Teaching
My main goals as an instructor are to develop, in my students, (i) tenacity and creativity in
problem solving, (ii) mastery of both conceptual and practical course materials, and (iii)
excitement for content matter. To these ends, I carefully plan each class with appropriate
examples and exercises to best help students thrive in the classroom. I employ active classroom
strategies and foster a classroom environment that encourages collaboration and a growth mindset.
Codes for class demonstrations are available here
Courses at The College of New Jersey
Calculus A (MAT 127), Fall 2017, Fall 2018, Fall 2019, Fall 2020, Spring 2022
Introductory calculus course covering limits, continuity, differentiation, and introduction to integration.
Calculus B (MAT 128), Spring 2024
Second-level calculus course covering integration techniques, sequences/series, and parametrized curves.
Linear Algebra (MAT 205), Fall 2017, Fall 2021, Spring 2023
Solutions of linear systems, matrices, linear transformations, linear independence, determinants, abstract vector spaces.
Introduction to Computing (MAT 270), Fall 2023
Introduction of programming for math majors covering functional programming in MATLAB. Topics include variables, functions, conditional statements, loops, debugging, and some introductory algorithms.
Real Analysis (MAT 310), Spring 2018, Spring 2019, Spring 2021, Fall 2022
Analysis for functions of a single real variable.
Topics include order, completeness, sequences, series, limits of functions, basic topology of the reals,
differentiation, integration, sequences and series of functions and transcendental functions.
Differential Equations (MAT 326), Spring 2020, Fall 2023
An introduction to differential equations and their applications to real world phenomena.
Topics include first and second order ordinary differential equations and
analytical/numerical/qualitative approaches to studying their solutions, mathematical modeling and compartmental analysis.
Partial Differential Equations (MAT 426), Fall 2020, Fall 2022
An introduction to partial differential equations and their applications to real world phenomena.
The course focuses on the study of the heat, wave, and Laplace equations. Topics include model derivation,
existence/uniqueness of solutions, Fourier series, Sturm-Liouville theory, and numerical methods.
Functional Analysis (MAT 492), Fall 2023
(Small group study). Introduction to functional analysis. Topics include the study of
Banach and Hilbert spaces, linear operators, dual spaces, weak topologies, compact operators, and their spectra.
Senior Capstone (MAT 498/STA498), Spring 2022, Spring 2024
Intensive study of advanced topics in mathematics and statistics. Students write and present an expository paper in mathematics.
