Study Resources & Advice
Published:
Content updated occasionally—new resources added as available
This page gathers study tips, learning strategies, and course-related resources I’ve compiled over years of teaching. Whether you’re adjusting to college math, seeking course-specific guidance, etc., you’ll find curated content here to complement your learning. Think of it as a casual supplement to classroom materials—take what helps, and feel free to check back for new additions now and then.
In the long run, we shape our lives, and we shape ourselves. The choices we make are ultimately our own responsibility.
– Eleanor Roosevelt
General Content
- 📚 Advice to New Students from a Mathematician
- 📚 Study Do’s: Habits That Actually Work for College Success
- 📚 Ten Rules of Good and Bad Studying
Course-Related Content
- Strong Math Foundations are Important for AI
- 📝 聊聊大学数学做题那档子事
- 你的数学体系扛得住题目噪声吗？闲聊闹出考场集体小乌龙的一道微积分题
Calculus
- 📚 微积分教材闲聊（1）：“国民教材” 与小众神作
- 📚 微积分教材闲聊（2）：Stewart、Thomas 与 Spivak 的风格较量
- 📚 微积分教材闲聊（3）：补充读物
- 📚 微积分教材闲聊（4）：我的建议
- 📚 微积分教材闲聊（5）：国外的真的比国内简单吗？
- 🤔 做个小实验：让 AI 解微积分考卷，得分能比学生高不？
Linear Algebra
Probability & Statistics
- [📊 统计思维：人人都需要的思维工具 – coming soon]
Miscellaneous
Some Useful Tools & Resources
Math & Computational Tools
- GeoGebra – Dynamic mathematics software for visual learning of geometry, algebra, calculus, etc. (with online version)
- Wolfram Alpha – Computational knowledge engine for solving problems in mathematics, science, engineering, and more
Academic & Writing Tools
- Zotero – Free reference management tool for collecting, organizing, and generating citations
- Overleaf – Online LaTeX editor ideal for academic writing and collaborative research papers
Finally, I’d like to borrow two lines from Goethe to share with all the aspiring learners striving diligently on their academic journey:
Knowing is not enough; we must apply. Willing is not enough; we must do.