Contents

• Basic elements of MATLAB
  • What is MATLAB?
  • Starting and stopping
  • Commands in MATLAB
  • Help facilities
  • Arrays
  • Graphs
  • Script m-Files
  • User defined functions
  • Saving and loading data
  • Exercises
  
  
• The numerical toolbox
  • Introduction
  • Graph of a function
  • Zeroes
  • Extrema
  • Numerical integration
  • Polynomials
  • Exercises
  
  
• The symbolic toolbox
  • Introduction
  • Expressions with variables
  • Substitutions
  • Differentiation and integration
  • Numerical values
  • Manipulation of expressions
  • Symbols, strings and numbers
  • Exercises
  
  
• Linear algebra
  • Introduction
  • Matrices
    • Entering matrices
    • Matrices with symbolic elements
    • Entering vectors
    • Special matrices
    • Indices
  • Matrix operations in MATLAB
  • Solving sets of linear equations
    • The row reduced echelon form
    • Solving sets of equations with the Symbolic Toolbox
  • Numerical aspects of the use of MATLAB
  • Exercises
  
  
• Differential equations
  • Differential equations
  • Solving differential equations
    • Solving differential equations numerically
    • Sets of differential equations
    • The direction field
    • Plotting of integral curves
    • Example of numerical solution
  • Solving differential equations symbolically
    • First order differential equations
    • Sets of first order differential equations
    • Higher order differential equations
  • Exercises
  
  
• Programming in MATLAB
  • Programming
  • Some remarks about variables
  • Writing programs
  • Programming language constructs
    • For-loop
    • If statements
    • While-loop
  • Creating programs
  • Debugging
    • Structure variables
  • Exercises
  
  
• Simulink
  • Introduction
  • Creating a block diagram
    • Example of a block diagram
  • Constructing a Simulink model
  • Running a simulation
  • Example: Neuron model
  • Exercises
  
  
• Exercises
  • Exercises chapter 1
  • Exercises chapter 2
  • Exercises chapter 3
  • Exercises chapter 4
  • Exercises chapter 5
  • Exercises chapter 6
  • Exercises chapter 7