Differential Equations: An Introduction for Engineers
This is the free, open-source, open-access textbook that I have been working on for Math 244. It is based on Notes on Diffy Qs, a text by Jiri Lebl, but with adjustments made to better fit the course run at Rutgers. The main adjustments and improvements to the text are:
- Addition of an appendix on MATLAB, providing an introduction to the basic syntax of coding and the code provided with the course,
- Addition of a section on Mathematical Modeling, including information on parameter estimation,
- Rearrangement of topics in certain sections, including adding a section on Eigenvalues to the Linear Algebra chapter,
- Snippets of MATLAB code illustrating several concepts, and
- Addition of many more exercises throughout the text.
As of now, the topics in the textbook are:
- First Order Equations
- Second Order Equations
- Linear Algebra
- Linear Systems of Differential Equations
- Non-Linear Systems of Differential Equations
In addition, the beta version of the book contains the beginnings of material to be used in Math 421. These topics include
- Series Solutions to Differential Equations
- The Laplace Transform
- Orthogonality
- Fourier Series
- The Fourier Transform
The current version of the textbook (version beta) can be found here.