Professor Manning is a beast! Great explainer, super helpful (literally answered every question I had in the class, even if they weren't related to math at all), and genuinely cares about students. Also, he's an actual genius. He is insanely smart and just as kind. I would highly recommend taking this course with him (or really any course, to be honest). He's awesome. Godspeed Professor Manning.

Manning is perhaps my favorite math professor as of now. As a person, he's really nice and makes sure you understand the topics being discussed and encourages people to ask questions if they are confused. He doesn't get annoyed at all when people ask questions, even if it's something that was covered multiple times in lecture. As a professor, he is very thorough when introducing new concepts. He spends a lot of time explaining why the concepts matter and slowly introduces them instead of just throwing it at the students all at once. The homework questions are mainly from the textbook, which was good because you could look up answers if you really needed to (I HIGHLY suggest against doing so because struggling in math is how you learn). Most homework assignments oftentimes introduced some new concept which felt frustrating at first, but turned out to be helpful since it helps you learn how to work with brand new ideas. Overall, a pretty good class and would definitely take his class again.

Loved professor Manning’s 115B. I took it during the zoom era, so he actually recorded pre-lectures for each lecture. He used the 30ish minute pre-lectures to teach the material, and actual lecture was more to answer questions and give examples. And in general, the lectures were structured well, and the concepts were explained clearly. Everything was motivated nicely as well. As for hw, there’s a weekly problem set of about 8 questions, and they really helped improve my proof skills (I had only taken 115a before). Also, a lot of the hw questions were quite insightful since they introduce interesting topics not covered in class, and walk you through, using subquestions, a more complicated proof of some property or idea. The exams were also fair and interesting, though that might be because we were given 24 hrs and an entire week for the midterm and final, respectively. Overall, I highly recommend professor Manning.