Brandeis:

• • Spring 2019: Math 40a, Intro to Applied Math (syllabus)
• Fall 2018: Math 37a, Differential Equations (syllabus)

Lecture notes:

First-order equations

Foundations

Qualitative techniques

Bifurcations

Nonlinear systems

Initial value problems

Existence and uniqueness

Solving linear equations

Integrating factors

Second-order equations

Harmonic oscillator

Exponential solutions

Damped harmonic oscillator

Forced harmonic oscillator

Beats and resonance

Systems of differential equations

Linear systems introduction

3D linear systems

Nonlinear models

Linear independence and the Wronskian

Laplace transforms

Laplace transforms introduction

Discontinuous forcing

Second-order equations

Introduction to control theory

Harvard:

• Spring 2017: AM111, Intro to Scientific Computing (syllabus)

Lecture notes:

Foundations

Linear Algebra Review

Gaussian Elimination

Least Squares

Interlude on Polynomial Interpolation

Singular Value Decomposition

Partial Differential Equations

 

• Fall 2016: AM205, Physical Mathematics I (introductory slides) 
• Spring 2016: AM111, Intro to Scientific Computing
• Spring 2015: AM111, Intro to Scientific Computing