Teaching

Illinois Institute of Technology

Spring 2024 MATH 252, Introduction to Differential Equations.  42 students.

Fall 2023 MATH 252, Introduction to Differential Equations.  49 students.

University of Southern California

Spring 2023 MATH 425b, Fundamental Concepts of Analysis (part II). 16 students.

Fall 2022 MATH 425a, Fundamental Concepts of Analysis (part I). 23 students.

Fall 2022 MATH 226, Calculus III.  53 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.

Analysis I (These notes were used for MATH 521 at UW-Madison, during Spring 2019.)

I will eventually post an updated and significantly expanded version of the above notes (used in the two-semester analysis sequence Math 425ab at USC).  Please email me at tleslie "at" iit "dot" edu if you would like access to the preliminary versions.  

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.