- MATLAB computation
- Tutorials
- MathWorks
- MATLAB (online)
- MuPAD (.pdf) and a sample worksheet
- Symbolic Math Toolbox (.pdf)
- Optimization Toolbox (.pdf)

- Non-MathWorks
- The PDF for the text "Ordinary Differential Equations using MATLAB (3rd Edition)" can be found here. In particular, Chapters 1,2,5,8,11,12 will be especially useful.
- A nice tutorial by Toby Driscoll.
- The Department of Mathematics in Southern Illinois University at Carbondale has a nice set of online tutorials in numerical linear algebra here.
- A simple online tutorial can be found here.
- A tutorial by Peter Turner of Clarkson University can be found here.
- Richard Allen of the University of New Mexico has some online MATLAB help and code. In particular, he has a link to a MATLAB tutorial developed by Monika Nitsche.

- MathWorks
- MatCont continuation software in MATLAB can be found here

- Tutorials
- Sturm-Liouville theory
- Ulrich Gerlach has a nice set of online notes
- Linear algebra
- Jim Hefferon has a nice online book which would be suitable for Math 256
- The class notes associated with Hefferon's text
- A short discussion on quadratic forms and symmetric matrices
- Ordinary differential equations
- The notes for an undergraduate level class can be found here
- The notes for a graduate level class can be found here (semester 1) and here (semester 2)
- PPLANE for MATLAB - numerically solves autonomous planar systems
- Numerical differentiation via spectral methods
- "Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations", by L. Trefethen, can be found here
- The paper "A MATLAB differentiation matrix suite" can be found here, and the accompanying software can be found here
- LaTeX
- MiKTeX - LaTeX for Windows platforms
- WinEdt - Windows editor which integrates well with MiKTeX
- TeX Users Group - a great place to learn about all things related to LaTeX
- LaTeX cheat sheet
- LaTeX template (.tex,.pdf)

- Evans function
- Slide presentation - overview initially presented at the PIMS-VIGRE Workshop on Stability of Nonlinear Waves (2006)
- A review article published in Disc. Cont. Dyn. Systems
**10**(4):857-869 (2004) - An article by former Calvin student researcher Ben Lewis which was published in SIAM Undergraduate Research Online
**5**(2012)

- Galerkin approximation
- Chapter 3.6 in "Ordinary Differential Equations with Applications", by C. Chicone

Last updated 05/17/12 |