Contents

Preface

Introduction

Chapter 1   Starting with MATLAB

1.1  STARTING MATLAB, MATLAB WINDOWS

1.2  WORKING IN THE COMMAND WINDOW

1.3  ARITHMETIC OPERATIONS WITH SCALARS

1.3.1  Order of Precedence

1.3.2  Using MATLAB as a Calculator

1.4  DISPLAY FORMATS

1.5  ELEMENTARY MATH BUILT-IN FUNCTIONS

1.6  DEFINING SCALAR VARIABLES

1.6.1  The Assignment Operator

1.6.2  Rules About Variable Names

1.6.3  Predefined Variables and Keywords

1.7  USEFUL COMMANDS FOR MANAGING VARIABLES

1.8  SCRIPT FILES

1.8.1  Notes About Script Files

1.8.2  Creating and Saving a Script File

1.8.3  Running (Executing) a Script File

1.8.4  Current Folder

1.9  EXAMPLES OF MATLAB APPLICATIONS

1.10  PROBLEMS

Chapter 2   Creating Arrays

2.1  CREATING A ONE-DIMENSIONAL ARRAY (VECTOR)

2.2  CREATING A TWO-DIMENSIONAL ARRAY (MATRIX)

2.2.1  The zeros, ones and, eye Commands

2.3  NOTES ABOUT VARIABLES IN MATLAB

2.4  THE TRANSPOSE OPERATOR

2.5  ARRAY ADDRESSING

2.5.1  Vector

2.5.2  Matrix

2.6  USING A COLON : IN ADDRESSING ARRAYS

2.7  ADDING ELEMENTS TO EXISTING VARIABLES

2.8  DELETING ELEMENTS

2.9  BUILT-IN FUNCTIONS FOR HANDLING ARRAYS

2.10  STRINGS AND STRINGS AS VARIABLES

2.11  PROBLEMS

Chapter 3   Mathematical Operations with Arrays

3.1  ADDITION AND SUBTRACTION

3.2  ARRAY MULTIPLICATION

3.3  ARRAY DIVISION

3.4  ELEMENT-BY-ELEMENT OPERATIONS

3.5  USING ARRAYS IN MATLAB BUILT-IN MATH FUNCTIONS

3.6  BUILT-IN FUNCTIONS FOR ANALYZING ARRAYS

3.7  GENERATION OF RANDOM NUMBERS

3.8  EXAMPLES OF MATLAB APPLICATIONS

3.9  PROBLEMS

Chapter 4   Using Script Files and Managing Data

4.1  THE MATLAB WORKSPACE AND THE WORKSPACE WINDOW

4.2  INPUT TO A SCRIPT FILE

4.3  OUTPUT COMMANDS

4.3.1  The disp Command

4.3.2  The fprintf Command

4.4  THE save AND load COMMANDS

4.4.1  The save Command

4.4.2  The load Command

4.5  IMPORTING AND EXPORTING DATA

4.5.1  Commands for Importing and Exporting Data

4.5.2  Using the Import Wizard

4.6  EXAMPLES OF MATLAB APPLICATIONS

4.7  PROBLEMS

Chapter 5   Two-Dimensional Plots

5.1  THE plot COMMAND

5.1.1  Plot of Given Data

5.1.2  Plot of a Function

5.2  THE fplot COMMAND

5.3  PLOTTING MULTIPLE GRAPHS IN THE SAME PLOT

5.3.1  Using the plot Command

5.3.2  Using the hold on and hold off Commands

5.3.3  Using the line Command

5.4  FORMATTING A PLOT

5.4.1  Formatting a Plot Using Commands

5.4.2  Formatting a Plot Using the Plot Editor

5.5  PLOTS WITH LOGARITHMIC AXES

5.6  PLOTS WITH ERROR BARS

5.7  PLOTS WITH SPECIAL GRAPHICS

5.8  HISTOGRAMS

5.9  POLAR PLOTS

5.10  PUTTING MULTIPLE PLOTS ON THE SAME PAGE

5.11  MULTIPLE FIGURE WINDOWS

5.12  PLOTTING USING THE PLOTS TOOLSTRIP

5.13  EXAMPLES OF MATLAB APPLICATIONS

5.14  PROBLEMS

Chapter 6   Programming in MATLAB

6.1  RELATIONAL AND LOGICAL OPERATORS

6.2  CONDITIONAL STATEMENTS

6.2.1  The if-end Structure

6.2.2  The if-else-end Structure

6.2.3  The if-elseif-else-end Structure

6.3  THE switch-case STATEMENT

6.4  LOOPS

6.4.1  for-end Loops

6.4.2  while-end Loops

6.5  NESTED LOOPS AND NESTED CONDITIONAL STATEMENTS

6.6  THE break AND continue COMMANDS

6.7  EXAMPLES OF MATLAB APPLICATIONS

6.8  PROBLEMS

Chapter 7   User-Defined Functions and Function Files

7.1  CREATING A FUNCTION FILE

7.2  STRUCTURE OF A FUNCTION FILE

7.2.1  Function Definition Line

7.2.2  Input and Output Arguments

7.2.3  The H1 Line and Help Text Lines

7.2.4  Function Body

7.3  LOCAL AND GLOBAL VARIABLES

7.4  SAVING A FUNCTION FILE

7.5  USING A USER-DEFINED FUNCTION

7.6  EXAMPLES OF SIMPLE USER-DEFINED FUNCTIONS

7.7  COMPARISON BETWEEN SCRIPT FILES AND FUNCTION FILES

7.8  ANONYMOUS FUNCTIONS

7.9  FUNCTION FUNCTIONS

7.9.1  Using Function Handles for Passing a Function into a Function Function

7.9.2  Using a Function Name for Passing a Function into a Function Function

7.10  SUBFUNCTIONS

7.11  NESTED FUNCTIONS

7.12  EXAMPLES OF MATLAB APPLICATIONS

7.13  PROBLEMS

Chapter 8   Polynomials, Curve Fitting, and Interpolation

8.1  POLYNOMIALS

8.1.1  Value of a Polynomial

8.1.2  Roots of a Polynomial

8.1.3  Addition, Multiplication, and Division of Polynomials

8.1.4  Derivatives of Polynomials

8.2  CURVE FITTING

8.2.1  Curve Fitting with Polynomials; The polyfit Function

8.2.2  Curve Fitting with Functions Other than Polynomials

8.3  INTERPOLATION

8.4  THE BASIC FITTING INTERFACE

8.5  EXAMPLES OF MATLAB APPLICATIONS

8.6  PROBLEMS

Chapter 9   Applications in Numerical Analysis

9.1  SOLVING AN EQUATION WITH ONE VARIABLE

9.2  FINDING A MINIMUM OR A MAXIMUM OF A FUNCTION

9.3  NUMERICAL INTEGRATION

9.4  ORDINARY DIFFERENTIAL EQUATIONS

9.5  EXAMPLES OF MATLAB APPLICATIONS

9.6  PROBLEMS

Chapter 10   Three-Dimensional Plots

10.1  LINE PLOTS

10.2  MESH AND SURFACE PLOTS

10.3  PLOTS WITH SPECIAL GRAPHICS

10.4  THE view COMMAND

10.5  EXAMPLES OF MATLAB APPLICATIONS

10.6  PROBLEMS

Chapter 11   Symbolic Math

11.1  SYMBOLIC OBJECTS AND SYMBOLIC EXPRESSIONS

11.1.1  Creating Symbolic Objects

11.1.2  Creating Symbolic Expressions

11.1.3  The findsym Command and the Default Symbolic Variable

11.2  CHANGING THE FORM OF AN EXISTING SYMBOLIC EXPRESSION

11.2.1  The collect, expand, and factor Commands

11.2.2  The simplify and simple Commands

11.2.3  The pretty Command

11.3  SOLVING ALGEBRAIC EQUATIONS

11.4  DIFFERENTIATION

11.5  INTEGRATION

11.6  SOLVING AN ORDINARY DIFFERENTIAL EQUATION

11.7  PLOTTING SYMBOLIC EXPRESSIONS

11.8  NUMERICAL CALCULATIONS WITH SYMBOLIC EXPRESSIONS

11.9  EXAMPLES OF MATLAB APPLICATIONS

11.10  PROBLEMS

Appendix: Summary of Characters, Commands, and Functions

Index

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