Teaching

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Teaching Preferences and References books

As a researcher in math, I mainly study PDEs arising from fluid dynamics. However, it is harmonic analysis (and its applications in PDEs) that excited my interest in mathematics when I was a student.
Among those fundamental and regularly-offered courses in Analysis and PDEs, my teaching preference is:
PDE > Harmonic Analysis > Real Analysis > ODE > Mathematical Analysis > Functional Analysis.

This webpage records my (personal) suggestions on reference books, syllabi (if I teach any of these courses) and sequences of course study for these fundamental courses.
All contents are based on the cultivating plan for undergraduate students at University of Science and Technology of China (USTC).

Teaching at USTC

Teaching at NUS

2025 Spring: MA5213-Advanced Partial Differential Equations (Graduate).
2024 Spring: MA4221-Partial Differential Equations (Undergraduate).
2023 Spring: MA4221-Partial Differential Equations (Undergraduate).

TA at Johns Hopkins

I received the "Professor Joel Dean Excellence in Teaching" award for TAs in 2021.

2022 Spring: Honour Analysis 2, Differential Equations and Applications.
2021 Fall: Real Variables, Introduction to Proofs.
2020 Fall: Honour Analysis 1, Differential Equations and Applications.
2020 Spring: Honour Analysis 2, Partial Differential Equations.
2019 Fall：Honour Analysis 1, Real Variables.
2019 Spring: Honour Analysis 2, Calculus 2 (Eng).
2018 Fall: Calculus 2 (Eng).
2018 Spring: Partial Differential Equations.
2017 Fall: Method in Complex Analysis, Calculus 1 (Eng).

TA at USTC

I received the "Outstanding TA in USTC" award in 2016(rank 6/703, score 4.95/5.00) and 2017(rank 7/562, score 4.98/5.00).

2017 Spring: Differential Equations II, Instructor: Professor Xing Liang.
2016 Fall: Advanced Real Analysis, Instructor: Professor Hao Yin.
2016 Spring: Real Analysis (H), Instructor: Professor Hao Yin.