# CME 192: Introduction to Matlab

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1 CME 192: Introduction to Matlab Matlab Basics Brett Naul January 7, 2015

2 What is Matlab? Computing & programming environment Visualization and mathematical prototyping tool

3 Why Matlab? Comparison with Other Languages Matlab is an engineering prototyping language meant for ease of use with its vast mathematical resources C is a low-level language meant for production-level performance Other languages (e.g. Python) bridge the gap but do not have nearly the built-in mathematical capability

4 Why Matlab? Comparison with C Suppose we want to multiply two matrices A and B AB is a new matrix where (AB) ij = n A ik B kj k=1

5 Why Matlab? Comparison with C C code for matrix multiplication 1 // Initialize matrix C to accumulate 2 // sum in each C[i][k] 3 for(i=0; i<i; i++) 4 for(k=0; k<k; k++) 5 C[i][k] = 0; 6 7 // matrix multiplication, C = AB 8 for(i=0; i<i; i++) 9 for(j=0; j<j; j++) 10 for(k=0; k<k; k++) 11 C[i][j] += A[i][k] * B[k][j];

6 Why Matlab? Comparison with C Matlab code for matrix multiplication 1 C = A*B;

7 Goals We want to learn the syntax of Matlab but we really want to understand how to exploit Matlab s abilities Our goal: learn the Matlab Way for accomplishing tasks

8 Course Logistics: Lectures A laptop with Matlab is recommended at each lecture. Check the course website for announcements. We will be post lecture slides and assignments on the website. The url is

9 Course Logistics: Homework and Grading 3 assignments in total. The assignments will be posted on Thursday and due the following Thursday at 5PM. All assignments are mandatory. Instructions will be on the assignment and you will be submitting files to the Coursework dropbox. Grading is Satisfactory/No Credit. To get credit, you need to get at least 50 percent on each assignment.

10 Course Logistics: Office Hours There will be office hours held before class in this room starting at 1:45pm.

11 Course Logistics: Getting Matlab See links on course webpage:

12 Outline Matlab s Graphic User Interface Getting into Matlab Basic Computations

13 Matlab s Graphic User Interface Default Layout Command Window The main window for executing commands Matlab s sandbox Command History The history of commands executed Useful for recalling commands

14 Matlab s Graphic User Interface Default Layout Current Folder The working directory for saving and loading files Matlab functions written by you need to be in this directory to work Workspace A list of the currently defined variables Data type and values are also displayed

15 Matlab s Graphic User Interface Other Windows Editor A text editor for writing and running scripts and functions Also contains Matlab s Debugger Figure Window An all-purpose visualization window for plotting of all kinds 2-d plots, 3-d plots, surfaces, movies...

16 Matlab s Graphic User Interface Other Windows Matlab Help Browser and help Contains almost everything you need to know about Matlab help <function name> gives you the usage information for Matlab functions Variable Editor Allows in-depth exploration and editing of variable entries

17 Getting into Matlab In the Command Window, Matlab can be used interactively. Tryout info, demo, help, helpbrowser, quit, clear, clc To store a value in a Matlab Session, or in a program, a variable is used. The Workspace window shows the variables that have been created. Variables can be created using an assignment statement. The format of the assignment statement is variablename = expression.

18 Help facilities In principle all information about Matlab can be found in Matlab s help facilities. Below is the list of the most important ways to use the MATLAB help facilities: Help Functions: help 'function name' gives a short description of the function, the syntax, and other closely related help functions. If more extensive results are needed, try the command doc. look for: lookfor 'topic' gives the list of all possible function names which contain the specific search word. Help Browser: contains different ways to obtain the correct information, like lists, a global index and a search function.

19 Interrupting a running program/command To interrupt a running program, press Ctrl+c. If you inadvertently enter an infinite loop, this is the only way to stop your program.

20 Getting into Matlab Variables and Assignment Statements Variables are an example of identifier names. The rules for identifier names are: The name must begin with an alphabet. After that, the name can contain letters, digits and underscore character but cannot have a space. There is a limit to the length of the name; the built-in function namelengthmax tells how many characters this is. Matlab is case-sensitive. Cannot use reserved words for variable names. Names of built-in functions cannot be used for vaiable names.

21 Getting into Matlab Expressions Expressions can be created using values, variables that have already been created, operators, built-in functions, and parentheses. Long expressions can be continued on to the next line by typing three (or more) periods : ellipses. The format command can be used to specify the output format of expressions. The default in Matlab is to display upto four decimal places. Try out format short, format long, format short e. The format command can also be used to control the spacing between Matlab command and the result. Try out format loose, format compact.

22 Numbers and arithmetic operations in Matlab There are three kinds of numbers used in Matlab: integers, real numbers and complex numbers. Integers are entered without a decimal point. 1 EDU>> a = 10 2 a = 3 10 Variables realmin and realmax denote the smallest and the largest positive real numbers in Matlab. 1 EDU>> realmax 2 ans = e EDU>> realmin 5 ans = e 308

23 Numbers and arithmetic operations in Matlab Complex numbers in Matlab are represented in rectangular form. The imaginary unit 1 is denoted either by i or j. 1 EDU>> i 2 ans = i In addition to classes of numbers mentioned above, Matlab has three variables representing the nonnumbers : Inf, Inf, NaN

24 Basic Computations Arithmetic The Usual Suspects Addition (+), Subtraction (-), Multiplication (*), Division (/), Exponentiation (ˆ) Trig Functions sin(), cos(), tan(), asin(), acos(), atan() Exponential Functions exp(), log()

25 Basic Computations...and More Complex Functions abs(), conj(), imag(), real() Rounding Functions round(), floor(), ceil(), mod() Order of Operations as usual (x(y + z)) 2 (x*(y+z))^2 You name it, Matlab s got it

26 Exercises Run help help in the command window and examine the output. Create a variable, myage, and store your age in it. Subtract one from the value of the variable. Add two to the value of the variable. Find a format option that would result in the following output format: 1 EDU>> 5/16 + 2/7 2 ans = 3 67/112

27 Exercises Compute 2 + 3, 2 3, 2/3, 2 3, 2 1/3, log 2 3, cos(3) sin(3), sin(2 + 3), i in the command line. The function sin calculates and returns the sine of an angle in radians. Use help elfun to find the name of the function that returns the sine of an angle in degrees. Verify that calling this function and passing 90 degrees to it results in 1. What is wrong with the following sequence of commands? Find the mistakes and correct them. 1. sin (2x) - tan x 2. piˆ2 + eˆ2 3. 2and1 = 3 4. variable one = 1

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