atlab Course - vgloop.com · -version of Java software for the MATLAB product. The version numbers...

Matlab Course

Lecture time: Sunday Off

Monday 8:00-10:00 12:00-2:00

Tuesday 14:00-16:00

Wednesday 10:00-12:00 14:00 - 16:00

Thursday 8:00 - 10:00

Location: Albiruni I\II Lab-B Building

Thaer Khatib, Palestine Polytechnic University © 1

Note: The Matlab Software Would be on the Desktop in a file named Matlab _R2008A

For Homework's and any other information

[email protected]

Name| Section| HW#


Matlab (matrix laboratory)

high-performance language for technical computing integrates

computation, visualization, and programming in an easy-to-use

environment where problems and solutions are expressed in

familiar mathematical notation.

Developed by MathWorks.


Matlab (matrix laboratory)

Typical uses for Matlab

Math and computation

Algorithm development

Data acquisition

Modeling, simulation, and prototyping

Data analysis, exploration, and visualization

Scientific and engineering graphics

Application development, including graphical user interface building


Installation Procedure


6 Thaer Khatib, Palestine Polytechnic University ©




11111-11111-11111-02626



license_standalone.dat


The Matlab environment

Command Window

Changing current directory

Prompt\Command line

Files and directories Inside the current directory

Command History


Matlab can be used as calculator


Our first command

Writing a command in the command line


Our first Scrip M-File


Making errors …


Example

Write a script:

University name

Your name and ID #

Specialization-department-college

Formal email


Identifiers


Reserved words (Keywords)


Reserved words (Keywords)

Special Variables pi, eps, ….

realmax, realmin, sin, cos, ….

sqrt(i), rem(i,j),…


Constants


Variables


Variables (cont.)


Operations on variables


List of variables

• Who


Array is the main data structure

used in Matlab


Examples of 1D and 2D arrays


Creating 1D Arrays


Indexing 1D Arrays


Use indexing to edit 1D Arrays


1D Array Orientation

Note: difference btw (’) and (.’)


Reminder of previous lecture

• Introduction.

• Matlab installation.

• Matlab interface.

• Identifiers.

• Arrays.

• Indexing.

• Simple operations on arrays.


Simple operations on 1D arrays


Sub-array searching


Arithmetic operations on 1D arrays


Matrices (2D Array)


Creating matrices


Indexing matrices


Using indexing to modify matrices


Simple operations on matrices


Reminder of previous lecture

• Simple operations on 1D arrays.

• Arithmetic operations on 1D arrays.

• Creating matrices.

• Indexing matrices.

• Simple operations on matrices.

• Arithmetic operations on matrices.


Plot command


Subplot command

The subplot command allows you to subdivide the graphing window into a grid

of m rows and n columns. The function

splits the figure into an m X n matrix. The variable p identifies the portion of the window

where the next plot will be drawn. For example, if the command


Subplot command

Example:

x=0:0.1:2*pi;

subplot(2,2,1);

plot(x,sin(x));

subplot(2,2,2);

plot(x,cos(x));

subplot(2,2,3)

plot(x,exp(-x));

subplot(2,2,4);

plot(x,sqrt(x))


Complex numbers

The symbol "i" identifies the imaginary part and has to be typed

immediately after the numerical value of the imaginary part


Construct complex data from real and imaginary components

complex(x,y)


real(x), imag(x), abs(x)


Isreal(x), conj(x)

Determine whether input is real array

Complex conjugate


Cart2pol, pol2cart


Cart2sph, sph2cart

Transform Cartesian coordinates to spherical

Transform spherical coordinates to Cartesian

cart2sph

sph2cart


ver command

ver:

A header containing:

-The current MATLAB product family version number.

-license number.

-operating system.

-version of Java software for the MATLAB product.

The version numbers for MATLAB and all other installed

MathWorks products.


Calculus

The Symbolic Math Toolbox provides functions to do the basic

operations of calculus; differentiation, limits, integration,

summation, and Taylor series expansion.

Differentiation

diff(f)

differentiates f with respect to its symbolic variable (in this case x)

Let’s create a symbolic expression.


Calculus


Calculus

Limits

The fundamental idea in calculus is to make calculations on functions

as a Variable “gets close to” or approaches a certain value. Recall that

the definition of the derivative is given by a limit

provided this limit exists. The Symbolic Math Toolbox allows you to

compute the limits of functions in a direct manner


Calculus


Calculus

Integration


Calculus


Solving Equation

If S is a symbolic expression, solve(S) attempts to find values of

the symbolic variable in S for which S is zero. For example,


Solving Equation

This is a symbolic vector whose elements are the two solutions.

If you want to solve for a specific variable, you must specify that

variable as an additional argument. For example, if you want to

solve S for b, use the command

Note that these examples assume equations of the form f(x) = 0. If

you need to solve equations of the form f(x)=q(x) you must use

quoted strings. In particular, the command


Several Algebraic Equations


Linear algebra


Polynomial Roots and Characteristic Polynomial

if p is a row vector containing the coefficients of a polynomial,

roots(p) returns a column vector whose elements are the roots

of the polynomial. If r is a column vector containing the roots

of a polynomial, poly(r) returns a row vector whose elements

are the coefficients of the polynomial.

atlab Course - vgloop.com · -version of Java software for the MATLAB product. The version numbers...

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