To the MHF Community,

It's been over a year since I have updated this differential equations tutorial of mine.

Some of you have PMed me about errors/typos found in this tutorial, why certain topics aren't covered, etc. But I just haven't had the time lately to fix them or add missing topics since most of my time is devoted to my coursework (since I'm a full time Ph.D. student now). However, this summer (starting in June), I will be redoing this entire differential equations tutorial and re-release it as a mini-book (it may not be mini when I'm through with it... ) of some kind; meaning, it will have the theory explained in a more, precise detail. It will also have examples illustrating various techniques outlined in each section as well as a few exercises for you to attempt. At first I will not include solutions to these exercises, but in the months after releasing this to the public on MHF I will include solutions to selected exercises outlined in each section/chapter (the format is still yet to be decided).

The chapter outline will be something like:

Chapter 0- Calculus Review

- Ordinary Differential Equations (to be released end of summer 2011)Part 1

Chapter 1- First Order Differential Equations

Chapter 2- Second and Higher Order Differential Equations

Chapter 3- Solving Differential Equations by Numerical Methods

Chapter 4- Matrix Methods and Systems of Differential Equations

Chapter 5- Laplace Transforms

Chapter 6- Power Series Solutions to Differential Equations

- Partial Differential Equations (to be released sometime in 2012)Part 2

Chapter 7- Introduction to Partial Differential Equations

Chapter 8- Fourier Series

Chapter 9- The Wave, Heat, and Laplace Equations

Chapter 10- Solving Partial Differential Equations by Various Methods

Chapter 11- Green's Functions

Chapter 12- Solving Partial Differential Equations by Numerical Methods

If you would like to contribute to this project, send me a PM and we can discuss it in more detail. If I use any of your work in my book, you will be acknowledged.

I will close this thread in the meantime, and I will post updates when I'm able.

Thread Closed.