I repeated this course with Professor Liu after going through a really bad experience with a new professor last quarter. Professor Liu made the learning environment much more student-friendly compared to my previous professor. He tried not to intimidate his students with overly complex theorems and proof; instead he eased into the material, giving us room to breathe and hopefully understand the material. Regrettably, I didn't work as hard as I should have for this class, which affected my midterm grades badly (Having just one midterm for an upper division math course really sucks).

Overall, Professor Liu is a nice guy, who seems to genuinely care for his students. I may be biased by saying this, but I think he is one of the best Math professors in UCLA. I have taken 6 Math classes taught by 6 different professors in UCLA, and I hated most of them. This is the first Math professor I haven't complained about since I entered UCLA.