Professor Roper is an excellent professor who truly values whether or not his students learn in his class. Being an undergrad taking his class, I was a bit worried about the pace and the rigor of the class. However, I soon realized that Professor Roper is extremely helpful during lecture as well as his office hours.

I found his lectures to be extremely interesting and engaging, and I can safely say through this that he is one of the best maths professors in our department.

I would recommend this class 10/10. Thank you, Professor Roper.

I don't know why all these reviews are so harsh. Maybe it was because I took it over the summer (though I don't know how one's teaching style would be able to change in just a few weeks), but I could say Roper was one of my favorite math professors.
TLDR: Engaging lectures, excited to teach, explains thoroughly, answers questions well, exams are fair. Just pay attention in class, ask questions, do all of the problems and you'll be fine.
He had a reverse lecture style where you would watch lecture videos before class and review with worksheet problems during lecture. The lecture videos were sometimes very long, ranging from ~1 hour to ~2 hours. I think you could get away with not watching the videos, but I found coming prepared and using the lecture period as a review was really helpful for me. He also just covers the material more in depth in the videos.
During lecture, he goes at a very understandable pace and explains everything really well. He answers all student questions time to time and is always happy to clarify anything. There are also a few worksheet problems solved during lecture, and I they were helpful though they were just easy, more conceptual based questions. Don't expect the exam to have questions like those on the worksheet.
I think homework was more on the heavy side, as there were a lot of questions to them but you're given a week to complete them so I never had any problem with time. Just work your way through them over the course of the week. The homework problems resemble more closely what you'll see on the exam.
The exam was fair, and as long as you understand the material you'll be fine. He said the last two questions (on both midterm and final) were intended to be "trick" questions and he doesn't expect most students to get them right. I thought they were doable though, but they just weren't questions you've seen before. They aren't impossible to solve, just connect all that you've learned to solve it. He also posts practice midterm + final exams that are similar to the actual exam. He reviews a few questions in lecture the day before the exam as well.
Unfortunately, it seems like there were issues with cheating on the exam (summer quarter, so all online) so we never got our midterm and final grades back on Gradescope. I think it was frustrating at first trying to take the final without even knowing our grade, since we didn't have our midterm grade, but in hindsight I understand the struggles. (He didn't tell us why grades hadn't been posted until the course ended and we took the final exam). He did post the midterm solutions after though so you had that to practice.
Overall, I really liked Roper he was a good lecturer and was always willing to answer any student questions. I don't know why the reviews are so bad. I was really scared going into this class from these reviews but truly it was not bad at all. Just take him he's actually very sweet.

I took this class as an undergraduate with background in MATH 134, 135. I really enjoyed this course overall. The things we covered is very similar to MATH 134 and 135 with a bit more rigour and a few additional topics such as Green's functions. Professor Roper is a complete delight and I have been very fortunate to have a class with him. I was very scared of the difficulty spike (and there was definitely one) but he is one of the nicest, most patient professors I have ever had. Also, his lectures are very digestible and it was a real joy showing up to class. His exams are very low stress and really focuses on the learning aspect rather than the grade. He curves the course a lot so I wouldn't worry about the grade. I have never learned more from a math course until this one. Our TA Raymond moves a bit fast through things but he is a nice grader and always happy to help. Overall, I would recommend highly recommend this course.

Do not ignore the other reviews on this page for S25. The class felt like a mess and much of it has to do, in my opinion, with some questionable decisions by the professor.

- Replacing discussion sections completely with limited 1-on-3 "tutoring sections" was in no way helpful to students' learning. The discussion format worked for every other lower division math course perfectly well.
- The test questions are very similar to those on the worksheets given in class, which sounds good until you learn that there will be no solutions posted, and obviously with the volume of questions per class there isn't time to solve all of them during them, so what can students do to prepare? You're on your own!
- Tests are graded (or, more "factored") on an arbitrary scale. No, seriously, I don't know how my grades are calculated even though I know my score on every single homework, quiz, and test, along with the weights.

Honestly if you do end up in this class, your biggest challenge will probably be his tests. They are hard, but not insurmountable. I genuinely hope that some of these mistakes will be fixed in the future to give the students a better learning experience.