## Differential Equations and Linear Algebra

By Marshall Hampton

### About

This online book was primarily developed from lecture notes for the University of Minnesota Duluth course Math 3280. It is a work in progress, and will be expanded during the fall of 2020.

### Contents

- First Order ODEs Fundamentals
- Applications and Numerical Approximations
- Matrices and Linear Systems
- Vector Spaces
- Higher Order ODEs
- Eigenvectors and Eigenvalues
- Systems of Differential Equations
- Nonlinear Systems and Linearizations
- The Laplace Transform
- Power series solutions
- Appendices

### Other Resources

Some other resources that may be helpful:

### License

This work (text, mathematical images, and javascript applets) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License. Biographical images are from Wikipedia and have their own (similar) licenses.