Teaching

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