1. Brought to you by the CPP Robotics Club

2. Agenda –Solve –Factor –Expand –Propfrac –Derivatives –Integration –Notefolio Features Covered –Taking Limits –Finding Min’s and Max’s –Riemann’s Sums –Unit Convertor –Matrices –Matrix Math Features Covered

3. The Solve Feature 1)Go to Home Screen 2)Press F2 (Algebra) 3)Select “1:solve(“ or press 1 4)Type in equation you want to solve 5)Press “,” and then enter variable using 6)Hit Enter

4. The “Factor” Feature 1)Go to Home Screen 2)Press F2 (Algebra) 3)Select “2:factor(“ or press 2 4)Type in equation you want to factor 5)Hit Enter 6)The zero feature will give you zero factors that you can infer from you factored equation

5. The “Expand” Feature 1)Go to Home Screen 2)Press F2 (Algebra) 3)Select “3:expand( or press 3 4)Type in equation you want to expand 5)Hit Enter

6. The “PropFrac” Feature 1)Go to Home Screen 2)Press F2 (Algebra) 3)Select “7:propFrac( or press 7 4)Type in equation you want to decompose to it’s simplest form 5)Hit Enter

7. Differentiation 1)Go to Home Screen 2)Press F3 (Calc) 3)Select “1:d( differentiate or press 1 4)Type in equation you want to take the derivative of 5)Press “,” and then enter variable using 1)Optional: To take second derivative of the equation, press “,” after inputting the variable and type 2 (works for higher order derivatives also) 6)Hit Enter

8. Integration 1)Go to Home Screen 2)Press F3 (Calc) 3)Select “1:∫( integrate or press 2 4)Type in equation you want to take the integral of 5)Press “,” and then enter variable using 1)To enter limits press “,” and enter lower limit, repeat for upper limit 2)This can also be used to do variable limits 6)Hit Enter

9. NoteFolio Open NoteFolio from the desktopChoose New Name your note file Type your notes. Press F1 when done.

10. You can see that it has been saved To open notes, choose Open Choose the name of the note file you want to open View and edit your notes

11. Here’s an example for Trig Identities

12. Taking Limits 1)Go to Home Screen 2)Press F3 (Calc) 3)Select “3:limit( or press 3 4)Type in equation you want to take the limit of 5)Press “,” and then enter variable using 6)Enter the limit (i.e. 0 or infinity) 7)Hit Enter

13. Finding Max’s and Mins’ of Equations 1)Go to Home Screen 2)Press F3 (Calc) 3)Select “6:fMin( or press 6 4)Type in equation you want to find the minimum of 5)Press “,” and then enter variable using 6)Hit Enter *This works the same way for fMax

14. Riemann’s Sums 1)Go to Home Screen 2)Press F3 (Calc) 3)Select “4:Σ( sum or press 4 4)Type in equation you want to take the integral of 5)Press “,” and then enter variable using 6)Press “,” and then lower limit of summation 7)Press “,” and then upper limit of summation 8)Hit Enter

15. Unit Convertor 1)Go to Home Screen 2)Press 2 nd, 3 (units) 3)Scroll down to the type of unit you desire 4)Hit the ► to view the different units for that parameter 5)Hit enter 6)Press 2 nd, mode(►) 7)Repeat steps 3-5 for whatever unit you want to convert to. 8)Hit enter

16. Matrices 1)To create a Matrix: a)Go to the Home Screen b)Press Apps c)Select Data/Matrix Editor d)Select 3: New e)For type hit the ► button and select 2:Matrix f)Enter the variable name (i.e. “a”, “c” only letters are allowed) g)Enter the amount of Rows and Columns you desire h)Press Enter 2)Entering data into matrix cell a)Scroll over cell you want to input data into b)Hit enter and type in value into cell c)Hit enter again to store the value in the cell d)If you want more rows/columns just scroll over to a cell that is blank and repeat steps 2a)-2c)

17. Matrix Math Scalar Multiplications 1)Go to Home Screen 2)To “call” a matrix press “alpha” and type in letter of matrix you wish to call. 3)Press enter to display matrix 4)To multiply matrix by a scalar type in you scale (i.e. 2 or 3/7) and repeat step 1) 5)Press enter to display results

18. Matrix Math Adding, Subtracting and Multiplying Matrices 1)Go to Home Screen 2)To “call” a matrix press “alpha” and type in letter of matrix you wish to call. 3)Press enter to display matrix 4)To add or subtract matrices simply use step 1) to input your first matrix 5)Input which operator you desire (+, - or *)** a)WARNING: You cannot divide matrices. 6)Repeat step 1) for your second matrix 7)Repeat as needed 8)Press enter **Please be sure you are following the rules for matricies

19. Matrix Math Finding the transverse and determinate of a Matrix 1)Go to the Home Screen 2)For Transverse: a)To find the transverse (flips the matrix along its diagonal) of a matrix, press “alpha” and select variable that represent the matrix you wish to find the transverse of b)Press “Catalog,” than press “t” c)The first option that comes up should be a “ T ”. This is the transverse operator d)Press enter to view the transverse of the Matrix 3)For Determinates: a)Press “Catalog,” than press “d” b)Scroll down till you see “det(“ and press enter. This is the determinate operator c)Press “alpha” and select variable that represent the matrix you wish to find the determinate of d)Close the parenthesis by pressing “)” e)Press enter to view the determinate of the Matrix

20. Matrix Math Solving a system of N-equations with N-unknowns (a.k.a Matrix Division) 1)Go to the Home Screen 2)For example our “a” matrix will be a 3X3 while “b” is a 3X1 matrix 3)Where “a” are to coefficients of your unknowns {x, y, z} and “b” are the constants in the equation. See below: 4)To solve this you would usually divide “b” by “a” but this cannot be done with matrices. 5)Use the following format to solve this system: a^-1*b. This will yield a 3X1 matrix whose values are your unknowns.

21. If you would like this presentation it will posted on the our club website: www.csupomona.edu/cpprc You can also email us for a copy at: cpproboclub@gmail.com Come and join us at our next general meeting THIS Thursday, April 29 th this room during U-Hour!!!!!!!!!!!!!!!!! There will be a special presentation about the History of Robots!!!!!!