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Introduction to MATLAB

Introduction to MATLAB. Amir Ali Ahmadi Princeton, ORFE Slides/demos prepared in collaboration with: Georgina Hall Princeton, ORFE Some slides/examples courtesy of: Peter J. Ramadge, Ronnie Sircar. The format of this short course. I’ll use these PowerPoint slides as a guideline

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Introduction to MATLAB

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  1. Introduction to MATLAB Amir Ali AhmadiPrinceton, ORFESlides/demos prepared in collaboration with:Georgina HallPrinceton, ORFESome slides/examples courtesy of: Peter J. Ramadge, Ronnie Sircar

  2. The format of this short course • I’ll use these PowerPoint slides as a guideline • Will run the scripts in MATLAB here for you to see • There will be a 90-min tutorial by the TAs right after my lecture so you can try things on your own • There is a second short course tomorrow at 6:30 PM • My slides and demos will be posted on Blackboard

  3. Getting started • To install: http://www.princeton.edu/software/licenses/software/matlab/ Tip: make sure you install the offline version so you can access it when off campus.

  4. Scalar variables and assignments • Scalar assignments: • Ending semicolon

  5. Basic mathematical functions • Basic operations: • Exponential functions: • Other basic functions that come in handy:

  6. What is more useful than my lecture

  7. Management functions • Checking your variables: • Clearing stuff… • Saving variables:

  8. Vector and matrix manipulation (1/2) • Defining a vector/matrix: • Size of the data (row, then column) / length • Matrix/vector operations: standard component-wise • Commonly used matrices:

  9. Vector and matrix manipulation (2/2) • Concatenating matrices: • Random matrices: • Submatrices and elements: MATLAB indexing starts at 1

  10. Logical operations • Logical tests: Returns a matrix of same size as A with 0s and 1s : 1 is the condition is met for that entry, 0 is the condition is not met for that entry • Find function: • Some other basic operations:

  11. Symbolic computation • Useful for quick differentiation, integration, evaluation, plotting, etc.

  12. Writing a MATLAB script • Easy debugging, access to variables • Running the whole script, running sections

  13. Writing a MATLAB function • Easy to call multiple times (in a for loop e.g.) • Essential for larger projects

  14. Typical call to a MATLAB function from a script

  15. Function handles • Quick way of creating a temporary (simple) function without making a new file

  16. Plotting (1/2) • Opening a new window for a figure: end beginning step size

  17. Plotting (2/2) • Multiple graphs on one figure: • Plotting a surface: • ezplot (quick plotting, without defining a vector for input variables): • Can also be used to plot level sets: • Figure properties, grid, xlabel, … • Saving a figure

  18. If/else statements • If… then… else… • Checking for equalities and inequalities

  19. for/while loops • For loops • Nested for loops • While loops

  20. Practice with for loops • Write a script that tests whether a given integer is prime

  21. Practice with for loops • Write a script that lists all primes up to an integer N

  22. Vectorized computation • Whenever possible, replace for loops with vectorized computation • More readable • Less error prone • Better performance

  23. Vectorized computation

  24. MATLAB toolboxes • Collection of m-files for a specific problem domain • You will most likely come across some toolboxes depending on your interests

  25. Some basic image processing • Converting an image to black and white

  26. Image compression • Compressing an image using the singular value decomposition

  27. When stuck, you know where to go… (Can contribute back to the MATLAB community on MATLAB Central)

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