Bioe 310: Computational Tools for Biological Data (UIUC, 2021)
A course on fundamental and applied statistics, including probability distributions, parameter estimation, descriptive statistics, hypothesis testing, and regression models. Covers applications of statistical methods in genomics including sequence analysis, gene expression data analysis, human genomic variation, regulatory genomics, and cancer genomics.
My responsibilities include guiding discussion groups, guest lecturing, holding office hours by appointment, preparing assignments and exams and supervising graders.
Phys 367: Computational Methods (Reed, 2019)
An upper level college course on numerical analysis. This course focuses on diverse physical problems and computational techniques that can be applied to them, with an emphasis on the mathematical motivation behind the methods. Problems are drawn from electrodynamics, quantum mechanics, classical mechanics, and special and general relativity. The course develops methods for solving ODEs and PDEs and integrating arbitrary functions in multiple dimensions. Numerical linear algebra is covered in both full and iterative form. Additional topics include nonlinear minimization, Galerkin methods, neural network models, and chaotic dynamics.
My responsibilities included creating grading rubrics and grading written and programming assignments. I also had weekly meetings with the course instructor to discuss students' level of mastery on the graded assignments.
Math 201: Linear Algebra (Reed, 2017-19)
A college course focusing on a rigorous exploration of linear algebra, the study of solutions to linear systems of equations and linear transformations between vector spaces. A brief introduction to field structures, followed by presentation of the algebraic theory of finite dimensional vector spaces. Topics include linear transformations, determinants, eigenvalues, eigenvectors, diagonalization. Geometry of inner product spaces is examined in the setting of real and complex fields.
My responsibilities included providing individual tutoring to students registered for the course. Tutoring focused on specific problem sets, topics or concepts from the course in general.
SPM Physics (SMKWM, 2015)
A two-year-long high school course on general physics. Provides an introduction to physical measurements and units, classical mechanics of particles and systems, thermodynamics, waves, electricity and magnetism, electronics and radiation.
My responsibilities included creating lesson plans, giving lectures, holding office hours and grading homework and exams. I also designed and led several lab sessions to flesh out the topics covered in the lectures.
