press B(right cursor) to move the

tracing cursor until the upper bound for x is just to the right of the minimum node.

TI.89

Keystrokes

...

›

TI.92 Plus

Keystrokes Display

...

8. Find the minimum point on the graph between the lower and upper bounds.

9. Transfer the result to the Home screen, and then display the Home screen.

Shortcuts for copying graph

coordinates to Home screen history:

¥·

TI.89: TI.92 Plus:

¥· "

¥ ¥"

minimum coordinates

minimum point

12 Chapter 1: Getting Started