This is a superb supplement, written by one of the leaders of using technology in the ODE course, that can be wrapped with any Prentice Hall Differential Equations text at a reduced price
Chapter 1. Introduction to MATLAB. Chapter 2. Plotting in MATLAB. Chapter 3. Introduction to DFIELD6. Chapter 4. The Use of Function M-files. The importance of using M-files in MATLAB has increased with each new version. An entire chapter is now devoted to the subject. Chapter 5. Numerical Methods for ODEs. How are numerical solutions computed? What kinds of errors are involved? Chapter 6. Advanced Use of DFIELD6. Chapter 7. Introduction to PPLANE6. Chapter 8. Solving ODEs in MATLAB. Chapter 9. Introduction to ODESOLVE. odesolve is a new ODE solver which wraps a graphical user interface around MATLAB's ODE solvers. It is configured much like dfield and pplane but will solve essentially any system of ODES. Chapter 10. The Symbolic Toolbox.It provides a way to check your work, and methods of finding exact solutions to differential equations and systems. Chapter 11. Linear Algebra Using MATLAB. Chapter 12. Homogeneous Linear Systems of ODEs. Chapter 13. Advanced Use of PPLANE6.