Already graduated UW-Madison in Math and Data Science. This is the hardest thing I have ever done in my entire life. Nothing compares in difficulty. But I now reap the rewards from it. The rigor has helped me later on in life I feel. Glad I did it as it made me stronger in Mathematics. Get ready if you are taking this course. You are in for a ride.Rate My Professors ↗
Historical instructor
PAUL APISA
What students say
Original student reviews · all captured dates
Quality 5/5Difficulty 5/5
Quality 5/5Difficulty 5/5
If you want to learn a lot, take this class. I think we covered half of Linear Algebra 2 in 341. He's really accessible during office hours and clearly dedicated to his teaching.Rate My Professors ↗
Quality 4/5Difficulty 5/5
The difficulty of his courses are extreme but he's a pretty good lecturer, has good lecture notes and gives a nice curve. His homework and exams are some of the most difficult out there but you can tell he actually puts time and effort into teaching, knows the material, comes prepared, and covers more topics than a normal class.Rate My Professors ↗
Quality 3/5Difficulty 5/5
This class was so unbelievably difficult, averages for exams were 20-30%. He's a nice guy and cares a lot about the students but moves too quickly into harder concepts before we get to understand the basics. Nice curve but I'm not sure if I learned much, it was a bit of a fever dream. Homework was long, maybe 10-15 questions per week and hard!Rate My Professors ↗
Quality 5/5Difficulty 4/5
Lectures are smooth and uniquely inspirational. Paul is passionate about the course content and genuinely cares about whether his students learn the math. He covers many more interesting topics in depth than usual. This of course makes the homework and exams challenging but also the class worth taking. He is generous on grading and extra credits.Rate My Professors ↗
Quality 5/5Difficulty 5/5
You will get a very solid foundation and comprehensive view of Algebra (not only about Algebra) from his lecture. His homework, lecture, and worksheet are very inspirational and insightful (also a little difficult). If you actively seek help and are passionate about pure mathematics, then Paul is the best teacher I've ever seen on campus.Rate My Professors ↗
Personal experiences, not a representative survey. Profile matching and captured coverage are shown in the source details.
Classes with PAUL APISA
No teaching recorded in Fall 2026.
View last recorded teaching term →No courses match this selection. Try the full catalog or another term.
Recorded teaching history
Distinct courses recorded per term
Explore courses taught by this instructor →Browse recorded courses
| Term | Course | Title |
|---|---|---|
| Spring 2026 | MATH 421 | The Theory of Single Variable Calculus |
| Spring 2026 | MATH 990 | Reading and Research |
| Fall 2025 | MATH 758 | Introduction to Ergodic Theory and Dynamics |
| Fall 2025 | MATH 990 | Reading and Research |
| Spring 2025 | MATH 851 | Topics in Geometric Topology |
| Spring 2025 | MATH 990 | Reading and Research |
| Fall 2024 | MATH 390 | Undergraduate Research with Madison Experimental Mathematics Lab |
| Fall 2024 | MATH 541 | Modern Algebra 1 |
| Spring 2024 | MATH 758 | Introduction to Ergodic Theory and Dynamics |
| Fall 2023 | MATH 542 | Modern Algebra 2 |
| Spring 2023 | MATH 341 | Linear Algebra |
| Fall 2022 | MATH 341 | Linear Algebra |
Teaching history may be incomplete. Course pages contain course-specific feedback and citations.
Instructor identity & provenance
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