Texas Instruments TITANIUM TI-89 User Manual

TI-89 Titanium Graphing Calculator

Important Information

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USA 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 to 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.

TI-89 Titanium Graphing Calculator 2

• Consult the dealer or an experienced radio/television technician for help.

Caution: Any changes or modifications to this equipment not expressly approved by Texas Instruments may void your authority to operate the equipment.

Windows and Macintosh are trademarks of their respective owners.

TI-89 Titanium Graphing Calculator 3

Getting Started

Getting StartedGetting Started

Initial start-up

Initial start-up Initial start-up

Installing the AAA Batteries

Installing the AAA BatteriesInstalling the AAA Batteries

The TI-89 Titanium uses four AAA alkaline batteries and a backup silver oxide battery (SR44SW or 303). The backup battery is already installed, and the AAA batteries are provided with the product.

1. Remove the battery cover from the back of the calculator.

2. Unwrap the four AAA batteries provided with your product and insert them in the battery compartment. Arrange the batteries according to the polarity (+ and -) diagram in the battery compartment.

3. Replace the battery cover on the calculator. The cover should snap into place.

Getting Started 4

Turning on your

Turning on your TI-89 Titanium

Turning on your Turning on your

TI-89 Titanium for the first time

TI-89 TitaniumTI-89 Titanium

for the first time

for the first time for the first time

After installing the batteries included with the calculator, press ´. The Apps desktop appears.

Note: If your calculator initializes the preinstalled Apps, a progress bar will appear with

the message “

Installation in progress . . . Do not interrupt!” instead of the

Apps desktop. To avoid losing Apps, do not remove the batteries during initialization. (You can re-install Apps from either the Product CD-ROM or education.ti.com

Progress bar

Adjusting the contrast

Adjusting the contrastAdjusting the contrast

• To lighten the display, press and hold 8 and tap

VAR-LINK

• To darken the display, press and hold 8 and tap

CHAR

«.

The Apps desktop

The Apps desktopThe Apps desktop

The Apps desktop is the starting point for operating your TI-89 Titanium. Your installed Apps appear on the Apps desktop as icons organized in categories for easy access. From the Apps desktop, you can:

• Open Apps.

Getting Started 5

• Select and edit categories of Apps.

• View all of the Apps installed on your calculator.

• View the full name of the highlighted App.

• View and edit the time and date.

• Check status line information.

• View split-screen mode information.

TI-89 Titanium Apps desktop

Ê View full name of highlighted App.

Ë View time and date.

Ì Press ¸ to open highlighted App.

Í Scroll down to view additional Apps.

Î Check status line information.

Getting Started 6

Ï Edit categories.

To return to the Apps desktop at any time, press O. The last category selected appears with the last open App highlighted.

Turning off the calculator

Turning off the calculatorTurning off the calculator

Press 2®. The next time you turn on the calculator, the Apps desktop appears with the same settings and memory contents retained. (If you turned off the Apps desktop, the calculator Home screen appears.)

You can use either of the following keys to turn off the TI-89 Titanium.

Press: Description

2 ® (press 2

and then press

¥ ® (press ¥

and then press

Getting Started 7

Settings and memory contents are retained by the Constant Memory™ feature.

®)

• You cannot, however, use 2 ® if an error

message is displayed.

• When you turn the TI-89 Titanium on again, it displays either the Home screen or the Apps desktop (regardless of the last application you used).

Similar to

®)

• You can use ¥ ® if an error message is

• When you turn the TI-89 Titanium on again, it

2 ® except:

displayed.

will be exactly as you left it.

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

The calculator’s Automatic Power Down™ (APD™) feature prolongs battery life by turning the calculator off automatically following several minutes of inactivity. When you turn on the calculator after APD:

• The display, cursor, and any error conditions are exactly the same as before APD.

• All settings and memory contents are retained.

Note: APD does not occur if a calculation or program is in progress, unless the program

is paused. If a program is running but waiting for a key press, APD will occur after several minutes of inactivity.

Getting Started 8

TI-89 Titanium

TI-89 Titanium keys

TI-89 TitaniumTI-89 Titanium

keys

keys keys

Getting Started 9

TI-89 Titanium keys

Ê Function keys (ƒ– Š) open toolbar menus, access Apps, and edit categories of Apps.

Ë Cursor keys (A, B, C, D) move the cursor.

Ì Numeric keypad performs math and scientific functions.

Í Modifier keys (2, 8, 7) add features by increasing the number of key commands.

Entering special characters

Entering special charactersEntering special characters

Use the CHAR (Character) menu and key commands to enter special characters. The CHAR menu lets you access Greek, math, international, and other special characters. An on-screen keyboard map shows the locations of shortcuts used to enter other commonly used characters.

To select characters from the CHAR menu:

1. Press 2G. The CHAR menu appears.

2. Use the cursor keys to select a category. A submenu lists the characters in that category.

3. Use the cursor keys to select a character, and press ¸.

Getting Started 10

Example: Enter the right arrow symbol (→) in the Text Editor.

Press Result

Scroll down for more characters.

– or –

Press

D repeatedly to

select 9:

and press

→

Symbol displayed at cursor location.

To open the keyboard map, press 8”. The keyboard map appears.

Getting Started 11

To type most characters, press 8 and the corresponding key. Press N to close the map.

Example: Use the keyboard map to find the “not equal to” symbol (ƒ) shortcut and enter the symbol in the Program Editor.

Press Result

8”

¥Á

Symbol displayed at cursor location.

Getting Started 12

Modifier keys

Modifier keysModifier keys

Modifier keys add features by increasing the number of keyboard operations at your fingertips. To access a modifier function, press a modifier key and then press the key for the corresponding operation.

Keys Description

(Second)

(Diamond)

(Shift)

(Alpha)

Accesses Apps, menu options, and other operations. Second functions are printed above their corresponding keys in the same color as

2 key.

the

Accesses Apps, menu options, and other operations. Diamond functions are printed above their corresponding keys in the same color as the

Types an uppercase character for the next letter key you press. Also used with A and B to highlight characters when editing.

Lets you type alphabetic characters without a QWERTY keypad. Alpha characters are printed above their corresponding keys in the same color as the

8 key.

j key.

Getting Started 13

Example: Access the VAR-LINK [All] screen, where you can manage variables and Apps.

Press Result

2°

Function keys

Function keysFunction keys

Use the function keys to perform the following operations:

• On the Apps desktop, open Apps and select or edit Apps categories.

• On the calculator Home screen, open toolbar menus to select math-related operations.

• Within Apps, open toolbar menus to select App options.

Numeric keypad

Numeric keypadNumeric keypad

The numeric keypad lets you enter positive and negative numbers.

To enter a negative number, press ? before typing the number.

Note: Don’t confuse the negation key (?) with the subtraction key (|).

Getting Started 14

To enter a number in scientific notation:

1. Type the numbers that precede the exponent. (This value can be an expression.)

2. Press ^. The exponent symbol (í) follows the numbers you entered.

3. Type the exponent as an integer with up to three digits. (As the following example shows, you can use a negative exponent.)

Example: On the calculator Home screen, enter 0.00685 using scientific notation.

Press Result

6 ¶ 85

Other important keys

Other important keysOther important keys

Key Command Description

Getting Started 15

Displays the Y= Editor.

Key Command Description

Displays the Window Editor.

¥5 ¥6 ¥7

8 O

2¾

¥

Displays the Graph screen.

Sets parameters for the Table screen.

Displays the Table screen.

These keys let you edit entered information by performing a cut, copy, or paste operation.

Displays the Apps desktop.

With the Apps desktop off, displays the FLASH APPLICATIONS menu.

Switches between the last two chosen Apps.

Turns the custom menu on and off.

Converts measurement units.

Designates a measurement unit.

Deletes the character to the left of the cursor (backspace).

Deletes the character to the right of the cursor.

Getting Started 16

Switches between insert and overwrite modes.

Key Command Description

2¯

Displays the MEMORY screen.

2£

Mode settings

Mode settings Mode settings

Displays a list of commands.

Recalls the contents of a variable.

Stores a value to a variable.

Displays the CHAR menu, which lets you select Greek letters, international accented characters, and other special characters..

• In full-screen mode, displays the Apps desktop.

• In split-screen mode, displays the full-screen view of the active App.

• With the Apps desktop off, displays the calculator Home screen.

Modes control how the TI-89 Titanium displays and interprets information. All numbers, including elements of matrices and lists, are displayed according to the current mode settings. When the TI-89 Titanium is turned off, the Constant Memory™ feature retains all of the mode settings you have selected.

To view the TI-89 Titanium mode settings:

Getting Started 17

1. Press 3. Page 1 of the MODE dialog box appears.

2. Press „ or … to display the modes listed on Page 2 or Page 3.

Note: Modes that are grayed out are available only if other required mode settings are

selected. For example, the Custom Units mode listed on Page 3 is available only if the Unit System mode is set to CUSTOM.

Viewing mode settings

Viewing mode settingsViewing mode settings

Press Result

ã„

Getting Started 18

Press Result

…

Changing mode settings

Changing mode settingsChanging mode settings

Example: Change the Language mode setting to Spanish (Español).

Press Result

…

Getting Started 19

Press Result

Scroll down to the Language

field.

Press B

and then press D until

3:Español is highlighted.

Note:

Your menu list might vary, depending on the languages installed.

Getting Started 20

Press Result

Note: The previous open App

appears (in this example, the calculator Home screen).

To return the Language mode setting to English, repeat the steps, selecting 1:English in the Language field.

Using the Catalog to access commands

Using the Catalog to access commands Using the Catalog to access commands

Use the Catalog to access a list of TI-89 Titanium commands, including functions, instructions, and user-defined programs. Commands are listed alphabetically. Commands not beginning with a letter are found at the end of the list (&, /, +, –, etc.).

The Catalog Help App includes details about each command.

Options not currently valid are grayed out. For example, the Flash Apps (

…) menu option is grayed out if no Flash applications are installed on your TI-89

Titanium; the User-Defined ( function or program.

†) menu option is grayed out if you have not created a

Getting Started 21

Note: Typing a letter takes you to the first command in the list starting with the same

letter.

Press Result

(displays Built-in commands)

…

(displays Flash Apps

commands, if any)

†

(displays User-Defined

commands, if any)

Select commands from the Catalog and insert them onto the calculator Home screen entry line or paste them to other Apps, such as the Y= Editor, Text Editor, or CellSheet Apps.

Getting Started 22

Example: Insert the comDenom( command on the calculator Home screen entry line.

Note: Before selecting a command, position the cursor where you want the command to

appear.

Pressing 2D advances the Catalog list one page at a time.

Press Result

½ C

Then press D until the pointer is

at the comDenom( function.

The status line displays any required and optional parameters for the selected command. Optional parameters appear in square brackets.

Note: Pressing ƒ will also display the parameters for the selected command.

Getting Started 23

Selected command

Command parameters

To exit the Catalog without selecting a command, press N.

Calculator Home screen

Calculator Home screenCalculator Home screen

The calculator Home screen is the starting point for math operations, including executing instructions, evaluating expressions, and viewing results.

To display the calculator Home screen, press: "

You can also display the calculator Home screen from the Apps desktop by highlighting the Home icon and pressing ¸.

Brackets [ ] indicate optional parameters

Getting Started 24

Ê History area lists the entry/answer pairs entered.

Ë Tabs display menus for selecting lists of operations. Press ƒ, „, and so on to

display menus.

Ì Result of last entry is displayed here. (Note that results are not displayed on the entry line.)

Í Status line shows the current state of the calculator.

Î Entry line displays your current entry.

Ï Your previous entry is displayed here.

To return to the Apps desktop from the calculator Home screen, press O.

Getting Started 25

About the history area

About the history areaAbout the history area

The history area displays up to eight entry/answer pairs, depending on the complexity and height of the expressions. When the display is filled, information scrolls off the top of the screen. Use the history area to:

• Review previous entries and answers. Use the cursor keys to view entries and

answers that have scrolled off the screen.

• Recall or auto-paste a previous entry or answer onto the entry line to reuse or edit.

(For more information, see the electronic Operating the Calculator chapter.)

The cursor, which normally rests on the entry line, can be moved into the history area. The following table shows you how to move the cursor around in the history area.

To Do this

View entries/answers scrolled off the screen

From the entry line, press C to highlight the last answer. Continue using answer to entry through the history area.

C to move the cursor from

Go to the oldest or newest entry/answer pair

View an entry or answer too long for one line (8 is displayed at the end of the line)

Return cursor to the entry line

Getting Started 26

If the cursor is in the history area, press

8C or

8D.

Move the cursor to the entry or answer. Use A or

B to scroll left or right and 2A or 2B to

go to the beginning or end.

Press

N, or press D until the cursor is back

on the entry line.

Interpreting histor y information on the status line

Interpreting histor y information on the status lineInterpreting histor y information on the status line

Use the history indicator on the status line for information about the entry/answer pairs. For example:

If the cursor is on the entry line:

Total number of pairs

currently saved

________

8/30

_______

Maximum number of pairs that can be saved

If the cursor is in the history area:

Pair number of the

highlighted

entry/answer

Modifying the history area

Modifying the history areaModifying the history area

_______

8/30

_______

Total number of pairs currently saved

To change the number of pairs that can be saved:

1. From the calculator Home screen, press ƒ and select

2. Press B and use C or D to highlight the new number.

3. Press ¸¸.

To clear the history area and delete all saved pairs:

• From the calculator Home screen, press ƒ and select

– or –

9:Format.

8:Clear Home.

Getting Started 27

•Enter ClrHome on the calculator Home screen entry line.

To delete an entry/answer pair, move the cursor to either the entry or answer, and press 0 or M.

Working with Apps

Working with AppsWorking with Apps

The TI-89 Titanium organizes Apps by category on the Apps desktop. To select a category, press a function key („ through 2 Š ). The App icons for the selected category appear on the Apps desktop.

Note: If the name under an Apps desktop icon is truncated, use the cursor keys to

highlight the icon. Now view the full name at the top of the Apps desktop.

Opening Apps

Opening AppsOpening Apps

Use the cursor keys or press the first letter of the App name to highlight the Apps icon on the Apps desktop and press ¸. The App either opens directly or displays a dialog box. The most common dialog box lists these options for the App:

Note: The TI-89 Titanium uses the general term variable to refer to the App data files that

you create.

Option Description

Current Returns the screen displayed when you last viewed

the App. If no current App variable exists, the New dialog box appears.

Open Lets you open an existing file.

Getting Started 28

Option Description

New Creates a new file with the name typed in the field.

Select an option, enter any required information, and press ¸. The App appears.

Example: Create a new program using the Program Editor.

Press Result

Use cursor keys to highlight

Getting Started 29

Press Result

program1

¸¸

The newly created program variable, program1, is saved to the Main folder.

Getting Started 30

Returning to the Apps desktop from within an App

Returning to the Apps desktop from within an AppReturning to the Apps desktop from within an App

Press O. The icons for the last Apps category selected appear on the Apps desktop with the icon for the last App opened highlighted.

You can also return to the Apps desktop by pressing 2K in full-screen mode. In split-screen mode, press 2K twice.

To return to the last open App from the Apps desktop, press 2a.

Selecting an Apps category

Selecting an Apps categorySelecting an Apps category

On the TI-89 Titanium, the Apps category names appear only in the an Apps category, press ƒ

2:Select Category and use the cursor keys to highlight an

F1 Menu. To select

Apps category, and then press ¸ to select the highlighted category. You can also use the function key shortcuts to select a category from the keypad (use the 2 key if necessary). The App icons for the selected category appear on the Apps desktop.

The App icons for the selected category appear on the Apps desktop.

Key Description

„ All

… English

† SocialSt

‡ Math

Getting Started 31

Icons for all installed Apps displayed. Not customizable.

Customizable category. English is the default.

Customizable category. SocialSt (social studies) is the default.

Customizable category. Math is the default.

Key Description

2 ˆ

Graphing

Customizable category. Graphing is the default.

2 ‰ Science

2 Š Organizr

Customizable category. Science is the default.

Customizable category. Organizr (organizer) is the default.

Example: Select the All category.

Press Result

„

If you select an Apps category containing no Apps, a message appears to confirm that the category is empty and point you to the ƒ add App shortcuts to the category. (See “Customizing the Apps

1:Edit Categories menu, where you can

categories” on page 33.)

Press ¸ or N to clear the message and return to the Apps desktop.

Getting Started 32

Customizing the Apps

Customizing the Apps categories

Customizing the Apps Customizing the Apps

Checking status information

Checking status informationChecking status information

Look to the status line, located at the bottom of the screen, for information about the current state of your TI-89 Titanium.

ÊË

Indicator Meaning

Ê Current folder

Ë Modifier key Selected modifier key (2, 8, 7), if any.

Ì Angle mode

Í Exact/Approx mode

Î Graph number

Ï Graph mode

Getting Started 38

Name of the selected folder (MAIN is the default folder.)

Selected units in which angle values are displayed and interpreted (RAD, DEG, GRAD)

Mode in which answers are calculated and displayed (AUTO, EXACT, APPROX)

Active of two independent graphs in splitscreen mode (GR#1, GR#2)

Selected type of graph that can be plotted (FUNC, PAR, POL, SEQ, 3D, DE)

Indicator Meaning

Entry/Answer pairs

Ñ Replace batteries

22/30–Number of entry/answer pairs (default is 30, maximum is 99) in the history area of the calculator Home screen.

Displayed when batteries are low (BATT). If BATT is highlighted with a black background, change the batteries as soon as possible

().

Ò Busy/Pause,

Locked/Archived variable

Turning off the Apps desktop

Turning off the Apps desktopTurning off the Apps desktop

BUSY–Calculation or graph is in progress PAUSE–You paused a graph or program

Œ–Variable opened in the current editor is

locked or archived and cannot be modified

You can turn off the Apps desktop from the MODE dialog box. If you do, open Apps from the APPLICATIONS menu. To open the APPLICATIONS menu, press O.

Example: Turn off the Apps desktop.

Press Result

Getting Started 39

Press Result

…

DDBC

¸¸

Note: The previous open App

appears (in this example, the calculator Home screen).

To turn on the Apps desktop, repeat the procedure, selecting ON in the Apps Desktop mode field. To return to the Apps desktop from the calculator Home screen, press O.

Using the clock

Using the clock Using the clock

Use the CLOCK dialog box to set the time and date, select the clock display format, and turn the clock off and on.

Getting Started 40

The clock is turned on by default. If you turn off the clock, all Clock dialog box options except Clock ON/OFF are grayed out.

6 indicates you

can scroll down for more options)

Displaying the CLOCK dialog box

Displaying the CLOCK dialog boxDisplaying the CLOCK dialog box

1. Use the cursor keys to highlight the Clock icon on the Apps desktop.

2. Press ¸. The CLOCK dialog box appears with the Time Format field highlighted.

Note: Because the CLOCK dialog box displays the settings current at the time you open

the dialog box, you might need to update the time before exiting.

Setting the time

Setting the timeSetting the time

1. Press B to open the list of time formats.

2. Press C or D to highlight an option, then press ¸. The selected format appears

in the Time Format field.

3. Press D to highlight the Hour field.

4. Type the hour, then press D to highlight the Minute field.

5. Type the minute(s).

Getting Started 41

6. If the time format is 24 hours, proceed to step 9.

— or — If the time format is 12 hours, press D to highlight the AM/PM field.

7. Press B to open the list of AM/PM options.

8. Press C or D to highlight an AM/PM option, then press ¸. The selected AM/PM

option appears.

9. Set the date (for procedures, see Setting the date).

— or — To save your settings and exit, press ¸. The time is updated in the top right

corner of the Apps desktop.

Setting the date

Setting the dateSetting the date

1. Press C or D as required to highlight the Date Format field.

2. Press B to open the list of date formats.

3. Press C or D to highlight an option, then press ¸. The selected format appears

in the Date Format field.

4. Press D to highlight the Year field.

5. Type the year, then press D to highlight the Month field.

6. Press B to open the list of months.

7. Press C or D to highlight an option, then press ¸. The selected month appears

in the Month field.

8. Press D to highlight the Day field.

Getting Started 42

9. Type the day, then press ¸ ¸ to save your settings and exit. The date is

updated in the top right corner of the Apps desktop.

Example: Set the time and date to 19/10/02 (October 19, 2002) at 1:30 p.m.

Press Result

Use cursor keys to highlight

1 D

Time and date

Getting Started 43

Press Result

30 D

¸D

Getting Started 44

Press Result

¸D

2002

Getting Started 45

Press Result

Scroll down to October

and press ¸

Getting Started 46

Press Result

¸¸

Turning off the clock

Turning off the clockTurning off the clock

Revised time and date

From the Apps desktop, open the CLOCK dialog box and select OFF in the Clock field.

Example: Turn off the clock.

Press Result

Use cursor keys to highlight

Clock on

Getting Started 47

Press Result

Scroll down to the Clock field.

BC ¸

Clock off

To turn on the clock, repeat the procedure, selecting ON in the Clock field. Remember to reset the time and date.

Getting Started 48

Using menus

Using menusUsing menus

To select most TI-89 Titanium menus, press the function keys corresponding to the toolbars at the top of the calculator Home screen and most App screens. Select other menus using key commands.

Toolbar menus

Toolbar menusToolbar menus

The starting point for TI-89 Titanium math operations, the calculator Home screen displays toolbar menus that let you choose math-related options.

Toolbar menus also appear at the top of most App screens. These menus list common functions of the active App.

Other menus

Other menusOther menus

Use key commands to select the following menus. These menus contain the same options regardless of the screen displayed or the active App.

Press To display

Getting Started 49

CHAR menu. Lists characters not available on the keyboard; characters are organized by category (Greek, math, punctuation, special, and international).

MATH menu. Lists math operations by category.

Press To display

Selecting menu options

Selecting menu optionsSelecting menu options

APPLICATIONS menu. Lists the installed Apps. (Menu is available only when the Apps desktop is turned off; Apps are normally accessed from the Apps desktop.)

FLASH APPLICATIONS menu. Lists the installed Flash Apps. (Menu is available only when Apps desktop is turned off; Flash Apps are normally accessed from the Apps desktop.)

• Press the number or letter to the left of the option you want to select.

— or —

• Press C or D to select the option, and press ¸.

Note: If the first menu option is selected, press C to select the last option on the menu. If

the last menu option is selected, press D to select the first option on the menu.

Getting Started 50

Example: Select factor( from the Algebra menu on the calculator Home screen.

Press Result

Press:

– or –

From the Apps desktop, use the

cursor keys to highlight

and press ¸

„

– or –

6 indicates

Algebra menu will open when you press

„.

D¸

Getting Started 51

Selecting submenu options

Selecting submenu optionsSelecting submenu options

A small arrow symbol (ú) to the right of a menu option indicates that selecting the option will open a submenu.

$ points to

additional options.

Example: Select

Press Result

ord( from the MATH menu on the calculator Home screen.

Getting Started 52

Press Result

– or –

CCB

– or –

C¸

Using dialog boxes

Using dialog boxesUsing dialog boxes

An ellipsis (…) at the end of a menu option indicates that choosing the option will open a dialog box. Select the option and press ¸.

Getting Started 53

Example: Open the SAVE COPY AS dialog box from the Window Editor.

Press Result

Use the cursor keys to highlight

and press ¸

– or –

D¸

Getting Started 54

Press B to display a list of folders.

Press

Type the name of the variable.

¸ twice to save and

Note: Pressing the 8 S key shortcut also opens the SAVE COPY AS dialog box in most

Apps.

Canceling a menu

Canceling a menuCanceling a menu

To cancel a menu without making a selection, press N.

Moving among toolbar menus

Moving among toolbar menusMoving among toolbar menus

To move among the toolbar menus without selecting a menu option:

• Press the function key (ƒ through Š) of a toolbar menu.

• Press a function key, then press B or A to move from one toolbar menu to the next.

Press B from the last menu to move to the first menu. Press A to move from the first menu to the last menu.

Note: If you press B when a menu option with a submenu is selected, the submenu will

appear instead of the next toolbar menu. Press B again to move to the next menu.

More information is available about menus. (See the electronic Operating the Calculator chapter.)

Custom menu

Custom menuCustom menu

The custom menu provides quick access to your most commonly used options. Use the default custom menu or create your own using the Program Editor. You can include any available TI-89 Titanium command or character.

Getting Started 55

The custom menu replaces the standard toolbar menu on the calculator Home screen. (For details on creating a custom menu, see the electronic Programming chapter.) More information is available about custom menus. (See the electronic Operating the Calculator chapter.)

Example: Turn on and turn off the custom menu from the calculator Home screen.

Press Result

Default custom menu

Normal toolbar menu

Example: Restore the default custom menu.

Getting Started 56

Note: Restoring the default custom menu erases the previous custom menu. If you

created the previous custom menu with a program, you can run the program again to reuse the menu.

Press Result

(to turn off the custom menu and

turn on the standard toolbar

menu)

2 ˆ

– or –

DD¸

Getting Started 57

Press Result

Opening Apps with the Apps desktop turned off

Opening Apps with the Apps desktop turned offOpening Apps with the Apps desktop turned off

If you turn off the Apps desktop, use the APPLICATIONS menu to open Apps. To open the APPLICATIONS menu with the Apps desktop off, press O.

Note: If you press O with the Apps desktop turned on, the Apps desktop will appear

instead of the APPLICATIONS menu.

Example: With the Apps desktop turned off, open the Window Editor from the APPLICATIONS menu.

Press Result

Getting Started 58

Press Result

– or –

DD¸

To access Apps not listed on the APPLICATIONS menu, select 1:FlashApps.

Using split screens

Using split screensUsing split screens

The TI-89 Titanium lets you split the screen to show two Apps at the same time. For example, display both the Y= Editor and Graph screens to compare the list of functions and how they are graphed.

Setting split-screen mode

Setting split-screen modeSetting split-screen mode

You can split the screen either top to bottom or left to right from the MODE dialog box. The split-screen setting stays in effect until you change it.

1. Press 3 to display the MODE dialog box.

2. Press „ to display the Split Screen mode setting.

3. Press B to open the Split Screen mode menu.

4. Press D as required to highlight either TOP-BOTTOM or LEFT-RIGHT.

5. Press ¸. The Split Screen mode setting displays the option you selected.

6. Press ¸ again to save this change and display the split screen.

Getting Started 59

Example: Set split-screen mode to TOP-BOTTOM.

Press Result

„

Getting Started 60

Press Result

Setting the initial Apps for split screen

Setting the initial Apps for split screenSetting the initial Apps for split screen

After you select either TOP-BOTTOM or LEFT-RIGHT split-screen mode, additional mode settings become available.

Full-screen mode Split-screen mode

Getting Started 61

Mode Description

Split 2 App Lets you specify the App displayed in the bottom or

right portion of the split screen. Works together with Split 1 App, which lets you specify the App displayed in the top or left portion of the split screen.

Number of Graphs Lets you set up and display two independent graphs.

To set the initial App for each split-screen portion:

1. Select the Split 1 App mode setting and press B to display a menu of available

Apps. (See “Setting split-screen mode

” on page 59.)

2. Press D or C to highlight the App and press ¸.

3. Repeat steps 1 and 2 for the Split 2 App mode setting.

Example: Display the Y= Editor in the top screen and the Graph App in the bottom screen.

Press Result

Getting Started 62

Press Result

Getting Started 63

If you set Split 1 App and Split 2 App to the same nongraphing App or to the same graphing App with Number of Graphs set to 1, the TI-89 Titanium exits split-screen mode and displays the App in full-screen mode.

Selecting the active App

Selecting the active App Selecting the active App

In split-screen mode, only one App can be active at a time.

• To switch between active Apps, press 2a.

• To open a third App, press O and select the App. This App replaces the active

split-screen App.

Exiting split-screen mode

Exiting split-screen modeExiting split-screen mode

Exit split-screen mode in any of the following ways:

• Press 2 K to close the active App and display the full-screen view of the other

open App.

• If the Apps desktop is turned off, pressing 2 K replaces the active split-screen

App with the calculator Home screen. Pressing 2K again turns off the split- screen mode and displays the calculator Home screen in full-screen mode.

• Select Split Screen on Page 2 of the MODE dialog box, set split-screen mode to

FULL, and press ¸.

• Press 2 K twice to display the Apps desktop

More information is available about using split screens. (See the electronic Split Screens chapter.)

Getting Started 64

Managing Apps and operating system (OS) versions

Managing Apps and operating system (OS) versionsManaging Apps and operating system (OS) versions

Using the TI-89 Titanium connectivity features, you can download Apps from:

• The TI Educational & Productivity Solutions (E&PS) Web site at:

education.ti.com/latest

• The CD-ROM included with your TI-89 Titanium.

• A compatible graphing calculator.

Adding Apps to your TI-89 Titanium is like loading software on a computer. All you need is TI Connect software and the USB computer cable that came with your TI-89 Titanium.

For system requirements and instructions to link to compatible calculators and download TI Connect software, Apps, and OS versions, see the TI E&PS Web site.

Before downloading Apps to your TI-89 Titanium, please read the license agreement on the CD-ROM or TI Web site.

Finding the OS version and identification (ID) numbers

Finding the OS version and identification (ID) numbers Finding the OS version and identification (ID) numbers

If you purchase software from the TI E&PS Web site or call the customer support number, you will be asked to provide information about your TI-89 Titanium. You will find this information on the ABOUT screen.

Getting Started 65

To display the ABOUT screen, press ƒ 3:About from the Apps desktop. The ABOUT screen displays the following information about your TI-89 Titanium:

Ê OS version

Ë Hardware version

Ì Unit ID (required to obtain certificates for installing purchased Apps). Similar to a serial

number. Write this number down and keep it in a safe place in case the calculator is ever lost or stolen.

Í Apps certificate revision number (Cert. Rev.)

Î Product identifier (Product ID). Similar to a model number.

Note that your screen will be different than the one shown above.

Getting Started 66

Deleting an Application

Deleting an ApplicationDeleting an Application

Deleting an application removes it from the TI-89 Titanium and increases space for other applications. Before deleting an application, consider storing it on a computer for reinstallation later.

1. Quit the application.

2. Press 2° to display the VAR-LINK (All) screen.

3. Press 2 ‰ to display the list of installed applications.

4. Select the application you want to delete by pressing †. (Press † again to

deselect.)

5. Press ƒ

6. Press ¸ to delete the application.

Note: Only Flash Apps can be deleted.

Connecting your

Connecting your TI-89 Titanium

Connecting your Connecting your

The TI-89 Titanium includes both a mini-USB port and a standard I/O port. Ports are used to link two compatible graphing calculators or connect to a computer or peripheral device.

1:Delete. The VAR-LINK delete confirmation dialog box displays.

TI-89 Titanium to other devices

TI-89 TitaniumTI-89 Titanium

to other devices

to other devices to other devices

In addition, the teacher model of the TI-89 Titanium includes an accessory port. This port is used to output visual data so that a classroom can view the calculator’s display on a video device or overhead screen.

To connect your calculator to a computer – Connect your TI-89 Titanium using the USB port and the included USB computer cable.

Getting Started 67

To connect your calculator to another calculator – Use the USB unit-to-unit cable or an I/O unit-to-unit cable to connect the TI-89 Titanium to a compatible graphing calculator or peripheral device, such as a TI-89 or TI-92 Plus graphing calculator or the CBL 2™ and CBR™ systems.

To show your calculator’s display to the classroom – Use the accessory port to connect the TI-Presenter™ video adapter to the teacher model of the TI-89 Titanium. The TI-Presenter video adapter provides a video interface between the calculator and video display or recording devices. Or use the accessory port to connect the TI ViewScreen overhead panel to your calculator. The TI ViewScreen overhead panel enlarges and projects the display so an entire class can view it. For more information about the TI-Presenter video adapter and TI ViewScreen panel, see the TI E&PS Web site at education.ti.com

I/O portUSB port

TI-89 Titanium ports

Getting Started 68

I/O portUSB port

Accessory port

TI-89 Titanium ports (teacher model)

Batteries

BatteriesBatteries

The TI-89 Titanium uses four AAA alkaline batteries and a backup silver oxide battery (SR44SW or 303). The backup battery is already installed, and the AAA batteries are provided with your product.

Important OS download information

Important OS download informationImportant OS download information

New batteries should be installed before beginning an OS download.

When in OS download mode, the APD feature does not function. If you leave your calculator in download mode for an extended time before you actually start the download, your batteries may become depleted. You will then need to replace the depleted batteries with new batteries before downloading.

Getting Started 69

You can also transfer the OS to another TI-89 Titanium using a USB unit-to-unit cable . If you accidentally interrupt the transfer before it is complete, you will need to reinstall the OS via a computer. Again, remember to install new batteries before downloading.

Please contact Texas Instruments as described in Service & Support Information, if you experience a problem.

Battery Precautions

Battery PrecautionsBattery Precautions

Take these precautions when replacing batteries:

• Do not leave batteries within the reach of children.

• Do not mix new and used batteries. Do not mix brands (or types within brands) of

batteries.

• Do not mix rechargeable and non-rechargeable batteries.

• Install batteries according to polarity (+ and –) diagrams.

• Do not place non-rechargeable batteries in a battery recharger.

• Properly dispose of used batteries immediately.

• Do not incinerate or dismantle batteries.

Installing the AAA Batteries

Installing the AAA BatteriesInstalling the AAA Batteries

1. Remove the battery cover from the back of the calculator.

2. Unwrap the four AAA batteries provided with your product and insert them in the

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

Getting Started 70

3. Replace the battery cover on the calculator. The cover should snap into place.

Replacing the AAA (alkaline) batteries

Replacing the AAA (alkaline) batteriesReplacing the AAA (alkaline) batteries

As the batteries lose power, the display begins to dim, especially during calculations. If you find yourself increasing the contrast frequently, replace the AAA alkaline batteries.

The status line also gives battery information.

Indicator Meaning

Batteries are low.

Replace batteries as soon as possible.

Before replacing the batteries, turn off the TI-89 Titanium by pressing 2® to avoid losing information stored in memory. Do not remove both the back-up battery and the AAA alkaline batteries at the same time.

Getting Started 71

Replacing the backup (silver oxide) battery

Replacing the backup (silver oxide) batteryReplacing the backup (silver oxide) battery

1. To replace the silver oxide backup battery, remove the battery cover and unscrew

the tiny screw holding the BACK UP BATTERY cover in place.

2. Remove the old battery and install a new SR44SW or 303 battery, positive (+) side

up. Replace the cover and the screw.

Getting Started 72

Previews

PreviewsPreviews

Performing Computations

Performing ComputationsPerforming Computations

This section provides several examples for you to perform from the Calculator Home screen that demonstrate some of the computational features of the TI-89 Titanium. The history area in each screen was cleared by pressing ƒ and selecting before performing each example, to illustrate only the results of the example’s keystrokes.

Showing Computations

Showing ComputationsShowing Computations

Steps and keystrokes Display

Compute sin(p/4) and display the result in symbolic and numeric format. To clear the history area of previous calculations, press ƒ and select

Press 2 W 2 T e 4 d ¸ 8 ‘

8:Clear Home.

8:Clear Home,

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Finding the Factorial of Numbers

Finding the Factorial of NumbersFinding the Factorial of Numbers

Steps and keystrokes Display

Compute the factorial of several numbers to see how the TI-89 Titanium handles very large integers. To get the factorial operator (!), press 2I, select select

1:!.

7:Probability, and then

Press 5 2 I 7 1 ¸ 20 2 I 7 1 ¸ 30 2 I 7 1 ¸

Expanding Complex Numbers

Expanding Complex NumbersExpanding Complex Numbers

Steps and keystrokes Display

Compute (3+5i)3 to see how the TI-89 Titanium handles computations involving complex numbers.

Press c 3 « 5 2 ) d Z 3 ¸

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Finding Prime Factors

Finding Prime FactorsFinding Prime Factors

Steps and keystrokes Display

Compute the factors of the rational number

2634492. You can enter “factor” on the entry line by typing pressing „ and selecting

FACTOR on the keyboard, or by

2:factor(.

Press „ 2 2634492 d ¸

(Optional) Enter other numbers on your own.

Finding Roots

Finding RootsFinding Roots

Steps and keystrokes Display

Find the root of the expression (x,y). You can enter “root” on the entry line by typing

ROOT

on the keyboard, or by pressing 8 9.

This example illustrates using the root function and how the expression is displayed in “pretty print” in the history area.

Press 8 9 X b Y d ¸

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Expanding Expressions

Expanding ExpressionsExpanding Expressions

Steps and keystrokes Display

Expand the expression (xN5)3. You can enter “expand” on the entry line by typing

EXPAND

on the keyboard, or by pressing „ and selecting

3:expand(.

Press „ 3 c X | 5 d Z 3 d ¸

(Optional) Enter other expressions on your own.

Reducing Expressions

Reducing ExpressionsReducing Expressions

Steps and keystrokes Display

Reduce the expression (x2N2xN5)/(xN1) to its simplest form. You can enter “propFrac” on the entry line by typing

PROPFRAC on the

keyboard, or by pressing „ and selecting

7:propFrac(.

Press „ 7 c X Z 2 | 2 X | 5 d e c X | 1 d d ¸

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Factoring Polynomials

Factoring PolynomialsFactoring Polynomials

Steps and keystrokes Display

Factor the polynomial (x2N5) with respect to x. You can enter “factor” on the entry line by typing

FACTOR on the keyboard or by

pressing „ and selecting

2:factor(.

Press „ 2 X Z 2 | 5 b X d ¸

Solving Equations

Solving EquationsSolving Equations

Steps and keystrokes Display

Solve the equation x2N2xN6=2 with respect to x.

You can enter “ selecting “ typing

SOLVE( on the keyboard, or by

pressing „ and selecting

solve(” on the entry line by

solve(” from the Catalog menu, by

1:solve(.

The status line area shows the required syntax for the marked item in the

Catalog

menu.

Press „ 1 X Z 2 | 2 X | 6 Á 2 b X d

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Solving Equations with a Domain Constraint

Solving Equations with a Domain ConstraintSolving Equations with a Domain Constraint

Steps and keystrokes Display

Solve the equation x2N2xN6=2 with respect to x where x is greater than zero. The “with” (I) operator provides domain constraint.

Press „ 1 X Z 2 | 2 X | 6 Á 2 b X d Í X 2 Ã 0 ¸

Solving Inequalities

Solving InequalitiesSolving Inequalities

Steps and keystrokes Display

Solve the inequality (x2>1,x) with respect to x.

Press „ 1XZ 2 2Ã1 d¸

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Finding the Derivative of Functions

Finding the Derivative of FunctionsFinding the Derivative of Functions

Steps and keystrokes Display

Find the derivative of (xNy)3/(x+y)2 with respect to x.

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

Press 2 = c X | Y d Z 3 e c X « Y d Z 2 b X d ¸

Finding Implicit Derivatives

Finding Implicit DerivativesFinding Implicit Derivatives

Steps and keystrokes Display

Compute implicit derivatives for equations in two variables in which one variable is defined implicitly in terms of another.

This example illustrates using the calculus implicit derivative function.

Press … D X Z 2 « Y Z 2 Á 100 bX b Y

d ¸

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Finding the Integral of Functions

Finding the Integral of FunctionsFinding the Integral of Functions

Steps and keystrokes Display

Find the integral of x…sin(x) with respect to x.

This example illustrates using the calculus integration function.

Press 2 < X p 2 W X d b X d ¸

Solving Problems Involving Vectors

Solving Problems Involving VectorsSolving Problems Involving Vectors

Steps and keystrokes Display

1. Input a row or column of vectors.

Press 2 g ? 6 b 0 b 0 2 h §

j d ¸2 g 4 b 0 b 2 2 h § j a ¸2 g ? 1 b 2 b 1 2 h § j b ¸2 g

7 b 6 b 5 2 h § j c ¸

2. Solve (x* a+y*b+z*c=d {x,y,z})

Press „ 1 X p j a « y p j b « z

p j c Á j d b 2 [ X b Y b Z 2 \ d ¸

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Log to Any Base

Log to Any BaseLog to Any Base

Steps and keystrokes Display

Find log (x,b). You can enter “log” on the entry line by typing

LOG on the keyboard, or by

pressing 8 7.

Press

8 7 X , j b d ¸

Converting Angle Measures

Converting Angle MeasuresConverting Angle Measures

Steps and keystrokes Display

1. Display the MODE dialog box. For Angle

mode select

DEGREE. Convert 345

degrees to Gradian angle measure. You can enter “ ú

by selecting “ ú

Grad ” on the entry line

Grad ” from the Catalog

menu, or from the Math menu by pressing 2 I and selecting

2:angle, A:úGrad.

Press 3 D D D B 2 ¸ 345 2

v 2 I 2 j A ¸

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Steps and keystrokes Display

2. Convert 345 degrees to Radian angle

measure. You can enter “ ú

selecting “ ú or from the Math menu by pressing 2 I and selecting

Press 3 D D D B 2 ¸ 345 2 v 2 I 2 j B ¸

Note: You can also use ó,ô, or

override the angle mode setting temporarily.

Symbolic Manipulation

Symbolic ManipulationSymbolic Manipulation

Solve the system of equations 2x N 3y = 4 and Lx + 7y = L12. Solve the first equation so that x is expressed in terms of y. Substitute the expression for x into the second

Rad ” on the entry line by

Rad ” from the Catalog menu,

2:angle, B:úRad.

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equation, and solve for the value of y. Then substitute the y value back into the first equation to solve for the value of x.

Steps and keystrokes Display

1. Display the Home screen and clear the

entry line. Solve the equation 2x N 3y = 4 for x.

„

1 selects solve( from the Algebra

menu. You can also type

solve( directly

from the keyboard or select it from the

Catalog.

Press " M M „ 1 2 X | 3 Y Á 4 b X d ¸

2. Begin to solve the equation Lx+7y=L12

for y, but do not press ¸ yet. Press „ 1 ? X « 7 Y Á ? 12 b Y d

3. Use the “with” operator to substitute the

expression for x that was calculated from the first equation. This gives the value of y.

The “with” operator is displayed as | on the screen.

Use the auto-paste feature to highlight the last answer in the history area and paste it to the entry line.

Press Í C ¸ ¸

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Steps and keystrokes Display

4. Highlight the equation for x in the history

area. Press C C C

5. Auto-paste the highlighted expression to

the entry line. Then substitute the value of y that was calculated from the second equation.

Press ¸ Í C ¸ ¸ The solution is:

x = L8/11 and y = L20/11

This example is a demonstration of symbolic manipulation. A one-step function is available for solving systems of equations.

Constants and Measurement Units

Constants and Measurement UnitsConstants and Measurement Units

Using the equation f = m…a, calculate the force when m = 5 kilograms and a = 20

meters/second

. What is the force when a = 9.8 meters/second2. (This is the

Previews 84

acceleration due to gravity, which is a constant named _g). Convert the result from newtons to kilograms of force.

Steps and keystrokes Display

1. Display the MODE dialog box, Page 3. For

Unit System mode, select SI for the metric

system of measurements. Results are displayed according to these

default units. Press 3 … B 1 ¸

2. Create an acceleration unit for

meters/second The

UNITS dialog box lets you select units

named _ms2.

from an alphabetical list of categories. You can use 2D and 2C to scroll one page at a time through the categories.

If you use the

UNITS dialog box to select a

unit, the _ is entered automatically. Now,

instead of re-entering _m/_s

each time

you need it, you can use _ms2. Also, you can now use the

UNITS dialog box to

select _ms2 from the Acceleration category.

Press 2 À D B M ¸ e 2

À D D D D B S ¸ Z 2 9 8 5 2 ™ MS j 2 ¸

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Steps and keystrokes Display

3. Calculate the force when

m = 5 kilograms (_kg) and a = 20 meters/second

If you know the abbreviation for a unit, you can type it from the keyboard.

Press 5 8 5 2 ™ KG j p 20 8 5 2 ™ MS j 2 ¸

4. Using the same m, calculate the force for

an acceleration due to gravity (the constant _g).

For _g, you can use the pre-defined constant available from the box or you can type _g.

Press 5 8 5 2 ™ KG j p 2 À B j G ¸ ¸

5. Convert to kilograms of force (_kgf).

2 4 displays the 4 conversion operator. Press B 2 4 8 5 2 ™ KGF

j ¸

(_ms2).

UNITS dialog

Basic Function Graphing I

Basic Function Graphing I Basic Function Graphing I

The example in this section demonstrates some of the graphing capabilities of the TI-89 Titanium keystrokes. It illustrates how to graph a function using the

Previews 86

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-89 Titanium by graphing the function

y=(|x

N3|N10)/2.

Steps and keystrokes Display

1. Display the Y= Editor.

Press 8 #

entry line

2. Enter the function

(abs(x

N3)N10)/2.

The screen shot shows the “pretty print” display at

y1=.

Press c ½ A ¸ X Z 2 | 3 d | 1 0 d e 2 ¸

3. Display the graph of the function.

Select moving the cursor to

6:ZoomStd by pressing 6 or by

6:ZoomStd and

pressing ¸. Press „ 6

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Steps and keystrokes Display

4. Turn on Trace.

The tracing cursor, and the x and y coordinates are displayed.

Press …

tracing cursor

5. Open the

3:Minimum.

MATH menu and select

Press ‡ D D ¸

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 ¸ the second time.

Press B ... B ¸

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.

Press B ... B

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Steps and keystrokes Display

8. Find the minimum point on the graph

between the lower and upper bounds. Press ¸

minimum point

minimum coordinates

9. Transfer the result to the Home screen,

and then display the Home screen. Press 8 ? "

Basic Function Graphing II

Basic Function Graphing II Basic Function Graphing II

Graph a circle of radius 5, centered on the origin of the coordinate system. View the circle using the standard viewing window ( viewing window.

Steps and keystrokes Display

ZoomStd). Then use ZoomSqr to adjust the

1. Display the MODE dialog box. For Graph

mode, select Press 3 B 1 ¸

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FUNCTION.

Steps and keystrokes Display

2. Display the Home screen. Then store the

radius, 5, in variable r.

5!r

Press " 5 9 j R ¸

3. Display and clear the

define y1(x) = , the top half of

Y= Editor. Then

r2x

–()

a circle. In function graphing, you must define

separate functions for the top and bottom halves of a circle.

Press 8 # , 8 ¸ ¸ 2 ] j R Z 2 | X Z 2 d ¸

4. Define y2(x) = , the function for

r2x2––

the bottom half of the circle. The bottom half is the negative of the top

half, so you can define y2(x) = Ly1(x). Use the full function name

y1(x), not

simply y1. Press ¸ ? Y 1 c X d ¸

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Steps and keystrokes Display

5. Select the

ZoomStd viewing window,

which automatically graphs the functions.

In the standard viewing window, both the x and y axes range from L10 to 10. However, this range is spread over a longer distance along the x axis than the

Notice slight gap between top and bottom halves.

y axis. Therefore, the circle appears as an ellipse.

Press „ 6

6. Select

ZoomSqr increases the range along the

ZoomSqr.

x axis so that circles and squares are shown in correct proportion.

Press „ 5

Note: There is a gap between the top and bottom halves of the circle because each half

is a separate function. The mathematical endpoints of each half are (L5,0) and (5,0). Depending on the viewing window, however, the plotted endpoints for each half may be slightly different from their mathematical endpoints.

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Basic Function Graphing III

Basic Function Graphing IIIBasic Function Graphing III

Use the “Detect Discontinuities” graph format to eliminate faux asymptotes and connections in a jump discontinuity.

Steps and keystrokes Display

1. Display the MODE dialog box. For Graph

mode, select select

Press 3 B 1 D D D B 1 ¸

2. Open the Y= Editor and enter y1(x)=1/(x-

1). Press 8 # 1 e c X | 1 d ¸

3. Display the Graph Formats dialog box

and set “Detect Discontinuities” to OFF

Note: The second item on the Graph

Format dialog is not greyed out, which means it can be set to sequential “Seq” or simultaneous “Simul”.

FUNCTION. For Angle mode,

RADIAN.

Press 8 Í D D D D D D B 1 ¸q

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Steps and keystrokes Display

4. Execute the Graph command, which

automatically displays the Graph screen. Observe the “faux” asymptotes contained in the graph.

Press 8 %q

5. Display the Graph Formats dialog box

and set “Detect Discontinuities” to ON.

Note: The second item on the Graph

Format dialog is greyed out, which means the graph order is set to sequential “Seq”.

Press 8 Í D D D D D D B 2 ¸

6. Execute the

Graph command, which

automatically displays the Graph screen. No”faux” asymptotes are present on the graph.

Note: Graphing speed may slow

considerably when “Detect Discontinuities” is set to ON.

Press 8 %(q

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Parametric Graphing

Parametric GraphingParametric Graphing

Graph the parametric equations describing the path of a ball kicked at an angle (q) of 60¡ with an initial velocity (v Ignoring air resistance and other drag forces, what is the maximum height of the ball and

when does it hit the ground?

Steps and keystrokes Display

1. Display the MODE dialog box. For Graph

mode, select Press 3 B 2 ¸

PAR AMETRIC.

) of 15 meters/sec. The gravity constant g = 9.8 meters/sec2.

2. Display and clear the

define the horizontal component xt1(t) = v

Enter values for v

Press 8 # , 8 ¸ ¸ 15T p 2 X 60 2 “ d ¸

Type T p 2 X, not T 2 X. Enter a ¡ symbol by typing either 2“

or 2I2 1. This ensures a number is interpreted as degrees, regardless of the angle mode.

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t cos q.

Y= Editor. Then

and q.

xt1(t)=15t…cos(60¡)

Steps and keystrokes Display

3. Define the vertical component

yt1(t) = v

Enter values for v

tsinqN(g/2)t2.

, q, and g.

Press ¸ 15T p 2 W 60 2 “ d | c 9.8 e 2 d T Z 2 ¸

4. Display the

Window Editor. Enter

Window variables appropriate for this example.

You can press either D or ¸ to enter a value and move to the next variable.

Press 8 $ 0 D 3 D .02 D ? 2 D 25 D 5 D ? 2 D 10 D 5

5. Graph the parametric equations to model

the path of the ball. Press 8 %

6. Select

Trace. Then move the cursor

along the path to find the:

• y value at maximum height.

• t value where the ball hits the ground.

Press … B or A as necessary

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Polar Graphing

Polar Graphing Polar Graphing

The graph of the polar equation r1(q) = A sin Bq forms the shape of a rose. Graph the rose for A=8 and B=2.5. Then explore the appearance of the rose for other values of A and B.

Steps and keystrokes Display

1. Display the MODE dialog box. For Graph mode, select select

RADIAN.

Press 3 B 3 D D D B 1 ¸

POLAR. For Angle mode,

2. Display and clear the define the polar equation r1(q)=Asin Bq.

Enter 8 and 2.5 for A and B, respectively. Press 8 # , 8 ¸ ¸ 8 2 W

2.5 8 Ï d ¸

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Y= Editor. Then

Steps and keystrokes Display

3. Select the ZoomStd viewing window, which graphs the equation.

• The graph shows only five rose

petals.

- In the standard viewing window, the Window variable qmax = 2p. The remaining petals have q values greater than 2p.

• The rose does not appear symmetrical.

- Both the x an y axes range from

L10 to 10. However, this range is spread over a longer distance along the x axis than the y axis.

Press „ 6

4. Display the

Window Editor, and change

qmax to 4p. 4p will be evaluated to a number when

you leave the

Window Editor.

Press 8 $ D 4 2 T

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Steps and keystrokes Display

5. Select

ZoomSqr, which regraphs the

equation.

ZoomSqr increases the range along the

x axis so that the graph is shown in correct proportion.

Press „ 5

You can change values for A and B as necessary and regraph the equation.

Sequence Graphing

Sequence Graphing Sequence Graphing

A small forest contains 4000 trees. Each year, 20% of the trees will be harvested (with 80% remaining) and 1000 new trees will be planted. Using a sequence, calculate the number of trees in the forest at the end of each year. Does it stabilize at a certain number?

Initially After 1 Year After 2 Years After 3 Years . . .

4000 .8 x 4000

+ 1000

.8 x (.8 x 4000 +

1000) + 1000

.8 x (.8 x (.8 x 4000 + 1000) +

1000) + 1000

. . .

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Steps and keystrokes Display

1. Display the MODE dialog box. For Graph mode, select

SEQUENCE.

Press 3 B 4 ¸

2. Display and clear the

Y= Editor. Then

define the sequence as u1(n) = iPart(.8…u1(nN1)+1000).

Use

iPart to take the integer part of the

result. No fractional trees are harvested. To access

iPart(, you can use 2I,

simply type it, or select it from the

CATALOG.

Press 8 # , 8 ¸ ¸ 2 I 1 4 . 8 j U1 c j N | 1 d « 1000 d ¸

3. Define ui1 as the initial value that will be used as the first term.

Press ¸ 4000 ¸

4. Display the

Window Editor. Set the n and

plot Window variables.

nmin=0 and nmax=50 evaluate the size of

the forest over 50 years. Press 8 $ 0 D 50 D 1 D 1 D

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Steps and keystrokes Display

5. Set the x and y Window variables to appropriate values for this example.

Press 0 D 50 D 10 D 0 D 6000 D 1000

6. Display the Graph screen. Press 8 %

7. Select

Trace. Move the cursor to trace

year by year. How many years (nc) does it take the number of trees (yc) to stabilize?

Trace begins at nc=0. nc is the number of years. xc = nc since n is plotted on the x axis. yc = u1(n), the number of trees at year n.

By default, sequences use the Square display style.

Press … B and A as necessary

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Texas Instruments TITANIUM TI-89 User Manual

Specifications and Main Features

Frequently Asked Questions

User Manual

TI-89 Titanium Graphing Calculator

Getting Started

Initial start-up

TI-89 Titanium keys

Mode settings

Using the Catalog to access commands

Calculator Home screen

Working with Apps

Checking status information

Turning off the Apps desktop

Using the clock

Using menus

Using split screens

Managing Apps and operating system (OS) versions

Batteries

Previews

Performing Computations

Symbolic Manipulation

Constants and Measurement Units

Basic Function Graphing I

Basic Function Graphing II

Basic Function Graphing III

Parametric Graphing

Polar Graphing

Sequence Graphing