Introduction to matlab

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Introduction to matlab

  1. 1. Introduction to MATLAB Introduction to MATLAB Dr. Mohammad Tawfik Mohammad.tawfik@gmail.com
  2. 2. Introduction to MATLAB In this workshop we will cover the following • Using Matlab as a numerical calculator • Entering row vectors and column vectors • Entering matrices • Forming matrix and vector products • Doing matrix products, sums etc • Using Matlab to solve linear equations • Matlab functions that operate on arrays • Plotting basic graphs using Matlab.
  3. 3. Introduction to MATLAB Resources on the ‘K:’ drive • Now, you may find some books and notes about MATLAB for beginners and for experts on the ‘K:’ drive under the folder name “MATLAB E-Books”
  4. 4. Introduction to MATLAB What is MATLAB ? MATLAB started as an interactive program for doing matrix calculations and has now grown to a high level mathematical language that can solve integrals and differential equations numerically and plot a wide variety of two and three dimensional graphs. MATLAB also contains a programming language.
  5. 5. Introduction to MATLAB How to get started? Command Window Work Space Command History
  6. 6. Introduction to MATLAB Simple arithmetic with Matlab
  7. 7. Introduction to MATLAB Simple arithmetic with Matlab
  8. 8. Introduction to MATLAB Try These!
  9. 9. Introduction to MATLAB The order of operations • If you are using brackets, that will save you a lot of effort! • However, the operators have precedence! 1. “( )” brackets 2. “^” Power 3. “* /” Multiplication and division 4. “+ -” Addition and subtraction
  10. 10. Introduction to MATLAB Variable names • Variable may have names that consist of characters and digits, but they can not start with a number! • Matlab distinguishes between lower and upper cases - so A and a are different objects • Only the first 19 characters in a variable name are important.
  11. 11. Introduction to MATLAB Try this! • You have just created two vectors, x & y! • Now try some operations on them! (multiply by a constant, use sin(x), sqrt(x), exp(x), …
  12. 12. Introduction to MATLAB Try this!
  13. 13. Introduction to MATLAB This is your first plot!
  14. 14. Introduction to MATLAB How about this?
  15. 15. Introduction to MATLAB Now, you know how to create a plot of your data!
  16. 16. Introduction to MATLAB Matrix Operations • Try these:
  17. 17. Introduction to MATLAB Another way of creating a vector • You may try to multiply, add, or invert those matrices!
  18. 18. Introduction to MATLAB Matrix Inversion • Matrix inversion is performed using the function: inv();
  19. 19. Introduction to MATLAB What variables have you defined already ? • Also try the commands: who & whos
  20. 20. Introduction to MATLAB More Matrix Operations • Try these:
  21. 21. Introduction to MATLAB More Matrix Operations
  22. 22. Introduction to MATLAB Special Matrices!
  23. 23. Introduction to MATLAB Solving Equations! • Now we may use the tools we have to solve a system of equations! • If we have the equations: • Just transform it into matrix form! 632 892 735 =++ =+− =−+ zyx zyx zyx
  24. 24. Introduction to MATLAB Here is how!
  25. 25. Introduction to MATLAB Or Even Easier!!! • Actually, if you are solving a large system of equations, this operator is MUCH faster!
  26. 26. Introduction to MATLAB The last function for today! • Timing function: tic … toc • Tic: starts the timer • Toc: stops the timer and gives you the time in seconds!
  27. 27. Introduction to MATLAB More topics! • Complex numbers • Working with files • More graphics • Programming • Symbolic Operations

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