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, but is largely complete for the topics taught in that course.

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:

• MIT ODE lectures and course materials
• Grant Sanderson's Essence of Linear Algebra

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.