Teaching

I regularly teach graduate-level and undergraduate-level courses on differential equations and other topics in applied analysis. See below for the materials related to some of the courses I teach regularly.

I am on sabbatical during the academic year 2025–2026.

Selected Courses Taught

At the University of Cincinnati

  • MATH 8009 Advanced Partial Differential Equations (graduate-level)
  • MATH 7006 Partial Differential Equations (graduate-level)
  • MATH 7015 Numerical Linear Algebra (graduate-level)
  • MATH 6007 Partial Differential Equations & Fourier Analysis (graduate-level)
  • MATH 2074 Dynamical Systems

At the University of Michigan

  • MATH 471 Introduction to Numerical Methods
  • MATH 454 Boundary Value Problems
  • MATH 216 Introduction to Differential Equations
  • MATH 185 Honors Calculus

Course Materials

You can find below materials such as notes, assignments, Jupyter notebooks, etc., for some of the courses I have taught recently.



Numerical Linear Algebra
Numerical Linear Algebra

Graduate-level course on algorithms that play a central role in numerical linear algebra. Being taught at the University of Cincinnati in Spring 2025 and in development. Lecture notes in the form of Jupyter notebooks are available.

Jan 1, 2025
Ordinary Differential Equations
Ordinary Differential Equations

Undergraduate-level course on the qualitative study of ordinary differential equations. Taught at the University of Michigan (Math 216: Differential Equations) in Winter 2017, Fall 2017, Winter 2018, and Spring 2018, and taught at the University of Cincinnati (Math 2074: Dynamical Systems) in Fall 2021. Full set of lecture notes and Jupyter notebooks are available.

Oct 24, 2023
Partial Differential Equations
Partial Differential Equations

Graduate-level course on the qualitative study of partial differential equations posed on subsets of $\mathbb{R}^n$. Taught at the University of Cincinnati (Math7006) in Spring 2020 and Spring 2021 semesters. Full set of lecture notes are available.

Jan 24, 2022