Sample Teaching Video
This is a sample teaching video introducing the idea of the Bias-Variance Trade-Off in the context of statistical learning. I envision this class session might come partway into a semester-long Data Science course that has introductory statistics as a prerequisite.
Calculus "Prework" Videos
In my Single and Multivariable Calculus class, I sometimes assign a brief introductory video over the weekend before we start a new concept in class. These videos provide a surface-level exposure and free up valuable class time for active engagement with the week's concept.
The video on the right reminds students of the limit definition of the derivative, focusing on a geometric interpretation. I often remind students they can turn me up to 2x speed if they prefer.
Asynchronous Lecture Videos
Last year during the worst of the COVID-19 pandemic, I taught my courses with a flipped classroom model. Students watched lecture videos before class time, then worked on homework problems in small groups (Zoom breakout rooms). Here I've embedded select lecture videos:
Laplace Transform and Delta Functions
This video is from an Intermediate Differential Equations course.
This video is from an advanced Partial Differential Equations course.
Fourier Series and Boundary Value Problems
Instructor, Harvey Mudd CollegeSpring 2022
Co-Instructor, Harvey Mudd CollegeFall 2021
Industrial Clinic Program
Advisor, Harvey Mudd CollegeFall 2021, Spring 2022
Spring 2021Single & Multivariable Calculus
Instructor, Harvey Mudd CollegeFall 2021
Intermediate Differential Equations
Instructor, Harvey Mudd CollegeSpring 2021
Math Forum (Public Speaking)
Instructor, Harvey Mudd CollegeFall 2020
Partial Differential Equations
Co-Instructor, Harvey Mudd CollegeFall 2020
Instructor, St. Olaf CollegeFall 2018
Instructor, University of MinnesotaSummer 2015
Course Supervisor, University of MinnesotaFall 2017
This was an Intensive Precalculus course, including an accelerated unit from College Algebra
This course had only 31 students, unusual for a lecture at UMN
Intro to Proofs
Analysis, with Professor Mosher, University of Minnesota (UMN)Fall 2015Spring 2014
This was a writing-intensive course.
Linear Algebra and Differential Equations
Honors, with Professor Webb, UMNSpring 2019
Honors, with Dr. Lewis, UMNFall 2016
for Engineers, with Professor Zhu, UMNSpring 2015
This course included computer labs with Matlab
Honors, with Dr. Lewis, UMNSpring 2017
with Professor Gulliver, UMNSpring 2016
for Engineers, with Professor Diaconu, UMNFall 2014
This course included computer labs with Mathematica
with Professor Marden, UMNFall 2013
This concept web was created by my students through a group activity.