Array Creation

  Matrix and Array Operations

  Concatenation

  Complex Numbers

  Line Plots

  3-D Plots

  Subplots

  Sample Script

  Loops and Conditional Statements

  Script Locations

• Matrices and Magic Squares

  Entering Matrices

  sum, transpose, and diag

  The magic Function

  Generating Matrices

  Variables

  Numbers

  Matrix Operators

  Array Operators

  Functions

  Examples of Expressions

  The format Function

  Suppressing Output

  Entering Long Statements

  Command Line Editing

  Subscripts

  The Colon Operator

  Concatenation

  Deleting Rows and Columns

  Scalar Expansion

  Logical Subscripting

  The find Function

  Multidimensional Arrays

  Cell Arrays

  Characters and Text

  Structures

  Linear Algebra

  Function Handles

  Function Functions

  Introduction

  Preprocessing Data

  Summarizing Data

  Visualizing Data

  Modeling Data

• Basic Plotting Functions

  Plotting Multiple Data Sets in One Graph

  Specifying Line Styles and Colors

  Plotting Lines and Markers

  Graphing Imaginary and Complex Data

  Adding Plots to an Existing Graph

  Figure Windows

  Displaying Multiple Plots in One Figure

  Controlling the Axes

  Adding Axis Labels and Titles

  Saving Figures

  About Mesh and Surface Plots

  Visualizing Functions of Two Variables

  About Plotting Image Data

  Reading and Writing Images

  Overview of Printing

  Printing from the File Menu

  Exporting the Figure to a Graphics File

  Using the Print Command

  Graphics Objects

  Setting Object Properties

  Functions for Working with Objects

  Specifying Axes or Figures

  Finding the Handles of Existing Objects

• Control Flow

  Loop Control - for, while, continue, break

  Program Termination - return

  Vectorization

  Preallocation

  Overview

  Scripts

  Functions

  Types of Functions

  Global Variables

  Command vs. Function Syntax

• Creating and Concatenating Matrices

• Matrix Indexing

• Getting Information About a Matrix

• Resizing and Reshaping Matrices

• Shifting and Sorting Matrices

• Operating on Diagonal Matrices

• Empty Matrices, Scalars, and Vectors

• Full and Sparse Matrices

• Multidimensional Arrays

  Summary of Matrix and Array Functions

  MATLAB Linear Algebra Functions

• Matrices in the MATLAB Environment

• Systems of Linear Equations

• Inverses and Determinants

• Factorizations

• Powers and Exponentials

• Eigenvalues

  Singular Values

  Generating Random Numbers

  Controlling Random Number Generation

• Managing the Global Stream

• Creating and Controlling a Random Number Stream

  Multiple streams

• Updating Your Random Number Generator Syntax

  Selected Bibliography

• Function Summary

• Computational Advantages

• Constructing Sparse Matrices

• Accessing Sparse Matrices

• Sparse Matrix Operations

  Selected Bibliography

  Function Summary

  Representing Polynomials

  Evaluating Polynomials

  Roots of Polynomials

• Roots of Scalar Functions

  Derivatives

  Convolution

  Partial Fraction Expansions

  Polynomial Curve Fitting

  Characteristic Polynomials

  Overview

• Triangulation Representations

• Delaunay Triangulation

• Spatial Searching

• Voronoi Diagrams

• Convex Hulls

• Interpolating Gridded Data

• Interpolating Scattered Data

  Function Summary

• Optimizing Nonlinear Functions

• Example: Curve Fitting via Optimization

  Setting Options

  Iterative Display

• Output Functions

• Plot Functions

  Troubleshooting and Tips

  Reference

  Introduction

  Defining Functions In Files

  Anonymous Functions

  Example: Function Plotting Function

• Parameterizing Functions

• Ordinary Differential Equations

• Delay Differential Equations

• Boundary-Value Problems

• Partial Differential Equations

  Selected Bibliography for Differential Equations

• Integration

• Discrete Fourier Transform (DFT)

• Fast Fourier Transform (FFT)

  Function Summary