teaching

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

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