Special MATLAB-Augmented Presentations

During the semester there will be three MATLAB-augmented lectures. In fact these three are among a total of six special MATLAB-augmented lectures that have been prepared for students' benefit. Those lectures, in which the lecturer runs and displays specially prepared MATLAB M-files, are intended to illustrate:

how some of the most important topics in the course can be addressed via MATLAB;
techniques for solving ode problems using MATLAB;
some standard methods that you will learn in the course to solve differential equations -- with or without MATLAB;
how MATLAB graphics, symbolics and numerics can be integrated to present attractive solutions to problems in differential equations.

Because of the limitations of time, there is only ample space to include three of the six special lectures in the teaching schedule. Students are encouraged to download and run all of the lectures. They may be accessed via the Internal Links box on the main Course Notes page according to the following table:

Stability of First Order Initial Value Problems in I.5, Graphical Methods.
Numerical and Graphical Methods for First Order Equations in I.7, Numerical Methods; scheduled to be presented in class on Tuesday, February 24.
Second Order Linear Equations and the Airy Functions in II.2, Homogeneous Equations: General Methods and Theory.
Transforms, especially the Laplace Transform in II.9, Laplace Transform Method.
Homogeneous Linear Planar Systems with Constaant Coefficients in III.6, Linear Planar Systems: Phase Portraits; scheduled to be presented in class on Thursday, April 23.
Non-Linear Systems in III.8, Autonomous Planar Systems: Nonintegral methods; scheduled to be presented in class on Tuesday, May 12.

Much of the content for these lectures is adapted from HOLR. It will be your responsibility to pick up the corresponding material from NODE as less class time will be devoted to NODE treatment of topics covered in the special presentations than to other topics not similarly treated.

Back to main page