Teaching
Courses taught by Pengfei Zhang
Course Offerings
I teach across the full math curriculum — Prealgebra, Algebra 1 & 2, Geometry, AP Precalculus, AP Calculus BC, and beyond. Each course runs for a full academic year.
I also offer one-on-one tutoring, in person or via Zoom, at $100/hour.
Art of Problem Solving (AoPS Lexington)
Fall 2026 – present
Math Level 7 (Algebra)
Textbook: Introduction to Algebra — Rusczyk
Math Level 3 (Prealgebra)
Textbook: Beast Academy 3 — Batterson, Rogers
Idea Math
Fall 2026 – present
UC1 (Algebra 2 level)
Materials prepared by Zuming Feng
Summer 2026
PC1 (Algebra 1 level)
Materials prepared by Zuming Feng
Fall 2025 – Spring 2026
PCA (Prealgebra 2 level)
Materials prepared by Zuming Feng
Everyone Academy
Fall 2025 – Spring 2026
Geometry
Textbook: Introductory Geometry and Proofs — Meijun Zhu
Summer 2025
AP Calculus BC
Textbook: Calculus: Early Transcendentals (9th ed.) — Stewart, Clegg, Watson
Fall 2024 – Spring 2025
Precalculus
Textbook: Bridge to College Math — Meijun Zhu
Geometry
Textbook: Introductory Geometry and Proofs — Meijun Zhu
Algebra
Textbook: Introductory Algebra — Meijun Zhu
Boston University
Fall 2025
MA 121 – Calculus for the Life and Social Sciences
Textbook: Calculus for Business, Economics, Life Sciences, and Social Sciences (14th ed.) — Barnett, Ziegler, Byleen, Stocker
Fall 2023
MA 225 – Multivariate Calculus
Textbook: Calculus: Early Transcendentals — Briggs, Cochran, Gillett, Schulz
MA 226 – Differential Equations
Textbook: Differential Equations — Blanchard, Devaney, Hall
University of Oklahoma
Spring 2023
4163 – Introduction to PDE
Textbook: Introduction to Partial Differential Equations — P. Olver
5763 – Stochastic Processes
Textbook: Applied Stochastic Processes — Mario Lefebvre
Reference: An Informal Introduction to Stochastic Calculus with Applications — Ovidiu Calin
Reference: An Informal Introduction to Stochastic Calculus with Applications — Ovidiu Calin
Fall 2022
2924 – Differential and Integral Calculus II (Honors)
Textbook: Calculus (8th ed.) — James Stewart
4653/5663 – Introduction to Differential Geometry I
Textbook: Differential Geometry of Curves and Surfaces (2nd ed.) — Manfredo P. do Carmo
Spring 2022
6683 – Differential Geometry II
Textbook: Introduction to Riemannian Manifolds (GTM 176) — John M. Lee
Fall 2021
4123/5123 – Fourier Transforms
Textbook: Lectures on the Fourier Transform and Its Applications — Brad Osgood
6673 – Differential Geometry I
Textbook: Introduction to Smooth Manifolds (GTM 218) — John M. Lee
Spring 2021 (partially remote teaching)
3113 – Introduction to ODE
Textbook: Differential Equations and Boundary Value Problems: Computing and Modeling — C. Edwards, D. Penney, D. Calvis
4163 – Introduction to PDE
Textbook: Introduction to Partial Differential Equations — P. Olver
Fall 2020 (partially remote teaching)
3423 – Physical Mathematics II
Textbook: Mathematical Methods for Scientists and Engineers — D. A. McQuarrie
5423 – Complex Analysis I
Textbook: Function Theory of One Complex Variable (3rd ed.) — Robert E. Greene, Steven G. Krantz
Spring 2020 (partially remote teaching)
2423 – Calculus and Analytic Geometry II
Textbook: Calculus (8th ed.) — James Stewart
4853 – Introduction to Topology
Textbook: Topology (2nd ed.) — James Munkres
4990 – Independent Study (Student: Kaleb Neal)
Reference: An Introduction to Mathematical Optimal Control Theory — Lawrence C. Evans
Fall 2019
4123/5123 – Fourier Transforms
Textbook: Fourier Analysis: An Introduction — Elias M. Stein, Rami Shakarchi
Spring 2019
2433 – Calculus and Analytic Geometry III
Textbook: Calculus (8th ed.) — James Stewart
4163 – Introduction to PDE
Textbook: Applied Partial Differential Equations with Fourier Series and Boundary Value Problems (5th ed.) — Richard Haberman
Fall 2018
3113 – Introduction to ODE (one double section)
Textbook: Differential Equations and Boundary Value Problems: Computing and Modeling — C. Edwards, D. Penney, D. Calvis
3980 – Honors Research (Student: Armand Ghosh)
Reference: Ergodic Theory with a View Towards Number Theory — M. Einsiedler, T. Ward
6493 – Topics in Analysis (joint with M. Zhu and C. Remling)
Spring 2018
2934 – Differential and Integral Calculus III (two sections)
Textbook: Calculus (8th ed.) — James Stewart
Fall 2017
2924 – Differential and Integral Calculus II (two sections)
Textbook: Calculus (8th ed.) — James Stewart
University of Mississippi
Summer 2017
263 – Calculus and Analytic Geometry III
Textbook: Calculus Early Transcendentals (2nd ed.) — Briggs, Cochran, Gillett
353 – Elementary Differential Equations
Textbook: A First Course in Differential Equations (5th ed.) — Dennis G. Zill
Spring 2017
263 – Calculus and Analytic Geometry III
Textbook: Calculus Early Transcendentals (2nd ed.) — Briggs, Cochran, Gillett
264 – Calculus and Analytic Geometry IV (two sections)
Textbook: Calculus Early Transcendentals (2nd ed.) — Briggs, Cochran, Gillett
Fall 2016
263 – Calculus and Analytic Geometry III
Textbook: Calculus Early Transcendentals (2nd ed.) — Briggs, Cochran, Gillett
264 – Calculus and Analytic Geometry IV (two sections)
Textbook: Calculus Early Transcendentals (2nd ed.) — Briggs, Cochran, Gillett
Spring 2016
262 – Calculus and Analytic Geometry II
Textbook: Calculus Early Transcendentals (2nd ed.) — Briggs, Cochran, Gillett
264 – Calculus and Analytic Geometry IV
Textbook: Calculus Early Transcendentals (2nd ed.) — Briggs, Cochran, Gillett
Fall 2015
263 – Calculus and Analytic Geometry III (two sections)
Textbook: Calculus Early Transcendentals (2nd ed.) — Briggs, Cochran, Gillett
University of Houston
Spring 2015
3336 – Discrete Mathematics
Textbook: Discrete Mathematics and its Applications (7th ed.) — Kenneth Rosen
Fall 2014
3336 – Discrete Mathematics
Textbook: Discrete Mathematics and its Applications (7th ed.) — Kenneth Rosen
University of Massachusetts Amherst
Spring 2014
331 – Ordinary Differential Equations (two sections)
Textbook: Advanced Engineering Mathematics (10th ed.) — Erwin Kreyszig
Fall 2013
131 – Calculus I (two sections)
Textbook: Calculus: Early Transcendentals (7th ed.) — James Stewart
Spring 2013
233 – Multivariate Calculus (two sections)
Textbook: Calculus: Early Transcendentals (7th ed.) — James Stewart
Fall 2012
233 – Multivariate Calculus (two sections)
Textbook: Calculus: Early Transcendentals (7th ed.) — James Stewart
Peking University
Spring 2012
Introduction to Ergodic Theory
Textbook: Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms — Rufus Bowen