Math 524 is the second semester of ODE, following the first semester course, Math 383.

The text for the course is “Introduction to Differential Equations,” by Michael Taylor.

Here is an essay describing my motivation to produce this text, and discussing how it differs from many texts commonly used in ODE courses.

Here is some supplementary material for this text (extra exercises, etc.).

Here is the syllabus for Math 524.

Further material, having some overlap with the main text and also covering some more advanced topics, can be found here.

Basic Theory of ODE and Vector Fields

Here is an updated edition of “Introduction to Differential Equations.”

Introduction to Differential Equations

Due to the health crisis of 2020, and the need for remote instruction, I prepared a set of worksheets to go along with the material covered in Math 524 in Fall 2020. These worksheets also served as a guide for what we did in the Fall of 2022, except the dates were different.