Texas Instruments TI-89, TI-92 Plus Owner's Manual
TI-89 / TI-92 Plus
TI
Calculus Tools
Getting Started
What is the Calculus T ools Application?
Before You Begin
Starting the Calculus Tools Application
Calculus Tools Menus
F1:Tools F4:Seq
F2:Deriv F5:Vector
F3:Integ F6:Advanced
More Infor m a t ion
Calculus Tools Application Functions
8/10/01 © 2001 Texas Instruments
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Graphing product applications (Apps) are licensed. See the
terms of the
license agreementfor this product.
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All other trademarks are the property of their respective owners.
TI-89 / TI-92 Plus Calculus Tools Page 2
What is the Calculus Tools Application?
The Calculus Tools application (App) is a Concept software
application for the TI-89 / TI-92 Plus. Concept software
applications are calculator software application prototypes that
demonstrate a new concept area.
The Calculus Tools App extends the built-in power of your
TI-89 / TI-92 Plus by providing more specialized functionality.
Use the Calculus Tools App to investigate applications of
differentiation; compare numerical integration techniques; and
explore sequences, series, vector calculus, Fourier series, and
more.
The Calculus Tools App is based on programs written or
evaluated by CAS (Computer Algebra System) experts and
educators Bernhard Kutzler, Bhuvanesh Bhatt, David R.
Stoutemyer, Josef Böhm, Ray Barton, Ruth Dover, and
Wolfgang Pröpper. We appreciate their contributions and
evaluations.
Additional documentation for many of the Calculus Tools App
features can be found at series.bk-teachware.com
teaching and learning materials written for the TI-89 and
TI-92 Plus are also available at the Web site, including Exploring
Integration with the TI-89/92/92+ by Josef Böhm and Wolfgang
Pröpper.
TI-89 / TI-92 Plus Calculus Tools Page 3
. Other
Before You Begin
Concept applications are shared with our customers, educators,
and students before product definition and testing is complete.
These applications may contain software imperfections and/or
incomplete coding areas. They are "alpha" software versions.
TI invites feedback from teachers and students concerning the
functionality and educational value of the Calculus Tools App.
Please send your comments and questions to
concept@list.ti.com
Mode settings
The Calculus Tools App requires specific mode settings to run
correctly. If you try to access the application with incorrect mode
settings, this error dialog box will appear:
.
TI-89 / TI-92 Plus Calculus Tools Page 4
Before starting the Calculus Tools App, set modes to the
Mode
Setting
Graph
FUNCTION
Display Digits
FLOAT or FLOAT # (1 - 12)
Angle
RADIAN
Split Screen
FULL
Exact/Approx
AUTO or EXACT
Base
DEC
Language
ENGLISH
required values as follows:
1. From the Home screen, press
dialog box.
2. Ensure that the following modes are set as indicated:
3. Press
¸
MEMORY and VAR-LINK screens unavailable
The MEMORY and VAR-LINK screens, accessed by the
and
2 °
3
to display the MODE
. The Home screen displays.
2 ¯
keys, are unavailable for the Calculus Tools A pp.
TI-89 dialog boxes
The TI-89 Calculus Tools App dialog boxes default to alpha-lock.
Press
TI-89 / TI-92 Plus Calculus Tools Page 5
j
to turn alpha-lock off before entering numbers.
Using variables from the Main folder
Menu option
Variable defined as …
F2F3F4F5F6
Independent var
1 and 2;
4-7
4
Dependent var
4
Angle Parameter
7
Index var
1
Coordinate variables
All
Integration variables
5-8
Var n
2 and 3
x3All
Using variables from the Main folder places those stored values
in the Calculus Tools App functions. The Calculus Tools App,
however, clears the following types of variables for specified
functions. As a result, the data stored in these variables is lost.
Viewing answers in split screen
The Calculus Tools App uses a split screen view to display the
numerical and graphical representations of selected solutions.
For answers that are partially hidden when viewed in a split
•
screen, press
For answers that are too long to be viewed in a full screen,
•
use the Display Answer
You cannot switch back and forth between the split screen
•
portions.
to view the answer in full screen.
N
option.
TI-89 / TI-92 Plus Calculus Tools Page 6
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Access the Calculus Tools App menus using the F1 through F6
function keys. F1 menu options let you change the configuration
of what you see on the screen, such as viewing the complete
answer or data entered as a string, changing split screen
settings, and restoring window defaults.
F2 through F6 menu options let you access calculus operations
and are organized under the broad categories of derivatives,
integrals, sequences, vectors, and advanced functions.
Most F2 through F6 options access a problem-entry dialog box
that includes an example problem to help you get started. Work
through the example problem, or replace it as desired.
Dialog boxes for most F2 through F6 menu options revert to
default values after data is entered. Dialog boxes for the F3
menu options, however, display the values entered last.
This is the problem-entry dialog box for
TI-89 / TI-92 Plus Calculus Tools Page 7
1:Tangent Line
.
F1:Tools
Tip
You can also go to the Home screen, type
answer
, and
press
¸
. Scroll to see the complete answer displayed
in Pretty Print.
F1 1:Display ANSWER
Lets you view an answer that is too long to fit on the screen.
(Answers are displayed as a string.)
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F1 2:Display ENTERED
Tip
To run a Calculus Tools App function from the Home
screen, type
entered
and press
¸
. The last command
(function and instructions) executed appears.
Be sure to remove the quotes from the string before
executing the command.
Lets you view executed commands or functions as a string,
including the Calculus Tools App functions
entered from the problem-entry dialog box.
and operations
TI-89 / TI-92 Plus Calculus Tools Page 9
F1 3:Change Split Screen
Lets you choose between left-right (default) and top-bottom
split screens.
The TI-92 Plus lets you change the ratio of the split screen
views.
1:1 displays the answer and graph views at the same size.
•
1:2 displays the answer view at half the size of the graph
•
view.
2:1 displays the answer view at twice the size of the graph
•
view.
TI-89 / TI-92 Plus Calculus Tools Page 10
F1 4:Restore Window Defaults
Parameter
Default Value
xmin
-3.55102040816
xmax
3.55102040816
xscl
1
ymin
L
3
ymax
3
yscl
1
xres
2
F1 5:Special Thanks
F1 6:About
Restores the Calculus Tools App window parameters to
default values. Dialog boxes accessed using the F3 menu
options are also restored to default values.
Function Graph Window Parameters
Acknowledges some of the Calculus Tools App contributors.
Displays a variety of information about the application,
including the version number.
TI-89 / TI-92 Plus Calculus Tools Page 11
F2:Deriv
F2 1:Tangent Line
Displays the problem-entry dialog box for the tanLine(...)
function along with an example problem (page 35).
F2 2:Normal Line
Displays the problem-entry dialog box for the prpendic(...)
function along with an example problem (page 34).
TI-89 / TI-92 Plus Calculus Tools Page 12
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