Teaching & Mentorship

In the Fall 2025 semester, I am TAing for three sections of MATH 1131Q: Calculus I. Below is a course description, along with descriptions for courses I have taught or TAed for previously. If you are a student and have questions, I'm happy to discuss them over email or during my office hours.

Course Descriptions

MATH 1071Q: Calculus for Business & Economics

Semesters: Fall 2024 & Spring 2025

Derivatives and integrals of algebraic, exponential and logarithmic functions. Applications to business and economics. Rec. prep.: MATH 1011 or the equivalent, and MATH 1070, and a qualifying score on the mathematics placement assessment. Only one credit for students who have passed MATH 1121, 1131, or 1151. Not open to students who have passed MATH 1110.

MATH 1131Q: Calculus I

Semesters: Fall 2023 & Fall 2025

Limits, continuity, differentiation, antidifferentiation, definite integral, with applications to the physical sciences and engineering sciences. Suitable for students with some prior calculus experience. Substitutes for MATH 1120, 1126 or 1151 as a requirement. Two credits for students who have passed MATH 1125. Enrollment requirements: a qualifying score on the mathematics placement assessment. Students cannot receive credit for MATH 1131Q and MATH 1120Q, 1121Q, 1126Q, or 1151Q (2 credits for students who have passed MATH 1125Q). May not be taken out of sequence after passing MATH 1132Q.

MATH 1132Q: Calculus II

Semester: Spring 2024

Transcendental functions, formal integration, polar coordinates, infinite sequences and series, vector algebra and geometry, with applications to the physical sciences and engineering. Substitutes for MATH 1122 as a requirement. Enrollment requirements: a qualifying score on the mathematics placement assessment; MATH 1121, 1126, 1131, 1151, or AP credit for calculus. Rec. prep.: C- or better in MATH 1121, 1126 or 1131. Not open to students who have passed MATH 1122 or 1152.

I am also a mentor in our department's Grad Student Mentor Network and have been a mentor in our department's Directed Reading Program on projects about homological algebra, commutative algebra, and elliptic curves.

Alongside these mentorship roles, I have tutored for the department's Algebra Preliminary Exam. Below are the notes from my Winter 2025 tutoring sessions. The linear algebra content followed Linear Algebra Done Right by Axler and the remaining content followed Abstract Algebra by Dummit and Foote.

Algebra Prelim Tutoring #1.pdf

Session #1 - inner product spaces

Algebra Prelim Tutoring #2.pdf

Session #2 - more inner product spaces

Algebra Prelim Tutoring #3.pdf

Session #3 - wrapping up inner product spaces + some group theory

Algebra Prelim Tutoring #4.pdf

Session #4 - this is for sure the end of inner product spaces, I promise

Algebra Prelim Tutoring #5.pdf

Session #5 - group actions, Sylow, rings

Algebra Prelim Tutoring #6.pdf

Session #6 - rings

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