College Algebra
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TI DOWNLOADS
The programs below are for the TI-83 graphing calculator from Texas Instruments.

Using GraphLink software from Texas Instruments, you can download a program from your computer to your graphing calculator. In the list below, click on 'DOWNLOAD' to save the program you want on your computer. If this is the first time you are downloading a TI calculator program, or if you do not have GraphLink software, you can find help on the instructions page located on the Texas Instruments Web Site.

The textbook chapter or section to which a program applies is noted.

The following links are pointing to the TI-83 Graphing Calculator programs on the Texas Instruments web site (Copyright 1998 Texas Instruments Incorporated. All rights reserved.)

Chapter P Prerequisites

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  Algebra Program:

Anything and everything you need to pass Algebra 1 and Algebra 2.
This program will take up almost all of your memory.

Jshapiro@gvn.net

Chapter P Prerequisites
P.3 Rational Exponents and Radicals

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  Radical:

This program simplifies radicals. Enter a number and it will simplify the radical that is the square root of that number. Here's the good part though - the number doesn't have to be a positive integer! It can be positive, negative, whole, or fractional, and this nifty program will simplify it! (However, if you enter a negative number, you will get an error if you have your calculator set to real answers only. To set your calculator to handle imaginary answers, go to your Mode and set it the second to last option to something other than REAL.) Has a nice interface too. It uses variables A, B, C, D, E, and F, but before it does anything, it stores their values into a list variable it creates which is called LV, and when it is done it sets those variables back to their former values, and it then deletes the list variable LV. If you have any comments or find any problems with the program, email me at csrstka@earthlink.net. Thanks!

Charles J. Srstka, csrstka@earthlink.net

Chapter P Prerequisites
P.4 Polynomials

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  Polymult:

POLYMULT.83p multiplies two polynomials by each other and returns the product. The polynomials must be entered in list form.

Chapter P Prerequisites
P.4 Polynomials

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  Polydiv:

POLYDIV.83p divides polynomials and returns the quotient and remainder. All polynomials are entered in list form in this program.

Chapter P Prerequisites
P.5 Factoring Polynomials

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  Polyfctr:

It is slow, but sure! Answers are output as lists, in decreasing order of x.
For example, to factor 2X^3-3X^2-45X-54:

DEGREE?
?3
?X^3
?2
?X^2
?-3
?X
?-45
?
?-54

{2 -3 -45 -54}

{1 3}
{1 -6}
{2 3}

Therefore the factors are (X+3)(X-6)(2X+3).

Charles J. Srstka, csrstka@earthlink.net

Chapter P Prerequisites
P.5 Factoring Polynomials

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  Quadfctr:

This program factors a quadratic equation in ax2+bx+c form. Here is an example:

FACTOR AX2+BX+C
V1.02
A=?6
B=?22
C=?20

6X2+22X+20=
2(X+2)(3X+5)
Done

Charles J. Srstka, csrstka@earthlink.net

Chapter 1 Equations and Inequalities
1.6 Quadratic and Rational Inequalities

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  Inequal:

An inequality grapher.

Chapter 3 Polynomial and Rational Functions
3.2 Quadratic Functions

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  Parab:

Description not available. Sorry.

Chapter 6 Matrices and Determinants
6.1 Solving Linear Systems Using Matrices

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  Gauss-Jordan elimination demonstrator:

ACKNOWLEDGMENT

GAUSSIAN.83G is a group file containing the programs GAUSSIAN.83P, GAUSSNEW.83P, and GAUSSCLN.83P. These programs were written by John Powers of the TI Graphing Team and are released to the public domain. You may copy and change these programs.

INTRODUCTION

This program demonstrates the Gauss-Jordan elimination technique to solve a system of equations. The action taken and the resulting matrix is displayed after each step.

The SWAP step lists the numbers of the rows swapped and the result of the matrix after the rows are swapped.

The DIVIDE step displays which row is being divided through by the pivot.

Subsequent SUBTRACT steps indicate which row is being reduced by subtracting a multiple of the pivot row.

HOW TO USE GAUSSIAN

This program reduces matrix [A] in place. Formulate a system of simultaneous linear equations as an Nx(N+1) matrix in variable [A]. Run GAUSSIAN to watch step-by-step Gauss-Jordan elimination.

The program pauses after each step to allow the user to scroll the resulting matrix. Press [ENTER] to continue with the next step.

Program GAUSSNEW generates a new matrix in variable [A]. It prompts for the number of matrix rows. Type

prgmGAUSSNEW
prgmGAUSSIAN

to generate a new random matrix, display it, then begin the elimination process.

Auxiliary routine GAUSSCLN cleans up matrix entries which are close to zero.

Chapter 7 The Conic Sections
7.1 The Parabola

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  Conicpx:

This program examines a parabola in the form x=Ay^2+By+C. Input consists of the coefficients. Output consists of the vertex, focus and equation of the directrix.

ACKNOWLEDGEMENT

The program was written by Marvin Stick, University of Massachusetts Lowell, Dept. of Mathematical Sciences, Lowell, MA 01854, (978)934-2441, stickm@woods.uml.edu.

INTRODUCTION

Given the parabola x=Ay^2+By+C, this program requests input for the coefficients A, B, C and then will output the vertex, focus and directrix.

This program requires 178 bytes.

Chapter 7 The Conic Sections
7.1 The Parabola

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  Conicpy:

This program examines a parabola in the form y=Ax^2+Bx+C. Input consists of the coefficients. Output consists of the vertex, focus and equation of the directrix.

ACKNOWLEDGEMENT

The test case example presented was taken from a problem discussed in CALCULUS of a Single Variable, Early Transcendental Functions by Larson, Hostetler, Edwards, D.C. Heath, 1995. The program was written by Marvin Stick, University of Massachusetts Lowell, Dept. of Mathematical Sciences, Lowell, MA 01854, (978)934-2441, stickm@woods.uml.edu.

INTRODUCTION

Given the parabola y=Ax^2+Bx+C, this program requests input for the coefficients A, B, C and then will output the vertex, focus and directrix.

This program requires 178 bytes.

Chapter 7 The Conic Sections
7.2 The Ellipse and the Circle

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  Conicel:

This program examines an ellipse in the form Ax^2+Cy^2+Dx+Ey+F=0. Input consists of the coefficients. Output consists of the center, foci, vertices, end points of the minor axis and eccentricity.

ACKNOWLEDGEMENT

The test case example presented was taken from a problem discussed in CALCULUS of a Single Variable, Early Transcendental Functions by Larson, Hostetler, Edwards, D.C. Heath, 1995. The program was written by Marvin Stick, University of Massachusetts Lowell, Dept. of Mathematical Sciences, Lowell, MA 01854, (978)934-2441, stickm@woods.uml.edu.

INTRODUCTION

Given the ellipse Ax^2+Cy^2+Dx+Ey+F=0, this program requests input for the coefficients A, C, D, E, F and then will output the center, foci, vertices, end points for the minor axis and eccentricity. The program will also output a,b and c values for the standard form of the equation of an ellipse [(x-h)^2]/a^2+[(y-k)^2]/b^2=1 with center at (h,k) if the major axis is horizontal and [(x-h)^2]/b^2+[(y-k)^2]/a^2=1 with center at (h,k) if the major axis is vertical. In both cases c^2=a^2-b^2 and the major axis has length 2a.

This program requires 553 bytes.

Chapter 7 The Conic Sections
7.3 The Hyperbola

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  Conichyp:

This program examines a hyperbola in the form Ax^2+Cy^2+Dx+Ey+F=0. Input consists of the coefficients. Output consists of the center, foci, vertices, slopes and intercepts of the asymptotes, end points of the conjugate axis and eccentricity.

ACKNOWLEDGEMENT

The first test case example presented was taken from a problem discussed in CALCULUS of a Single Variable, Early Transcendental Functions by Larson, Hostetler, Edwards, D.C. Heath, 1995. The program was written by Marvin Stick, University of Massachusetts Lowell, Dept. of Mathematical Sciences, Lowell, MA 01854, (978)934-2441, stickm@woods.uml.edu.

INTRODUCTION

Given the hyperbola Ax^2+Cy^2+Dx+Ey+F=0, this program requests input for the coefficients A, C, D, E, F and then will output the center, foci, vertices, slopes and intercepts of the asymptotes, end points of the conjugate axis and eccentricity. The program will also output a,b and c values for the standard form of the equation of a hyperbola [(x-h)^2]/a^2-[(y-k)^2]/b^2=1 with center at (h,k) if the transverse axis is horizontal and [(y-k)^2]/a^2-[(x-h)^2]/b^2=1 with center at (h,k) if the transverse axis is vertical. In both cases c^2=a^2+b^2. An exception case in the output will flag a degenerate hyperbola when a=b=c=0. In this case, the program will output the center, vertices, foci and end points of the conjugate axis as coinciding at the same point. The graph will be two lines intersecting lines through this common point.

This program requires 670 bytes.
 
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