MATLAB: An Introduction with Applications

Chapter Preface: Preface

Chapter Introduction: 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

Chapter Appendix: Summary of Characters, Commands, and Functions

Chapter Answers to Selected Problems: Answers to Selected Problems