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CAS Calculators

Sean Surratt

TECM 2700

July 3, 2013

Table of Contents 3

Table of Contents

Table of Contents ............................................................................ 3

Introduction.................................................................................... 5

Basics ...............................................................................................7

Exact and Approximate Results.................................................. 9

Trig Functions ............................................................................. 9

Shortcut Keys .............................................................................10

Syntax.........................................................................................10

Understanding Variables ........................................................... 11

Storing Variables .................................................................... 11

Deleting Variables .................................................................. 11

Variable Naming Conventions................................................ 11

Symbolic Math ...............................................................................13

Symbolic Algebra .......................................................................15

Solving Equations...................................................................15

Factoring Expressions ............................................................15

Understanding Units..................................................................16

Unit Conventions....................................................................16

Unit Operations ......................................................................16

Symbolic Calculus ...................................................................... 17

Matrix/Vector/List ........................................................................19

Matrix.........................................................................................21

Creating a Matrix....................................................................21

Manipulating a Matrix............................................................21

Matrix Operations ..................................................................21

Vector ........................................................................................ 22

Vector Operations.................................................................. 22

4 CAS Calculators

Lists ........................................................................................... 22

Creating Lists......................................................................... 22

Manipulating Lists................................................................. 23

List Operations ...................................................................... 23

Introduction to Programming ...................................................... 25

Programs Make Life Easier ....................................................... 27

Make a Simple Program............................................................ 27

Index ............................................................................................. 29

Introduction 5

Introduction

This document will focus on the Texas Instruments nspire cx CAS

calculator. The ability to use a Calculator with a Computer Algebra

System is fundamental to be a successful engineering student

today. CAS calculators can solve long equations just by typing

them in and hitting solve. Students unskilled with this tool are at a

significant disadvantage. The best resource to learn about the TI

CAS is the TI nspire guidebook. For some the guidebook has a

steep learning curve. Reading this quick reference manual will

help lower the curve.

To download the guidebook visit the TI website at:

education.ti.com/en/us/guidebook/search/ti-nspire-cas

Basics

TI-nspire CX CAS 1

Basics 9

Exact and Approximate Results

Results that are not whole numbers will automatically be shown in

a fractional or symbolic form. An exact result is a fraction and an

approximate result is a decimal.

Nspire Example I

Trig Functions

Press µto find all the trig functions.

TI-nspire CX CAS 2

10 CAS Calculators

Shortcut Keys

There are hidden shortcuts on the keypad that are listed in the

user manual. There are a few shortcuts you should memorize:

Add a column

g@

Add a row

@

Integration template

g+

Derivative template

g-

Fraction template

/p

Underscore

/_

Shortcuts 1

Syntax

Syntax is very important in computational math. Syntax is

basically the set of rules the system uses to communicate. Access

the list of commands from the catalog.

TI-nspire CX CAS 3

Syntax examples appear at the bottom of the screen when scrolling

through the list. Press e·to see more examples of syntax. Use

the expressions template to avoid syntax errors.

TI-nspire CX CAS 4