Fall 2022 - The 170E taught by the vice undergrad dept chair is definitely a unique experience to me. He skipped some material such as conditional pdf and expectations and said this will not cause any problem when we take 170S. He is a nice instructor who gave fair midterms and hard final(26-page long), and we indeed learn stuff from him. Unfortunately he does not teach the sequel. Not only I but also many of my friends began to miss him after finding those who actually give lectures for the sequel of 170E did a way less fantastic job than him.
Fall 2021 - 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.
Fall 2020 - For 266A, professor Roper is a great teacher and eager to help students, and he is generally clear on courses materials. He can be occasional late in class, but I find that understandable since he can be occupied by his daughter at times. The only con is that he seems never prepare for classes, and can sometimes confuse himself in some proofs (also higher possibility of typos in notes). The tests are fair for a graduate course, and I believe he curved a lot to give out more A’s.
Spring 2021 - 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.