Teaching

Publicly-available course materials

Network Science: Models, Mathematics, and Computation

Full lecture notes (including Google Colaboratory links) 

Mathematical Analysis

The links below are the student-facing notes for a semi-flipped class based on Rudin's Principles of Analysis Chapters 1-5. The full notes, in-class slides, and LaTeX files are available to instructors upon request — please contact me!

Mathematical Writing

Part 1: Sets, Topology, and Metric Spaces

• Induction

• Countability

• Fields, Order, and Bounds

• Metric Spaces

• Open and Closed Sets

• Closure and Dense Sets

• Open Covers and Compact Sets

• Compactness Theorems

• Compact Sets and the Reals

Part 2: Sequences and Series

• Sequences

• Subsequences and Cauchy Sequences

• Sequences and the Reals (Completeness)

• Constructing the Reals

• Completion of Metric Spaces

• Series

• Convergence Tests for Series

• Sums, Products, and Rearrangements of Series

Part 3: Functions

• Limits and continuity of functions

• Continuity, Continued

• The Derivative

• Differentiability, Continuity, and Pointwise Convergence

• Uniform Convergence

Current courses

In Fall 2024, I am teaching Math 180: Partial Differential Equations and Math 189AI: Network Science.

Previous and upcoming courses

Harvey Mudd College

Math 118A: Mathematical Biology (Spring 2025)
Math 131: Mathematical Analysis (Fall 2020, Fall 2022, Fall 2023, Spring 2024, Spring 2025)
Math 181: Dynamical Systems (Spring 2023)
Math 180: Partial Differential Equations (Fall 2022)
Math 73: Linear Algebra (Spring 2021, Spring 2022, Spring 2023)
Math 189: Mathematics of Democracy (Fall 2021)

UCLA

Math 168: Introduction to Networks (Spring 2020)
Math 142: Mathematical Modeling (Fall 2019)
Math 197: Reading Course in Nonlinear Dynamics (Spring 2019)
Math 134: Linear & Nonlinear Systems of Differential Equations (Fall 2018, Winter 2019)

University of Utah

Math 3140: Vector Calculus and PDEs (Spring 2018)
Math 1210: Calculus I (Fall 2017)
Math 2270: Linear Algebra (Spring 2017)
Math 3150: PDEs for Engineers (Summer 2016, Fall 2016)
Math 1050: College Algebra (Summer 2013)
Math 1010: Intermediate Algebra (Spring 2013, Spring 2014)
Math 1030: Intro to Quantitative Reasoning (Fall 2012)