Index

Part I. Essentials Chapter 1. Introduction 1.1 Using MATLAB 1.2 The desktop 1.3 Sample program Chapter 2. MATLAB Fundamentals 2.1 Variables 2.2 The workspace 2.3 Arrays: Vectors and matrices 2.4 Vertical motion under gravity 2.5 Operators, expressions, and statements 2.6 Output 2.7 Repeating with for 2.8 Decisions 2.9 Complex numbers Summary Chapter exercises Chapter 3. Program Design and Algorithm Development 3.1 The program design process 3.2 Programming MATLAB functions Summary Chapter exercises Chapter 4. MATLAB Functions and Data Import-Export Utilities 4.1 Common functions 4.2 Importing and exporting data Summary Chapter exercises Chapter 5. Logical vectors 5.1 Examples 5.2 Logical operators 5.3 Subscripting with logical vectors 5.4 Logical functions 5.5 Logical vectors instead of elseif ladders Summary Chapter exercises Chapter 6. Matrices and Arrays 6.1 Matrices 6.2 Matrix operations 6.3 Other matrix functions 6.4 Population growth: Leslie matrices 6.5 Markov processes 6.6 Linear equations 6.7 Sparse matrices Summary Chapter exercises Chapter 7. Function M-files 7.1 Example: Newton’s method again 7.2 Basic rules 7.3 Function handles 7.4 Command/function duality 7.5 Function name resolution 7.6 Debugging M-files 7.7 Recursion Summary Chapter exercises Chapter 8. Loops 8.1 Determinate repetition with series for 8.2 Indeterminate repetition with series while Summary Chapter exercises Chapter 9. MATLAB Graphics 9.1 Basic 2-D graphs 9.2 3-D plots 9.3 Handle Graphics 9.4 Editing plots 9.5 Animation 9.6 Color etc. 9.7 Lighting and camera 9.8 Saving, printing and exporting graphs Summary Chapter exercises Chapter 10. Vectors as Arrays and Other Data Structures 10.1 Update processes 10.2 Frequencies, bar charts, and histograms 10.3 Sorting 10.4 Structures 10.5 Cell arrays 10.6 Classes and objects Summary Chapter 11. Errors and Pitfalls 11.1 Syntax errors 11.2 Logic errors 11.3 Rounding error Summary Chapter exercises Part II. Applications Chapter 12. Dynamical Systems 12.1 Cantilever beam 12.2 Electric current 12.3 Free fall 12.4 Projectile with friction Summary Chapter exercises Chapter 13. Simulation 13.1 Random number generation 13.2 Spinning coins 13.3 Rolling dice 13.4 Bacteria division 13.5 A random walk 13.6 Traffic flow 13.7 Normal (Gaussian) random numbers Summary Chapter exercises Chapter 14. Introduction to Numerical Methods 14.1 Equations 14.2 Integration 14.3 Numerical differentiation 14.4 First-order differential equations 14.5 Linear ordinary differential equations (LODEs) 14.6 Runge-Kutta methods 14.7 A partial differential equation 14.8 Other numerical methods Chapter 15. Signal Processing 15.1 Harmonic analysis 15.2 Fast Fourier Transform (FFT) Chapter 16. SIMULINK® Toolbox 16.1 Mass-spring-damper dynamic system 16.2 Bouncing ball dynamic system 16.3 The van der Pol oscillator 16.4 The Duffing oscillator Chapter exercises Chapter 17. Symbolics Toolbox 17.1 Algebra 17.2 Calculus 17.3 Laplace and Z transforms 17.4 Generalized Functions 17.5 Differential equations 17.6 Implementation of funtool, MuPAD, and help Chapter exercises