This is an Annotated Bibliography for my Math 259 Linear Algebra and Differential Equations course at the Bilgi University in Fall 2011.

- Jiri Lebl,
**Notes on Diffy Qs**, http://www.jirka.org/diffyqs/diffyqs.pdf

These notes by Jiri Lebl will be our main reference for the course. These are a very readable set of notes, much lighter to carry than all of the standard texts on differential equations also they are free.

This is Jiri Lebl’s web site dedicated to the Notes on Diffy Qs. You can also find the related software here.

- Bob Terrell,
**Notes on Differential Equations**, http://www.math.cornell.edu/~bterrell/dn.pdf

This is a wonderful set of notes by Bob Terrell. He explains how to read differential equations, perhaps the most important skill you will need about differential equations. This is a fun text to read, it is as interactive a text on paper can get. If you follow his advice and do the exercises as asked, you will have a good understanding of a differential equation.

This set of notes are perhaps the easiest to read by yourself.

Here you can find Bob Terrell’s web page, which contains software on differential equations. One of the nice sides of differential equations is that they can be visualized, and many tools are available.

- Mike Brown, Ge 108: Applications of Physics to the Earth Sciences, http://www.gps.caltech.edu/~mbrown/classes/ge108

If you read only few pages from Mike Brown’s notes, read the first lecture how an equation about population decay is formed. Same equation appears under the name *Banker’s Equation *in Bob Terrell’s notes. The two equations *essentially* differ only by a *sign*.

- F. Patrone, Introduction to modeling via differential equations, http://www.diptem.unige.it/patrone/differential_equations_intro.htm

Title explains is all. This is a short write-up which describes how one forms a differential equation to model a certain process. In the meantime, Patrone describes the crucial attributes in the theory of differential equations, existence, uniqueness, continuous dependence on the initial data etc.

* Plus* is an online popular-mathematics magazine run under the Millennium Mathematics Project at the University of Cambridge.

In this issue, it collects all articles that are published in * Plus* on Mathematical Modeling.

- A. C. Fowler,
**Techniques of Applied Mathematics**, http://people.maths.ox.ac.uk/fowler/courses/tech/technotes.pdf

This is the most advanced text of all. Still a pleasure to read. Would be educative to read the first chapter, Introduction, if nothing else.

*Sage*. We can use more specialized software directly aimed at differential equations, but it also makes sense to use a more general software platform, capable of doing several different things at once.