teaching

University of California, San Diego | Mechanical & Aerospace Engineering (MAE)

MAE 40 - Linear Circuits

  • Term: Winter 2026
  • Description: Introductory circuitry.
  • Tasks: Teaching assistant who held office hours once per week and graded assignments.
  • Topics:
    • Singular value decomposition
    • 4 fundamental subspaces of linear algebra
    • Laplace transform
    • Bode plots
    • Low-pass, high-pass, & notch filters
    • Diodes & transistors
    • Operational amplifiers
    • Signal transmission & characteristic impedance

Stony Brook University | Applied Mathematics & Statistics (AMS)

AMS 210 – Applied Linear Algebra

  • Term: Fall 2023, Spring 2024
  • Description: Introductory linear algebra.
  • Tasks: Teaching assistant who held review lectures for Exams 1, 2, and 3 in Fall 2023. In Spring 2024 I taught during office hours. Office hours were held twice per week each semester.
  • Topics:
    • Matrix algebra, norms, and determinants
    • Gaussian elimination
    • LU decomposition
    • Jacobi iteration
    • Eigenvalue decomposition
    • Conditiondness, stability, and computational complexity
    • Markov chains
    • Least-squares regression via pseudoinverse
    • Vector space theory
    • Applications to econometrics, population ecology, & machine learning

AMS 361 – Applied Calculus IV: Differential Equations

  • Term: Fall 2024
  • Description: Introductory ordinary differential equations (ODEs).
  • Tasks: Teaching assistant who held two 1-hour lectures per week. Office hours were held twice per week each semester.
  • Topics:
    • Classification of ODEs
    • Separable, Bernoulli, exact, and Riccati ODEs
    • Constant coefficient ODEs
    • Cauchy-Euler ODEs
    • Linear independence and the Wronskian
    • Method of undetermined coefficients and variation of parameters
    • Systems of inhomogenous ODEs
    • Generalized eigenvectors
    • Laplace transforms and convolutions
    • Applications to growth models and fluid dynamics