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CAS Calculators

Sean Surratt
TECM 2700

July 3, 2013

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Summary of Contents for nspire cx

Page 1: ...CAS Calculators Sean Surratt TECM 2700 July 3 2013 ...

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Page 3: ...ables 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 ...

Page 4: ...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: ...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 u...

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Page 7: ...Basics TI nspire CX CAS 1 ...

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Page 9: ...s 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 ...

Page 10: ...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 ...

Page 11: ...sing 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 single letter x y z letter and number x1 y1 z1 name observed list expected ...

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Page 13: ...Symbolic Math ...

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Page 15: ... 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 Nspire Example V Expand expressions by following the same syntax as factoring Nspire Example VI ...

Page 16: ...own You just follow the same steps as you would when defining a variable but with an underscore in front of the variable Unit Conventions 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 nspi...

Page 17: ...tically 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 TI nspire CX CAS 6 ...

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Page 19: ...Matrix Vector List Nspire Example IX ...

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Page 21: ...nt and press tab to move to the next Manipulating a Matrix If you need to add more elements to your matrix Add a column g Add a row Matrix Operations Matrix operations are straight forward Just make sure you use the rules for matrix multiplication addition etc Element Operations are less straight forward You must use the dot multiply commands Nspire Example X ...

Page 22: ...ss Product Dot Product and converting to different coordinate systems Nspire Example XI NOTE The order of the elements of in the Cross Product function matter M R x F Lists Creating Lists To create a list you must use the curved brackets After you create a list store it as list1 or an appropriate name Some list operations require your list to be stored Nspire Example XII ...

Page 23: ...anipulate a list under the list operations tab 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 ...

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Page 25: ...Introduction to Programming Lua Programming Logo 1 ...

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Page 27: ...arameters in this group of problems Write down the formulas you would need for each step That is basically what a program is Make a Simple Program Mohr s circle is another problem that is simple but takes longer than needed to work out Write a program that solves Mohr s circle Nspire Example XIV To make a new program open up the program editor and select new program and name it Mohr ...

Page 28: ...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 If x y Then r cos 2 β 2 θ 2 θ Else 2 θ r cos 2 β 2 θ EndIf Disp σ max m σ min n Disp σ ave a τ max r Disp θp θ θs φ EndPrgm ...

Page 29: ...1 derivative 16 Element 21 exact 9 Expand 15 expression 15 21 Factor 15 fractional 9 guidebook 5 integral 16 limit 16 Lists 4 22 23 manipulate 22 23 Matrix 3 19 21 operations 16 21 22 23 program 4 27 28 Shortcut 3 10 Solve 15 symbolic 9 Syntax 3 10 template 10 16 21 trig 9 Unit 3 16 22 units 16 Variables 3 11 Vector 3 4 19 22 ...

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