MATLAB for Engineers

ABOUT THIS BOOK XI

DEDICATION AND ACKNOWLEDGMENTS XV



1 ABOUT MATLAB (R) 1



1.1 What Is MATLAB (R)? 1

1.2 Student Edition of MATLAB (R) 2

1.3 How Is MATLAB (R) Used in Industry? 3

1.4 Problem Solving in Engineering and Science 5



2 MATLAB (R) ENVIRONMENT 9

2.1 Getting Started 9

2.2 MATLAB (R) Windows 11

2.3 Solving Problems with MATLAB (R) 18

2.4 Saving Your Work 42

Summary 52

MATLAB (R) Summary 54

Key Terms 55

Problems 55



3 BUILT-IN MATLAB (R) FUNCTIONS 63

Introduction 63

3.1 Using Built-In Functions 63

3.2 Using the Help Feature 65

3.3 Elementary Math Functions 68

3.4 Trigonometric Functions 76

3.5 Data Analysis Functions 80

3.6 Random Numbers 100

3.7 Complex Numbers 104

3.8 Computational Limitations 108

3.9 Special Values and Miscellaneous Functions 109

3.10 Summary 111

MATLAB (R) Summary 112

Key Terms 113

Problems 114



4 MANIPULATING MATLAB (R) MATRICES 121

4.1 Manipulating Matrices 121

4.2 Problems with Two Variables 128

4.3 Special Matrices 135

Summary 141

MATLAB (R) Summary 142

Key Terms 142

Problems 142



5 PLOTTING 149

Introduction 149

5.1 Two-Dimensional Plots 149

5.2 Subplots 166

5.3 Other Types of Two-Dimensional Plots 168

5.4 Three-Dimensional Plotting 183

5.5 Editing Plots from the Menu Bar 189

5.6 Creating Plots from the Workspace Window 191

5.7 Saving Your Plots 192

Summary 193

MATLAB (R) Summary 193

Problems 195



6 USER-DEFINED FUNCTIONS 205

Introduction 205

6.1 Creating Function M-Files 205

6.2 Creating Your Own Toolbox of Functions 224

6.3 Anonymous Functions and Function Handles 226

6.4 Function Functions 227

6.5 Subfunctions 228

Summary 231

MATLAB (R) Summary 232

Key Terms 233

Problems 233



7 USER-CONTROLLED INPUT AND OUTPUT 240

Introduction 240

7.1 User-Defi ned Input 240

7.2 Output Options 244

7.3 Graphical Input 254

7.4 More Cell Mode Features 255

7.5 Reading and Writing Data from Files 260

7.6 Debugging Your Code 263

Summary 266

MATLAB (R) Summary 267

Key Terms 268

Problems 268



8 LOGICAL FUNCTIONS AND SELECTION STRUCTURES 273

Introduction 273

8.1 Relational and Logical Operators 274

8.2 Flowcharts and Pseudocode 276

8.3 Logical Functions 277

8.4 Selection Structures 284

8.5 Debugging 300

Summary 301

MATLAB (R) Summary 301

Key Terms 302

Problems 302



9 REPETITION STRUCTURES 311

Introduction 311

9.1 For Loops 312

9.2 While Loops 320

9.3 Break and Continue 328

9.4 Midpoint Break Loops 329

9.5 Nested Loops 333

9.6 Improving the Effi ciency of Loops 334

Summary 336

Key Terms 337

Problems 337



10 MATRIX ALGEBRA 343

Introduction 343

10.1 Matrix Operations and Functions 343

10.2 Solutions of Systems of Linear Equations 363

10.3 Special Matrices 379

Summary 381

MATLAB (R) Summary 383

Key Terms 384

Problems 384



11 OTHER KINDS OF ARRAYS 391

Introduction 391

11.1 Data Types 392

11.2 Multidimensional Arrays 401

11.3 Character Arrays 403

11.4 Cell Arrays 408

11.5 Structure Arrays 409

Summary 417

MATLAB (R) Summary 417

Key Terms 418

Problems 418



12 SYMBOLIC MATHEMATICS 424

Introduction 424

12.1 Symbolic Algebra 425

12.2 Solving Expressions and Equations 435

12.3 Symbolic Plotting 446

12.4 Calculus 454

12.5 Differential Equations 468

12.6 Converting Symbolic Expressions to MATLAB (R) Functions 470

Summary 471

MATLAB (R) Summary 473

Problems 474



13 NUMERICAL TECHNIQUES 484

13.1 Interpolation 484

13.2 Curve Fitting 494

13.3 Using the Interactive Fitting Tools 505

13.4 Differences and Numerical Differentiation 512

13.5 Numerical Integration 520

13.6 Solving Differential Equations Numerically 526

Summary 533

MATLAB (R) Summary 535

Key Terms 536

Problems 536



14 ADVANCED GRAPHICS 545

Introduction 545

14.1 Images 545

14.2 Handle Graphics 561

14.3 Animation 565

14.4 Other Visualization Techniques 571

14.5 Introduction to Volume Visualization 573

Summary 576

MATLAB (R) Summary 577

Key Terms 578

Problems 579



15 CREATING GRAPHICAL USER INTERFACES 581

Introduction 581

15.1 A Simple GUI with One User Interaction 582

15.2 A Graphical User Interface with Multiple User

Interactions Ready_Aim_Fire 590

15.3 An Improved Ready_Aim_Fire Program 593

15.4 A Much Better Ready_Aim_Fire Program 594

15.5 Built-In GUI Templates 598

Summary 602

Key Terms 602

Problems 602



16 SIMULINK (R) A BRIEF INTRODUCTION 604

Introduction 604

16.1 Applications 604

16.2 Getting Started 605

16.3 Solving Differential Equations with Simulink (R) 613

Summary 618

Key Terms 619

Problems 619



APPENDIX A SPECIAL CHARACTERS, COMMANDS, AND

FUNCTIONS 623

APPENDIX B SCALING TECHNIQUES 638

APPENDIX C THE READY_AIM_FIRE GUI 641

INDEX 646