Teaching experience
Courses
- Probability Theory and Mathematical Statistics (Instructor, Fall 2024) ShanghaiTech University
- Content: Characteristic functions, Central Limit Theorem, Law of Large Numbers, Hypothesis Test, Least Squares Problems, etc.
- Download my lecture note here.
- Stochastic Processes (Instructor, Spring 2022) ShanghaiTech University
- Content: conditional expectation, Markov Chains, Poisson Process, continuous-time Markov Chains, Markov Chain Monte Carlo, Brownian motion, etc.
- Download my lecture note here.
- Partial Differential Equations I (Instructor, Fall 2021) ShanghaiTech University
- Motivation: Many natural phenomena have been successfully formulated as partial differential equations: common applications include Physics, Chemistry, Biology, Economics and population dynamics.
- Content: This course will be primarily focused on the theory of linear partial differential equations such as, the wave equation, the heat equation and the Laplace equation. We will also focus on variational principle, characteristic line method, Sturm-Liouville problems, boundary value problems, maximum principles, Fourier series and Fourier transforms, Green functions, harmonic functions, Sobolev space, some PDE problems from physics.
- Purpose: The purpose of this class is to provide students with basic partial differential equations in mathematics and their qualitative properties that appear in physics and Chemistry, Biology, Economics and population dynamics. This class also helps students to understand Fourier Theory well. Moreover, students will learn many ideas for proving some inequalities in mathematics.
- Mathematical Analysis II Practice (Instructor, Spring 2021) ShanghaiTech University
- Mathematical Analysis I Practice (Instructor, Fall 2020) ShanghaiTech University
- Matrices (Instructor, Spring 2020) Penn State University
- Catalog Description: Systems of linear equations; matrix algebra; eigenvalues and eigenvectors; linear systems of differential equations.
- Multivariate Calculus (Instructor, Fall 2019) Penn State University
- Learning Objectives: Upon successful completion, the student will be familiar with vectors, vector operations, equations of curves and surfaces in space, calculus calculations involving curves, the calculation and applications of differentiation of functions of several variables.
- Matrices (Instructor, Fall 2018 and Spring 2019) Penn State University
- Mathematical Analysis (TA, Spring 2013 and Fall 2012) Shanghai Jiao Tong University
- Functional Analysis (TA, Spring 2012) Shanghai Jiao Tong University
- Differential Manifolds (TA, Fall 2011) Shanghai Jiao Tong University
- Asymptotic Analysis (TA, Spring 2011) Shanghai Jiao Tong University
- Mathematical and Physics Methods (TA, Fall 2010) Shanghai Jiao Tong University
