This is one of the worst upper div math classes I have ever taken. I have no idea why it existed. The class goes into meaninglessly tedious details that will not be used in any other upper-division math classes--including graduate courses. The useful contents can literally be finished in 2 weeks.

The grading is HARSH. Those who get 95%+ get an A, and he decides who gets an A+, not based on grades. He posts no lecture notes, no extra materials, no past/practice questions, no grade distribution(not even mean and median), no nothing. They take points off your exams and hw questions just because your notations do not match his, even if your entire calculation is correct. Plus, he would never tell us the grade cutoffs until one of my classmates asked him.

He does not know how to be a teacher. his lectures are kinda shit. His first midterm was extremely easy, and the second one was then way too much...

I am done talking more about this professor. Just run.

Baeumler knows what he's talking about and presents very clearly. He has lots of office hours where you can get additional help. He's not the most awe-inspiring and tends to go off the textbook almost word for word, but you will definitely learn the textbook content well.

This course does not demand very much real analysis. The homework is a mix of proofs and computation. The exams are almost entirely computational and do not require real analysis.