I really liked 32A with professor Manning. The content of the class is very interesting and he explains it well. In some lectures he spends a lot of time on proofs that you don't have to learn for the exams. These proofs are interesting but sometimes a little too complicated to cover in less than 50 minutes (ex. curvature, Kepler's laws), thus making the lecture not very effective. The explanations on partial derivatives, directional derivatives, gradient, optimisation (which are the most important parts of the class) however were very well done. The tests are fair, the problems are similar to hw / examples in class. He also has a pretty funny and involved way of conducting lecture. Handwriting is not the best. Homework is good because it's not a lot, it's not too hard and it's pretty easy to get 100% (average was something pretty close to 100%). TA Steve is really good and pretty funny. Before each test, he posts on CCLE a super useful summary of everything you need to know which is really good. Overall, a great professor and a great class.

This guy went to Caltech for undergrad and tested out 1 entire year worth of classes at CALTECH. Take his class to know how smart a person can be.

After having an amazing professor for Math 31B, I was shocked at how poorly Manning conducts his lectures and how disorganized his teaching is. He spends about half of the class time deriving the definitions of topics in single variable calculus and rushes through the multivariable material near the end when he realizes that he is running out of time. I often leave class more confused than before I entered. Honestly, the textbook is your best friend in this class as Manning either provides no examples in class or completely useless examples that won't help facilitate your learning. His lectures are more for those who enjoy listening to professors ramble about various topics in math than learning anything. His exams are fair, although he puts too many questions on them that it makes it difficult to finish the exams on time. As for the final, it was a 24 hour take home final and was for the most part quite straightforward, except for the grading on one of the questions was overly harsh. With the amount of self-studying I had to do for this class and the quality of Manning's teaching, I definitely would NOT recommend him to anyone else.

I love Manning! He's super patient and always willing to answer your questions during lecture, no matter how dumb they might be (I definitely asked a few dumb ones). If you ask him questions during office hours, he's just as patient and in particular is very good at giving hints for homework questions!

He includes lots of hints for his homework questions on the homework itself, and often later homeworks will use results proved in earlier homeworks, so hold on to hold homeworks and honestly, if you get stuck, going back through earlier homeworks is not a bad idea

His lectures can be a bit confusing at times (he usually but doesn't always state exactly what his assumptions are when he's proving lemmas or theorems), but honestly the textbook for this class is really good, so you can always use that as a reference too.

Would recommend Manning!!!!

Professor Manning is an excellent professor. He is very clear about his expectations and the midterms and finals are very fair (usually one or maybe two tricky questions). Homework is not too challenging and if you do the homework properly (in addition to going through the textbook), you're pretty much set for the midterms and final.
His lectures are clear, but the only complaint I have is that in a large classroom, he's hard to hear at the back. He should probably use a microphone.

Manning talks about everything you need for exams in class. The exams are fairly graded and dobable. His final is a little harder than expected. I think it should be fine as long as one understand what's going on in class.

Professor Manning is a decent lecturer. His midterm difficulty was tough but do-able and related to the hw problems. However, I found his final incredibly difficult, filled with proofs that were near impossible to solve. After the final, everyone I knew couldn't solve one of the proof on the final. I found the final unfair, and did not represent how well a student did in the class.
Take this class, and if you listen and try hard on your hw, you will learn the material. But, be wary, you may very well end up understanding the material, but get a grade that is way-below your expectations.
Grade in this class does not reflect your understanding of the material.

If you are a math major take Jeff's class at all costs (unless there's some tenured faculty members or Tao teaching lol sorry Jeff). He will guide you through in your academic career. Math majors are usually academically mature but for noobs like me Jeff will be a greater guider.

I did not necessary like Manning as a professor. I felt as if his lectures were very unclear and did not give many examples. H e often ran out of time, so rushed the important material that was saved at the end. His midterms were fair for the material, but my TA was amazing and was basically why I got an A in this class. I found myself reading the textbook after each lecture just so I would understand the material and see examples. The homework was quite tough as he did not discuss most of it during class. He also spent a lot of time on things that were not helpful for the midterms and final, such as Kepler's law. There was about 10-15 homework questions a week. Some of the questions on the final were very hard, but that might have been because it was take-home because of the virus. I would much rather have a different professor for this course, but Manning is manageable.

Manning's lectures were more often than not full of proofs, only giving the important equations and points during the last 5 minutes of the lecture. If you decide to take his class, be wary that you will most likely have to catch up on the material on your own by reading the book. To be fair, his midterm exams were not too difficult, although they were very difficult to finish on time as there were too many questions to feasibly finish in 50 minutes. His take home final took me forever to finish (about 6+ hours), but was not particularly hard (except for the very last question). Homework was very fair and easy, did not take up a huge amount of time to do. His overall grading was not too harsh, so I will say that he is not the worst option, but he is definitely not the best.