Brandeis:

Lecture notes:

Foundations Qualitative techniques Bifurcations Nonlinear systems Initial value problems Existence and uniqueness Solving linear equations Integrating factors

Harmonic oscillator Exponential solutions Damped harmonic oscillator Forced harmonic oscillator Beats and resonance

Linear systems introduction 3D linear systems Nonlinear models Linear independence and the Wronskian

Laplace transforms introduction Discontinuous forcing Second-order equations Introduction to control theory

Harvard: