My Math 312 sections are run primarily out of Macalester’s Moodle course management system, but here are links to publicly available course materials:

Introduction to the course

Introduction to differential equations

Numerical solutions

First order equations

Complex numbers

Linear equations with constant coefficients: homogeneous

Linear equations with constant coefficients: inhomogeneous

Power series solutions

Introduction to dynamical systems

Advanced 1-d flows

Dimensional analysis

Nondimensionalization

Bifurcations of dynamical systems

Linear algebra review

Solving systems of linear ODEs

Linear dynamical systems

Nonlinear dynamical systems

Conservative systems

Chaos