Teaching

Brandeis:

Fall 2022: Math 122a, Numerical Methods and Big Data (syllabus)

Math 234a, Partial Differential Equations (syllabus)

Spring 2022: Math 40a, Intro to Applied Math (syllabus)

Math 162a, Numerical Methods for Scientific Computing (syllabus)

Spring 2021: Math 40a, Intro to Applied Math

Fall 2020: Math 37a, Differential Equations (syllabus)
Spring 2020: Math 162a, Numerical Methods for Scientific Computing
Fall 2019: Math 40a, Intro to Applied Math
Spring 2019: Math 40a, Intro to Applied Math
Fall 2018: Math 37a, Differential Equations

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