Annotated Bibliography: Math 259 – Linear Algebra and Differential Equations

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

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.

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.

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.

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.

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.

This is the main website for 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.
Sage is huge; we will use it selectively.
There are many Sage Notebook Servers available with many public pages, where you can find many examples.

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