Teaching
For Spring 2023, I am teaching Math 425b, Fundamental Concepts of Analysis (part II).
In lieu of a course textbook, we will use a set of notes I wrote for a previous version of the course. All course materials will be available on Blackboard. (The updated course notes will eventually be posted publicly.)
Here is my Teaching Statement (updated October 2022).
See below for a list of courses I have taught in the past, my first-semester Analysis notes, and a collection of other miscellaneous notes and handouts.
Past Teaching
University of Southern California
Fall 2022 MATH 425a, Fundamental Concepts of Analysis (part I). 23 students.
Fall 2022 MATH 226, Calculus III. 54 students
Spring 2022 MATH 425b, Fundamental Concepts of Analysis (part II). 17 students.
Spring 2022 MATH 129, Calculus II for Engineers and Scientists. 49 students.
Fall 2021 MATH 245, Mathematics of Physics and Engineering I. 45 students.
University of Wisconsin, Madison
Fall 2020 MATH 415, Applied Dynamical Systems, Chaos, and Modeling. Online; 60 students.
Fall 2020 MATH 234, Multivariable Calculus. Online; 260 students.
Spring 2020 MATH 522, Analysis II. 2nd half online; 24 students.
Fall 2019 MATH 340, Elementary Matrix and Linear Algebra. 2 sections, 350 students.
Spring 2019 MATH 521, Analysis I. 35 students.
Fall 2018 MATH 521, Analysis I. 35 students.
University of Illinois at Chicago
Fall 2016 MATH 210, Multivariable Calculus. 24 students.
Course Notes
These notes were used for MATH 521 at UW-Madison, during Spring 2019.
Notes I wrote for UW's Math 340 (Elementary Matrix and Linear Algebra) and Math 522 (Analysis II) are available upon request. Please email me at lesliet "AT" usc "DOT" edu if you would like to see them.
Other Notes
What Does it Mean to Sum Infinitely Many Numbers?
Handout for a Math Circle, May 3, 2021
Homogenization for Elliptic PDEs via Two-Scale Convergence
These notes serve as a concise introduction to two-scale convergence. I wrote them in preparation for a sequence of two 1-hour talks that I gave at the Winter School in Multiscale Methods and Applications in March 2016, held at the University of Illinois at Chicago.