### MATLAB

MATLAB is an interactive system whose basic data element is an array that does not require dimensioning. This allows you to solve many technical computing problems, especially those with matrix and vector formulations, in a fraction of the time it would take to write a program in a scalar noninteractive language such as C or Fortran. The name MATLAB stands for matrix laboratory. MATLAB was originally written to provide easy access to matrix software developed by the LINPACK and EISPACK projects, which together represent the state-of-the-art in software for matrix computation. MATLAB has evolved over a period of years with input from many users. In university environments, it is the standard instructional tool for introductory and advanced courses in mathematics, engineering, and science. In industry, MATLAB is the tool of choice for high-productivity research, development, and analysis. MATLAB features a family of application-specific solutions called toolboxes. Very important to most users of MATLAB, toolboxes allow you to learn and apply specialized technology. Toolboxes are comprehensive collections of MATLAB functions (M-files) that extend the MATLAB environment to solve particular classes of problems. Areas in which toolboxes are available include signal processing, control systems, neural networks, fuzzy logic, wavelets, simulation, and many others..

### Syllabus

Installation of MATLAB

History

Use of MATLAB

Key features

MATLAB window

Command window

Workspace

Command history

Setting directory

Working with the MATLAB user interface

Basic commands

Assigning variables

Operations with variables

Arrays and vectors

Column vectors

Row vectors

Arithmetic operations

Operators and special characters

Mathematical and logical operators

Solving arithmetic equations

Matrix operations

Finding transpose, determinant and inverse

Solving matrix

Complex numbers

fractions

Real numbers

Complex numbers

Writing Script file

Executing script files

The MATLAB Editor

Saving m files

Plot labelling, curve labelling and editing

Creating a Plot

Plotting Multiple Data Sets in One Graph

Specifying Line Styles and Colors

Graphing Imaginary and Complex Data

Figure Windows

Displaying Multiple Plots in One Figure

Controlling the Axes

About Mesh and Surface Visualizing

Subplots

GUI Function Property

GUI Component Design

GUI Container

Writing the code of GUI Callback

Dialog Box

Menu Designing

Applications

Simulink Environment & Interface

Study of Library

Circuit Oriented Design

Equation Oriented Design

Model

Subsystem Design

Connect Call back to subsystem

Application

Writing programs with logic and flow control

Writing functions

Control statement Programming

Conditional Statement Programming

Examples

Loop Control — for, while, continue, break

Program Termination — return

Built in Function

Function calling

Return Value

Types of Functions

Global Variables

Importing and displaying images

Converting between image types

Exporting images

Interactive Exploration of Images

Obtaining pixel intensity values

Extracting a region of interest

Computing pixel statistics

Measuring object sizes

Creating a custom interactive tool

Preprocessing Images

Adjusting image contrast

Reducing noise in an image

Using sliding neighborhood operations

Using block processing operations

Linear Algebra

Roots of Polynomials

Algebraic equations

Differential Equations (1st & 2nd order)

Transforms (Fourier, Laplace, etc)

Ordinary Differential equations

Examples of few ODEs