MATLAB for Engineers

Previous edition TOC

 

SECTION 1: AN INTRODUCTION TO BASIC MATLAB SKILLS

1.  About Matlab

1.1 What is Matlab?

1.2 Student Edition of Matlab

1.3 How is Matlab used in Industry?

1.3.1 Electrical Engineering 

1.3.2 Biomedical Engineering

1.3.3 Fluid Dynamics

1.4 Problem Solving in Engineering and Science

 

2. Matlab Environment

2.1 Getting Started

2.2 Matlab Windows

2.2.1 Command Window

2.2.2 Command History

2.2.3 Workspace Window

2.2.4 Current Directory Window

2.2.5 Document Window

2.2.6 Graphics Window

2.2.7 Edit Window

2.2.8 Start Button

2.3 Solving Problems with Matlab

2.3.1 Using Variables

2.3.2 Matrices in Matlab

2.3.2.1 Scalar Operations

2.3.2.2 Order of Operation

2.3.2.3 Array Operations

2.3.3 Number Display

2.3.3.1 Scientific Notation

2.3.3.2 Display Format

2.4 Saving Your Work

2.4.1 Saving Variables

2.4.2 Script M-files

 

3.   Built-in Matlab Functions

3.1 Using Built-in Functions

3.2 Using the Help Feature

3.3 Elementary Math Functions

3.3.1 Common Computations

3.3.2 Rounding Functions

3.3.3 Discrete Mathematics

3.4 Trigonometric Functions

3.5 Data Analysis Functions

3.5.1 Maximum and Minimum

3.5.2 Mean and Median

3.5.3 Sums and Products

3.5.4 Sorting Values

3.5.5 Determining Matrix Size

3.5.6 Variance and Standard Deviation

3.6 Random Numbers

3.6.1 Uniform Random Numbers

3.6.2 Gaussian Random Numbers

3.7 Complex Numbers

3.8 Computational Limits

3.9 Special Values and Miscellaneous Functions

 

4. Manipulating Matlab Matrices

4.1 Manipulating Matrices

4.1.1 Defining Matrices

4.1.2 Using the Colon Operator

4.2 Problems with Two Variables

4.3 Special Matrices

4.3.1 Matrix of Zeros

4.3.2 Matrix of Ones

4.3.3 Diagonal Matrices

4.3.4 Magic Matrices

 

5. Plotting

5.1 Two Dimensional Plots

5.1.1 Basic Plotting

5.1.2 Line, Color and Mark Style

5.1.3 Axis Scaling and Annotating Plots

5.2 Subplots

         5.3 Other Types of Two Dimensional Plots

5.3.1 Polar Plots

5.3.2 Logarithmic plots

5.3.3 Bar Graphs and Pie Charts

5.3.4 Histograms

5.3.5 X-Y Graphs with two Y Axes

5.3.6 Function Plots

5.4 Three Dimensional Plotting

5.4.1 Three Dimensional Line Plot

5.4.2 Surface Plots

5.5 Editing Plots from the Menu Bar

5.6 Creating Plots from the Workspace Window

5.7 Saving Your Plots

 

SECTION 2: PROGRAMMING IN MATLAB

6. User-Defined Functions

6.1 Creating Function M-files

6.1.1 Syntax

6.1.2 Comments

6.1.3 Functions with Multiple Inputs and Outputs

6.1.4 Functions with No input or no outputs

6.1.5 Determining the number of input and output arguments

6.1.6 Local Variables

6.1.7 Global Variables

6.1.8 Accessing M-file Code

6.2 Creating Your Own Tool Box of Functions

6.3 Anonymous Functions

6.4 Function Functions

 

                          7. User Controlled Input and Output

7.1 User Defined Input

7.2 Output Options

7.2.1 Display Function

7.2.2 Formatted Output (fprintf)

7.3 Graphical Input

7.4 Using Cell Mode in Matlab M-files

7.5 Reading and Writing Data From Files

 

     8. Logical Functions and Control Structures

8.1 Relational and Logical Operators

8.2 Flow Charts and Pseudo-Code

8.3 Logical Functions

8.3.1 Find

           8.3.2 Flow Charting and Pseudo Code for Find Commands

8.4 Selection Structures

8.4.1 The Simple If

8.4.2 If/Else

8.4.3 Elseif

8.4.4 Switch and Case

8.4.5 Menu

8.5 Repetition Structures - Loops

8.5.1 For Loops

8.5.2 While Loops

8.5.3 Break and Continue

8.5.4 Improving the Efficiency of Loops

 

SECTION 3: ADVANCED MATLAB CONCEPTS

9.  Matrix Algebra

9.1 Matrix Operations and Functions

9.1.1 Transpose

9.1.2 Dot Product

9.1.3 Matrix Multiplication

9.1.4 Matrix Inverse

9.1.5 Determinants

9.1.6 Cross Products

9.2 Solutions to Systems of Linear Equations

9.2.1 Solution Using the Matrix Inverse

9.2.2 Solution Using Matrix Left Division

9.3 Special Matrices

9.3.1 Ones and Zeros

9.3.2 Identity Matrix

9.3.3.Other Matrices

 

10. Other Kinds of Arrays

10.1 Data Types

10.1.1 Numeric Data Types

10.1.2 Character and String Data

10.1.3 Symbolic Data

10.1.4 Logical Data

10.1.5 Sparse Matrices

10.2 Multidimensional Arrays

10.3 Character Arrays

10.4 Cell Arrays

10.5 Structure Arrays

 

11. Symbolic Mathematics

11.1 Symbolic Algebra

11.1.1 Creating Symbolic Variables

11.1.2 Manipulating Symbolic Expressions and Symbolic Equations

11.2 Solving Expressions and Equations

11.2.1 The Solve Function

11.2.2 Solving Systems of Equations

11.2.3 Substitution

11.3 Symbolic Plotting

11.3.1 The ezplot Function

11.3.2 Additional Symbolic Plots

11.4 Calculus

11.4.1 Differentiation

11.4.2 Integration

11.5 Differential Equations

 

12. Numerical Techniques

12.1 Interpolation

12.1.1 Linear Interpolation

12.1.2 Cubic Spline Interpolation

12.1.3 Multidimensional Interpolation

12.2 Curve Fitting

12.2.1 Linear Regression

12.2.2 Polynomial Regression

12.2.3 The polyval function

12.3 Using the Interactive Fitting Tools

12.3.1 Basic Fitting Tools

12.3.2 Curve Fitting Toolbox

12.4 Differences and Numerical Differentiation

12.5 Numerical Integration

12.6 Solving Differential Equations Numerically

 

      13. Advanced Graphics

13.1 Images

     13.2 Handle Graphics

13.3 Animation

13.4 Other Visualization Techniques

13.5 Introduction to Volume Visualization

 

 

Appendix A: Command Summary Appendix B: Answers to Practice Exercises