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CAS Calculators
Sean Surratt
TECM 2700
July 3, 2013

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Summary of Contents for Texas Instruments nspire cx

  • Page 1 CAS Calculators Sean Surratt TECM 2700 July 3, 2013...
  • Page 3: Table Of Contents

    Table of Contents 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..........
  • Page 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...
  • Page 5: Introduction

    Introduction 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.
  • Page 7: Basics

    Basics TI-nspire CX CAS 1...
  • Page 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 µ Press to find all the trig functions. TI-nspire CX CAS 2...
  • Page 10: Shortcut Keys

    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.
  • Page 11: Understanding Variables

    Basics Understanding Variables Storing Variables Variables are stored using the define or store commands. Nspire Example II Deleting Variables Delete variables using the Del Var command. Nspire Example III Variable Naming Conventions There are a few ways to name a variable. ...
  • Page 13: Symbolic Math

    Symbolic Math...
  • Page 15: Symbolic Algebra

    Symbolic Math Symbolic Algebra Solving Equations Use the Solve command to save time working out algebra problems. Use this command to solve one equation for one variable or multiple equations for multiple variables simultaneously Nspire Example IV Factoring Expressions Use the Factor command to return an expression factored with respect to a variable.
  • Page 16: Understanding Units

    When working with units in equations use parentheses to avoid syntax and order of operations errors. Unit Operations To convert units use the Conversion Operator (¢). Nspire Example VII CAUTION: Temperature units must be converted using the Temp Convert command. TI-nspire CX CAS 5...
  • Page 17: Symbolic Calculus

    Symbolic Math Symbolic Calculus The CAS automatically evaluates L’Hopital’s rule, integration by parts, and countless other methods. Use the limit, derivative, and integral, templates under the expressions template button enter values in just as you would on paper. Nspire Example VIII...
  • Page 19: Matrix/Vector/List

    Matrix/Vector/List Nspire Example IX...
  • Page 21: Matrix

    Matrix/Vector/List Matrix Creating a Matrix  Select the expression template button  Input the dimensions of your matrix and press enter  Fill in the first element and press tab to move to the next. Manipulating a Matrix If you need to add more elements to your matrix: ...
  • Page 22: Vector

    CAS Calculators Vector A vector is a matrix. Create and manipulate vectors as you would a matrix. Vector Operations The built in vector operations include Unit Vector, Cross Product, Dot Product, and converting to different coordinate systems. Nspire Example XI...
  • Page 23: Manipulating Lists

    Manipulating the list is much faster than retyping the augmented list. Nspire Example XIII List Operations Select the list operations from the list math tab. These commands are very useful when working in statistics. TI-nspire CX CAS 7...
  • Page 25: Introduction To Programming

    Introduction to Programming Lua Programming Logo 1...
  • Page 27: Programs Make Life Easier

    Introduction to Programming Programs Make Life Easier Find a group of problems in a course that use the same equations. Make a flow chart of what to do when you encounter different parameters in this group of problems. Write down the formulas you would need for each step.
  • Page 28 CAS Calculators Copy the code and test it out. Then try writing a program for a problem in your class. Define LibPub mohr(x,y,τ,β)= Prgm setMode(2,2) setMode(5,2) a:=((y+x)/(2)) r:=√((x-a)^(2)+τ^(2)) setMode(1,6) -y))))/(2)) m:=a+r n:=a-r If α=±45 Then θ:=45 Else θ:=α EndIf φ:=θ+45 t:=r*sin(2*β-2*θ)
  • Page 29: Index

    Index Index approximate, 9 limit, 16 command, 11, 15, 16 Lists, 4, 22, 23 commands, 10, 21, 23 manipulate, 22, 23 constants, 16 Matrix, 3, 19, 21 convert, 16 operations, 16, 21, 22, 23 curved brackets, 22 program, 4, 27, 28 Define, 11 Shortcut, 3, 10 Delete, 11...

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