t i 84 Calculus Commands

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Confidential Do Not Distribute 2014 Tutor.com, Inc.

This guide provides a list of the most common commands on the TI-84 used in a calculus class. Most of the

commands also appear on the TI-83, unless otherwise noted. These exceptions are noted with a (*).

CONTENTS

RADIAN VERSUS DEGREE ........................................................................................................................................................... 2

CREATING A GRAPH ...................................................................................................................................................................... 2

ADJUSTING THE WINDOW ....................................................................................................................................................... 2

USING THE TRACE ........................................................................................................................................................................... 2

FINDING A ZERO GRAPHICALLY ........................................................................................................................................... 3

FINDING A MINIMUM GRAPHICALLY .............................................................................................................................. 3

FINDING A MAXIMUM GRAPHICALLY ............................................................................................................................. 3

FINDING WHERE TWO CURVES INTERSECT ................................................................................................................. 3

DIFFERENT TYPES OF GRAPHS ............................................................................................................................................... 4

GRAPHING PARAMETRIC EQUATIONS ............................................................................................................................ 4

GRAPHING POLAR EQUATIONS ............................................................................................................................................ 4

FINDING A DERIVATIVE .............................................................................................................................................................. 5

FINDING AN INTEGRAL ............................................................................................................................................................... 5

EQUATION SOLVER......................................................................................................................................................................... 5

PERMUTATIONS AND COMBINATIONS .......................................................................................................................... 6

RANDOM NUMBERS....................................................................................................................................................................... 6

ENTERING MATRICES .................................................................................................................................................................... 6

COMMON MATRIX OPERATIONS ......................................................................................................................................... 7

Option 1: det([A]) ................................................................................................................................................................................ 7

Option 2: [A]T ........................................................................................................................................................................................ 7

Option B: rref([A]) ............................................................................................................................................................................... 7

Home screen: [A]-1 .............................................................................................................................................................................. 7

Content ResourceCommon Calculus Functions on the TI-83/84


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RADIAN VERSUS DEGREE (Contents)

To switch between the two modes:

Press MODE

Select either RADIAN or DEGREE

CREATING A GRAPH (Contents)

To create a graph:

Press Y=

Type the function to be graphed by Y1=

Type further functions to be graphed on Y2=, Y3=, etc. if more need graphing simultaneously

Press GRAPH

ADJUSTING THE WINDOW (Contents)

More than likely the graph window will need to be adjusted to cater to the function at hand. To adjust it

after either entering in the function or graphing it:

Press WINDOW

Choose a lower and upper bound for the x-axis (Xmin and Xmax)

Choose an appropriate scale for the x-axis (Xscl, by default 1)

Choose a lower and upper bound for the y-axis (Ymin and Ymax)

Choose an appropriate scale for the y-axis (Yscl, by default 1)

Typically leave Xres = 1

Press GRAPH

To go back to the standard window where both axes are between -10 and 10:

Press ZOOM

Select Option 6: ZStandard

The graph will appear with the default window settings

USING THE TRACE (Contents)

To get a specific y-value given an x-value:

Plot the function on the graph with a comfortable window

Press TRACE


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Use the left and right arrows to move the cursor along the function

To find a specific y-value, enter the x-value and press ENTER (make sure the window includes the

(x,y) point of interest)

FINDING A ZERO GRAPHICALLY (Contents)Having plotted a graph, to solve numerically for a zero / root:

Press 2nd

, then TRACE (this pulls up the CALC menu)

Select Option 2: Zero

For Left Bound, enter a reasonable x-value to the left of the zero

Press ENTER

For Right Bound, enter a reasonable x-value to the right of the zero

Press ENTER

For Guess, enter a reasonable x-value close to the location of the zero

Press ENTER The calculator will solve for the x-value of the zero.

FINDING A MINIMUM GRAPHICALLY (Contents)

Having plotted a graph, to solve numerically for a minimum:

Press 2nd


Select Option 3: Minimum

Follow similar steps for solving for a zero above, only for the minimum

FINDING A MAXIMUM GRAPHICALLY (Contents)

Having plotted a graph, to solve numerically for a maximum:

Press 2

nd, then TRACE (this pulls up the CALC menu)

Select Option 4: Maximum

Follow similar steps for solving for a zero above, only for the maximum

FINDING WHERE TWO CURVES INTERSECT (Contents)

Having plotted two functions with their intersection appearing in the window:

Press 2nd


Select Option 5: Intersect


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For First Curve, just press ENTER

For Second Curve, just press ENTER

For Guess, enter a reasonable x-value close to the location of the intersection

Press ENTER

DIFFERENT TYPES OF GRAPHS (Contents)

To switch to a different type of graphical interface:

Press MODE

Select FUNC (regular Cartesian), PAR (parametric), or POL (polar)

GRAPHING PARAMETRIC EQUATIONS (Contents)

To graph parametric equations x(t) and y(t):

Switch to Parametric Mode

Press Y=

Enter x(t) for X1T

Enter y(t) for Y1T

Press GRAPH

Adjust the window in a similar way as described above. The only additional step is to put a

minimum, maximum, and spacing step on the time variable T.

GRAPHING POLAR EQUATIONS (Contents)

To graph a polar equation:

Algebraically solve for r

Switch to Polar Mode

Press Y=

Enter the right side of the equation, the part in terms of theta

Press GRAPH

Adjust the window in a similar way as described above. The only additional step is to put a

minimum, maximum, and spacing step on the variable


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FINDING A DERIVATIVE (Contents)

To find the derivative of a function evaluated at a given point a:

Press MATH

Select Option 8: nDeriv(

Compute nDeriv(function in terms of x,x, a)

Press ENTER

The calculator finds the derivative at anumerically

Example:To find the derivative of y = 3x3at x = 1, compute nDeriv(3X^3,X,1). The answer is 9.000003, or 9.

FINDING AN INTEGRAL (Contents)

To find the definite integral of a function from ato b: Press MATH

Select Option 9: fnInt(

Compute fnInt(function in terms of x,x, a, b)

Press ENTER

The calculator finds the definite integral from ato bnumerically.

Example:To find the integral of y = sin(x) from 0 to , compute fnInt(sin(X),X,0,). The answer is 2.

EQUATION SOLVER (Contents)

To use the equation solver:

Press MATH

Select Option 0: Solver

Move the cursor to the equation

Enter the equation in terms of X, which must be equal to 0 on the left side

Move the cursor down to the next line, which says X = ( some number). Ignore what that number

says.

Press ALPHA, then ENTER. This selects the SOLVE option The calculator solves for X numerically.

Example:solve for x in the equation x3= 8. Enter as the equation 0 = x38. After executing SOLVE, the

answer turns out to be 2.


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PERMUTATIONS AND COMBINATIONS (Contents)

Press MATH

Select PRB to access the probability-associated functions

We state the following three examples:

(1)Compute the permutation 8P3 as 8, then type nPr 3, then 3, and the answer is 336.

(2)Compute the combination 8C3 as 8, then type nCr, then 3, and the answer is 56.

(3)Compute the factorial 6! as 6, then !, and the answer is 720.

RANDOM NUMBERS (Contents)

Press MATH

Select PRB to access the random number generators.

We state the following fourexamples:

(1)To randomly generate a decimal number between 0 and 1, simple choose Rand and press ENTER.

(2)To randomly generate k integers from the range a to b, type RandInt(a, b, k) and press ENTER. The

result is a random sample of k integers from the given range, with possible repetitions.

ENTERING MATRICES (Contents)

To access the MATRIX menu

Press 2nd

Press x-1

To create or edit a matrix while in the MATRIX menu

Select EDIT

Select a matrix

Specify its dimensions

Enter the required values


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COMMON MATRIX OPERATIONS (Contents)

Certain matrix operations are not uncommon in higher statistics and algebra. The following are the most

common., and they can be found under the MATRIX menu and selecting MATH.

Option 1: det([A])This returns the determinant of matrix [A], provided [A] is a square matrix.

Option 2: [A]T

This returns the transpose of matrix [A]. Enter [A] first, followed by T.

Option B: rref([A])

This returns the reduced echelon form of matrix [A]. Be careful not to use ref( ) instead.

Home screen: [A]-1

Available on the home screen, this returns the inverse of matrix [A], provided [A] is a square, nonsingular

matrix.

t i 84 Calculus Commands

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