Texas Instruments Titanium TI-89 User manual

Using a Scientific Calculator

•How much memory does the TI 89 have?
•The TI-89 has 188k of RAM and 384k of memory that
can be used for archiving programs, making a total
memory of 572k
•How large is the TI-89's screen?
•The TI-89's screen is 160x100 pixels
Hardware on the TI-89

•What type of processor does the TI-89 have?
•The TI-89, like the TI-92 and TI-92 Plus, uses a 68k
Motorola processor.
•The processors are 10 MHz.
•On TI-89 Titanium they are 12 MHz.
•You can double the speed of the TI-89 by over
clocking.
•Information about this is located at the TI-89
Acceleration Pages.
•Note: this is a risky process that could potentially
damage your calculator.
Hardware on the TI-89

•Step 1 Type in the number you wish to
convert. Then press the blue 2nd key
followed by the blue Units key (the #3 on
your keypad).
•Step 2 A list will pop up. Scroll down to
select the category for your unit, then use the
right arrow key and the down/up keys to
make your selection.
•Step 3 Here we wish to convert 3 ft to
meters. This is a unit of length, so the Length
category has been selected, and ft has been
chosen for our original unit. (Note, you may
also type in the unit if you know the
abbreviation).
•Step 4 To convert the units, press the 2nd
key again and then the convert key (the blue
triangle pointing to the right, above the Mode
key).
2nd Key
Units Key
Converter Key

•Step 1 Input a decimal you wish to see as a fraction such as:
.56
•Step 2 Hit MODE and scroll down to Exact/Approx and hit
Exact. The screen will come back to your home screen and the
number you wanted to change to fraction will be in the input
bar.
•Step 3 Hit enter and the screen should come up with
something like this: .56 4/25

•Step 1 Input fraction in home input bar.
•Step 2 Hit MODE and scroll down to Exact/Approx and hit
Approx. The screen will come back to your home screen and
the number you wanted to convert to decimal will be in the
input bar.
•Step 3 Hit enter and the screen will come up with:
14/ 25 .56

There are 3 different modes in the TI 89 calculator.
•The first one is Normal this means that:
34.2
+ 34.5
68.7
•The next selectable mode is Scientific. This means that:
34.2
+ 34.5
6.87e1
•The last mode is Engineering. This means that:
34.2
+ 34.5
68.7e0

•Step 1 Go into your MODE and scroll down until you reach
Exact/Approx and change it to Exact.
•Step 2 Type in what you would like to convert to binary such as 455 in
the address box at the bottom of the main screen.
•Step 3 Hit the blue 2nd and the number 5. This will take you to the
MATH menu.
•Step 4 Find the Base and hit the >. This will take you to another
screen.
•Step 5 Hit 4 for Binary. You will return to the home screen with the
number you wanted converted with a > Bin. It will appear as 455 >Bin.
•Step 6 Hit enter to display your decimal number in Binary format.

This function will allow you to solve for a specific variable. For
example, solve for: 3x^3-2x*y+3y=2
•Step 1 On your home screen press F2 and then press 1 or enter.
•Step 2 Enter in the equation after solve as:
solve(3x^3-2x*y+3y=2,y)
•Step 3 Press enter and it will solve for y.
You can also solve for a system of equations using the solve
function. For example: 3x-5y=4 and -2x+5y=6
•Step 1 On your home screen press F2 and then press 1 or enter .
•Step 2 Enter in the equation after solve as so: solve(3x-5y=4
and -2x+5y=6, {x,y}). *You can access the word and by
pressing 2ND , 5, 8, 8.
•Step 3 Press enter and it will solve for x and y.

Like the solve function, you can use the matrix function to solve
for a system of equations. For example:
3x-5y=4 and -2x+5y=6
•Step 1 Press 2nd 5(MATH), 4(Matrix), and then 5(simult).
•Step 2 Enter the coefficients as a matrix and the results as a
constant column matrix as so: simult([3,-5;-2,5],[4;6])
•Step 3 Press enter. The value for xon top and yon bottom.
Using the same equations, you can solve for x and y using the rref
function.
•Step 1 Press 2nd 5(MATH), 4(Matrix), and then 4(rref).
•Step 2 Enter an augmented matrix, this contains the variables x,
y, and c where c is the constant. It should look like this: rref([3,-
5,4;-2,5,6])
•Step 3 Press enter; xis on top, yis on bottom.

Factoring
Example: Factor x^2-6x+5
•Step 1 On your home screen press F2 and then press 2.
•Step 2 Enter in the expression as so: factor(x^2-6x+5).
•Step 3 Press enter. The solution comes up as two expressions.
Complex Factoring Example: x^2+1
•Step 1 On your home screen press F2 and then arrow down to
A:Complex. Arrow to the right and select 2:cFactor.
•Step 2 Enter in the expression as so: cFactor(x^2+1).
•Step 3 Press enter. The solution comes up as two expressions.

Working with Graphs Zoom Menu
Using ZoomBox
Start with a function that we can graph: X^3-(x/4)
•Step 1 To get to the “Y=” screen from the home screen, press F1 and
the “Y=“ screen will appear.
•Step 2 Enter in the function as : Y= X^3-(x/4)
•Step 3 Press F2 and then 4:ZoomDec. This will graph the function.
•Step 4 Press F2 and then 1:ZoomBox.
•Step 5 A cursor will appear. Drag the cursor up and to the left of the
area you want to zoom in on. The cursor will create the top left
corner of the rectangle to be zoomed in on. Press enter after selecting
where you want the rectangle positioned.
•Step 6 Drag the cursor down and you will see the rectangle form.
Drag it to cover the area to zoom in upon. Then press enter. The
calculator will then resize the graph and display the selected zoomed
in area.
•If you want to return to the original graph; press F2 and scroll down
to B:Memory and select 1ZoomPrev.

Working with Graphs Zoom Menu (cont.)
ZoomSqr:
This application will redraw the graph by adjusting xmin and
xmax so that the tic marks are equal in distance on both axes.
This is useful when you need to see an accurate shape, such as
a circle.
For example, graph the circle x^2+y^2=25.
•Step 1 Enter in the functions as so:
y1=sqrt(25-x^2) and y2=-sqrt(25- x^2).
•Step 2 Press F2 and then press 6:ZoomStd. This will create an
oval shaped graph.
•Step 3 For a more circular result, go back to the “Y=” screen,
press F2, and then press 5:ZoomSqr.

The command that will let you solve first and second order
differential equations is deSolve.
First order example: y’= y+x^2
•Step 1 To enter in deSolve, press F3. Continue down until
you reach “C:deSolve.”
•Press enter and it will appear on the home screen.
•Step 2 Enter in the equation as: deSolve (y’= y+x^2,x,y).
Press enter.
•Step 3 The answer given is the general solution y=@1*e^x-
x^2-2x-2. Thus @1 stands for an arbitrary parameter (that
we usually write as c or c1.)

Using this command will allow you to find the zeros of any function, so long
as they exist. Example: Y = x^4-4x^2
•Step1 Press 2nd then MATH (button #5). Next scroll down to the algebra
tab in the calculator or press (button #9).
•Step 2 Select the function zeros (Enter the equation zeros(x^4-4x^2,x) it
must have the (,x) at the end or else it will not work properly.
•The result are given in values of x and equal (-2,0, 2).

Factoring and expanded form are two methods used in all levels
of algebra and calculus.
Factoring : y= x^3-16x^2-4x+64
•Step 1 Press 2nd then MATH (button #5). Scroll down to the
algebra tab in the calculator or press button #2.
•Step 2 Select factor and enter equation.
The result will be the same as the equation in expanding since
these two cancel out: (x-2)(x+2)(x-16)
Expanding: y= (x-2)(x+2)(x-16)
•Step 1 Press 2nd then MATH (button #5). Next scroll down to
the algebra tab in the calculator or press (button #3)
•Step 2 Select expand and enter the equation
The result will be: x^3-16x^2-4x+64

Polar format is the vector form with an angle in degrees. In
engineering it determines the values of capacitive reactance and
inductive reactance.
Example: Y = 400 + 500j
(Note: engineers use jinstead of ias the imaginary number, but it
is ion the calculator)
•Step 1 Change the mode to polar output by going into the mode
menu and scroll down to the complex vector and press enter
then choose polar.
•Step 2 Enter the equation (can be in either polar or rectangle
form)
The rectangular input will be converted to a polar output if the
calculator is in polar output mode.
The result will be (40*square root of 2 at a angle of 45 degrees)

A with polar, rectangular form is giving the dimensions of a
vector, but by breaking the vector into two parts a ycomponent
and an xcomponent.
Y = 35 at an angle of 30 degrees
•Step 1 Change the mode to rectangular output by going into
the mode menu and scroll down to the complex vector and
press enter then choose rectangle
•Step 2 Enter the equation (can be in either polar or rectangle
form)
•The results will be:
((35*square root of 3)+35)/2 = 30.311+17.5j

•Step 1 Make sure that your equation is in Y intercept form.
•For example: Y=5X-3
•Step 2 Press the yellow button then press F1. Then insert
your equation and press enter.
•Step 3 Press the yellow button then press F3.

Option 1 Press the yellow button and F2. Manually input the
values.
•Make sure that Xmin < Xmax and Ymin< Ymax
Option 2 Press yellow button then press F3. After that press F2
and a menu pops up.
•If you want your window to standard mode press 6.
•If you have an equation that does not fit in the screen,
scroll down and highlight ZoomFit then press enter.