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.

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.

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!

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.

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.

Paul is extremely talented when it comes to the field of mathematics. However, this does translate over to his teaching ability. Paul is unable to assess where the class is on a topic, leading to chronic problems of not being thorough enough on basic topics, and spending too much time on topics that should be left to higher-level classes.

Paul makes his class difficult so his students can succeed later. As a student, I was incredibly frustrated by how difficult the coursework was at first, but started to appreciate it much later when my coursework became much easier down the line in other classes. Paul also grades generously and makes sure to make time for all his students.

Paul is a genius, and it shows. However, I think, sometimes, he forgets that not everyone is quite at his level, as he goes through lectures very fast. Homework and exams are incredibly challenging and intense, but graded generously. You'll have a hard time failing, but if you are completely new to proofs, my advice would be to take someone else.

Lectures were sometimes rushed which made homework difficult. The exams in the class were extremely hard, but there was a generous curve for the class. He wants to see the students succeed, so there were also multiple opportunities for extra credit. I wish topics would have been explained more thoroughly as I often felt confused.

One of the best Professors I've ever had. That is not to say the course is easy, the course was also one of the hardest courses I've ever taken. For a math major, he is a dream of a professor to have because he motivates ideas and allows collaboration. Everything is graded very generously, fast responses, and always looking to help students.

Paul's class was really difficult and went beyond what most 341 classes cover but he was a really great professor! Super kind and very clear explanations. He was also available for office hours, responds to emails quickly, etc. The homework and tests are super hard but there's a nice curve and opportunities for extra credit.