Worst math class ever… if you want to take 115ah, find another class. This will ruin your life and your passion to math! RUN

Take this class if you are interested in math. Professor Greene is an excellent instructor for this honor-level course. He is great at explaining difficult topics, and he gives a lot of examples and intuition behind those abstract concepts. The professor teaches a lot more than what's in the standard Math 115A class. Some homework problems might be challenging, but the professor and the TA are pretty helpful in answering questions. Many problems on the midterms and final are already discussed in class. The final consisted of 11 proof-based problems, which was terribly long and took 15+ hours to complete, but this will probably be different if this class is offered on-campus after the Covid-19 period. Overall, this class is suitable for those who love math or those who want to study deeper in linear algebra.

Prof. Greene's lecturing style is much freer than any other math professor I've had, for better or worse. What that means is that some of his lectures, I enjoyed! Greene knows his stuff 100% and would frequently build on intuition in his teaching, which I often found really helpful. But there were also some lectures I struggled to follow - Greene doesn't follow a textbook and his lectures aren't very organized, so understanding lectures is, more than anything, an exercise in being able to follow wherever Greene's brain is going at that any particular moment. That being said, Greene is super nice and was always helpful during office hours. Fair warning, though: Greene's handwriting isn't the greatest.

In terms of exams, we had 2 midterms (20% each) and a final (40%), with the option to drop a midterm and have the other midterm be worth 40%. The midterms and final were 5 and 10 problems, respectively, mostly proof-based. The first midterm had one question that not many people answered, so our average was ~56%; that being said, Greene presumably took pity on us, so for both the 2nd midterm and the final, the questions were pretty much taken straight from lecture and/or Greene's sample problems. We had 7 homework assignments, usually given a week in advance; they generally weren't too difficult and the grading wasn't especially stringent, but they were still proof-based and usually took me a few hours to do.

In regards to course content, the content covered went pretty far past the regular 115A content: things like duality, Jordan form, bilinear forms, orthogonal transformations, etc. (which I believe are typically covered in 115B, at least judging by the course catalog) were all covered at some point during our class.