This is my first time asking for advice on here, but I have seen some great advice given here.
I am a first year student in a graduate program and I am currently enrolled in a course on advanced topics in Algebraic Topology, the second course of year long sequence. Going into the program, I had read the first ten chapters of Peter May's Concise Course in Algebraic Topology, however, in these first ten chapters, the book does not touch on any homology and though a beautiful book, it may not have been the best place to start with the subject.
I took the first semester of the sequence, which covered chapters three and four of Hatcher (cohomology and higher homotopy respectively). There wasn't actually a lecturer, the professor more or less assigned topics from the text to the students to present in 30 minute presentations. The talks were often out of order and often presented poorly, I was also very lazy and did very little on my personal time to learn the material on my own.
Now, in this second semester, the professor is very friendly, but assumes we are comfortable with homology and cohomology. I am also enrolled in three other classes and must spend significant time on teaching duties this semester. I fear, I have over stepped my limitations by enrolling in this course. At this point, it may be better to drop to course and pick up a text like James Munkres's Elements of Algebraic Topology or Hatcher, to rebuild the foundation, I have in the subject (Also completing May). Doing so, I may gain more by losing. In general, I seem to learn better on my own than from my classes. Doing this would also give me more time to study for my qualifying exams which are pretty important here.
I was wondering if I would be doing the right thing here.