This class is definitely a tough class. Putterman is a pretty engaging lecture and often fun; he really cares about his students understanding of the material. Despite this, there are times where he does cover topics pretty fast in lecture and it often goes above other students' head, mine included. This class had pretty tough material to cover, ranging from the wave equation in multiple dimension + separation of variables, Fourier series and transforms, bessel series, PDEs, and complex analysis. The hws and exams are pretty difficult as well, but Putterman generously curves the class. One thing to note though is that his lectures are not recorded and notes are usually not posted (with the exceptions of pictures of the whiteboard). I do recommend that you attend lecture as I found that more helpful than just looking at pictures of the whiteboard.

As a person, I really want to like Putterman. But unfortunately I cannot because this class destroyed my happiness. It was obnoxiously hard and I was miserable every moment I spent thinking about it. Maybe I learned enough to help in the long run but honestly I barely understood anything. The material we learned was drastically different from what I've heard others learned with a different professor. If you're someone that actually understood what was happening then yeah this class was probably really helpful. Unfortunately that's not me. The lectures were often impossible to follow and everything was way too fast. I ended up having to teach myself most of the course from the textbook (which was not very good) and the TA's office hours (which were amazing).