Professor Craig is an incredible teacher for a challenging class. She's clearly extremely intelligent and knowledgeable, but unlike some other professors who are similarly smart, she doesn't under-explain or assume we know more than we do. She goes through very carefully and slowly to help us gain a good intuition for the concepts.

She is very kind to students and passionate about teaching. However, her teaching is too intuitive and she merely gives example questions in her lecture. The homework and exams are just so hard with not too many curves. Anyway, she's a good person but I'll never take her class again...

I had to say her teaching ability is not that well -- methods used in proofs are redundant and inconvenient & tend to make simple questions complicated. Cannot give quick & clear explanation if you ask her question. Deduct a lot of points on HW&Exam for unnecessary things -- ambiguous about the curve before exam. Bad experience; never take again...

Reviewing topics she emphasizes in the class doesn't help since she may test on totally something else. Will deduct a lot of points for minor mistakes. Also not the best at teaching things. TA explains things more clearer than she does. Whether you pass the class really depends on how smart you are. Avoid if you are not good at self-learning.

Passionate about teaching but still average level... Her proof is tedious and sometimes unnecessary, especially on some major theorems -- she could have done it in a simpler and faster way; but sometimes she also skips steps when it shouldn't be. Not talking too much about how to apply the knowledge. Still much room for improvement in teaching...

A gem in the math department. The class is just difficult by nature, but the only reason I felt confident enough to take this class was with her. She explains things well, but the quizzes and tests are quite difficult, but she is very generous with grades. I learned a lot but had to work for it a bit. Love u Katy <3