Teaching & mentoring
I teach applied mathematics, numerical methods, probability, statistics, and computing. My teaching connects mathematical intuition with implementation, and emphasizes clear reasoning and reproducible computational work.
Instructor · Stony Brook University
I designed and delivered lectures, created assessments, graded coursework, and supported students in the Department of Applied Mathematics & Statistics.
| Course | Title | Term |
|---|---|---|
| AMS 361 | Applied Calculus IV: Differential Equations | Winter 2026 |
| AMS 326 | Numerical Analysis | Summer 2025 |
| AMS 394 | Statistical Laboratory | Summer 2025 Summer 2024 Winter 2024 Winter 2023 |
Teaching assistant · Stony Brook University
Responsibilities included recitations, discussions, office hours, and grading.
| Course | Title | Term |
|---|---|---|
| AMS 528 | Numerical Methods | Spring 2025 |
| AMS 502 | Differential Equations and Boundary Value Problems | Spring 2025 |
| AMS 510 | Analytical Methods for Applied Mathematics | Fall 2024 |
| AMS 595 | Foundations of Computing | Fall 2024 |
| AMS 326 | Numerical Analysis | Spring 2024 |
| AMS 310 | Probability and Statistics | Spring 2023 Fall 2022 |
Recitations & grading · NYU Courant
Recitation leader
Mathematics for Economics II — Spring 2021 and Spring 2022.
Probability, Statistics & Decision Making — Fall 2021 and Spring 2022.Recitations, office hours, and grading.
2021–2022Grader
Analysis — Fall 2020.
Special Topics — Fall 2021.2020–2021
Research mentoring
AI3 REU · Stony Brook University
Summer 2026
I mentored AI4Science research projects from initial scoping through presentation, supporting literature review, experiment design, technical implementation, and reproducible workflows.
- Formulating focused research questions and planning experiments.
- Organizing code, recording configurations, and tracking results.
- Interpreting outcomes and preparing research presentations.
For teaching or mentoring inquiries: ruichen.xu@stonybrook.edu.