Shuyi Weng
Mathematics Department, Northwestern University



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If you are a current student of mine, please find the links to your Canvas or Google Classroom pages on the Home page.

Lecture Notes
To supplement the textbooks, I have typed lecture notes for individual topics as well as for entire courses. Here is a selection of them.
Abstract algebra
Group theory (quarter-long course)
Rings and modules (quarter-long course)
Single-variable integral calculus
Quarter-long course notes
Linear algebra
Linear systems
Matrix equations
Linear transformations
Matrix operations
Determinants
Eigenvalues and eigenvectors
Orthogonality and projection
Inner products
Finite mathematics
Naive set theory
Conditional probability
Teaching Experience
I have experience teaching a wide variety of mathematics courses. The following is a comprehensive list of my teaching experience.
Instructor (Evanston Township High School)
Advanced topics in mathematics
Fall 2022: Combinatorics and graph theory
Spring 2023: TBD
Instructor (Northwestern University)
Math 100: Quantitative reasoning
Spring 2021
Math 105-6: First-year seminar
Winter 2023
Math 202: Finite mathematics
Winter 2021, Winter 2021 (SPS)
Math 211: Short course in calculus
Spring 2023
Math 220-1: Single-variable differential calculus
Fall 2022
Math 224: Integral calculus of one-variable functions
Summer 2019, Summer 2018
Math 230: Differential calculus of multivariable functions
Spring 2019
Math 240: Linear algebra
Spring 2021 (SPS), Winter 2019 (SPS)
Math 290-1,2,3: MENU Linear algebra and multivariable calculus
Fall 2021 - Winter 2022, Fall 2020 - Spring 2021
Math 300: Foundations of higher mathematics
Spring 2023
Math 330-1: Abstract algebra
Fall 2020
Math 330-2: Abstract algebra
Winter 2022
Math 354: Chaotic dynamical systems
Fall 2021
Teaching Assistant
Math 100: Quantitative Reasoning
Summer 2019 (Bridge)
Math 224: Integral calculus of one-variable functions
Fall 2016
Math 240: Linear algebra
Winter 2017
Math 290-2: MENU Linear algebra and multivariable calculus
Winter 2019, Winter 2017
Math 300: Foundations of higher mathematics
Spring 2018
Math 320-3: Real analysis
Spring 2017
Math 330-1: Abstract algebra
Fall 2018, Fall 2017
Math 331-2: MENU Abstract algebra
Winter 2018
Math 334: Linear algebra second course
Winter 2018
Math 336-2: Introduction to number theory
Spring 2018
Math 354: Chaotic dynamical systems
Fall 2018, Fall 2017