Killip definitely knows what he's teaching. He only used his notes as reference, or in case he forgot some details, which was rare. However, he DOES have the problem of pacing. Some harder materials at the end were not explained as he had to finish the class on time. For more often times, he went over theorems and concepts without examples, making me feel like a note-taker. However, when he did go over examples, everything became clear. One thing I’ve noticed, as different from all the other math classes I have taken, was that students rarely askd questions. So Should I assume they all understand what was going on in the class? :)

His office hours, as far as I've heard, are really helpful. Weekly homework is assigned with one or two questions created by himself. Try to do those questions and learn the concepts behind. They are really good practices. 

His exams are fair. Definitely go to the test bank and check out the past tests. Though he may not test the exact same questions again, the concepts will appear on later midterm and final. (Hint hint hint: change of coordinates, least square approximation) If you lose points earlier and fail to grasp the idea in the end, you will suffer on final. 
 
For 33A itself, you should learn that this class isn't designed to challenge you - that's the job of 115A. I would suggest everyone to learn, seriously, LEARN the ideas and connections of all the concepts. Don't let them pile up in till the end. Kill them one by one, and you will do fine. 

My TA, Yehonatan Sella, really helped me a lot. His discussions summarized most of the materials for a week with examples. I learned most of the calculations from him. He also held extra hours before exams. ( He's cute by the way ^_^)

I would recommend his class. But be warned that people usually get close scores. 

I thought Killip was decent. Sometimes I really understood and followed along with what he was saying every step of the way, but other times he totally lost me a few minutes into lecture.

Someone mentioned it, and my main criticism is that he has a bit of a pacing problem: he pretty much covers the really easy stuff at the exact same speed as some of the harder stuff. And that doesn't mean that the harder stuff isn't important, either.

That said, in general I thought the class was very doable, and apparently he gave really good explanations in office hours, which admittedly is not something I ever took advantage of. Also, his homeworks did a good job of reinforcing concepts he tried to get across in class, which was nice.

Overall, I'd probably recommend him. Just know that to get a good grasp on the material, you'll have to study a little bit outside of lecture, which I don't think is unreasonable.

Okay everyone is saying Killip is a pretty good teacher:

Definitely not in lecture. Go to office hours if you want anything explained because then you'll get a really good one. He likes to say really long rung on sentences in lecture and they don't make much sense. Sometimes he'll spend half an hour explaining something really simple and then brush over a hard topic in a few minutes.

I'm going to get a pretty good grade in this class but I rarely could follow his lectures - my TA is the one dragging me through this class.

Still the class is doable. Get the lecture notes down, read the book and make sure you understand how concepts relate and all the rules that apply.

I just don't think Killip is a very good lecturer.

Grading scheme: Homework 20%; Each midterm 15%; Final 50%.

Dr. Killip is a really nice professor. He lectures well, but the materials get pretty hard toward the ends. I am pretty sure he lost a lot of us by 10th week. However, sometimes he does not explain thoroughly and I have to learn from the book when doing the homework.
He has that typical really-smart person style: sometimes, he has to pause, think a little bit about his reasoning, try to formulate a sentence for his explanations.
In addition, his homework sometimes include the problems of his own, and they are not that easy to finish.

His tests are fair, a little hard, and contains T/F and Fill-in-the-blank questions... Who does that for a math class?

Overall, good class, good professor. Just be prepared for a challenge ride.
I also suggest that you take 33B along with 33A. The knowledge that you will learn in both class can be applied to each other, and that is really cool

I loved going to lecture. He is pleasant man, very sarcastic and humorous. He also lectures very well. He writes literally everything he says on the board and clearly writes examples.

The subject itself was new and difficult to get the hang of at first. I frequently became lost in lecture because I didn't understand a certain detail and it snowballed into becoming lost for the whole week.

His exams are fair and well rounded based on the homework examples and book problems. He is also very willing to help out when going to office hours.

I would highly recommend this professor. He was one of the few lectures that I made a strong effort to end because it was actually enjoyable. Just make sure to stop the guy when he goes too fast because he has a tendency to do that a lot. Just read the book, attend lecture, and do the homework and you're set for a good grade. I missed out the last 3 weeks of lecture but still managed to get a B+

I always went to class, and I almost always left at the end of the lecture feeling that I hadn't learned anything. I took good notes and studied from the book, but I found it very difficult to learn from Professor Killip in lecture.

The first midterm was pretty easy, while the second midterm and the final were quite challenging. I ended up with a C+ in the class.