Professor Manion was extremely knowledgeable and invested in the well being of his students. Other than the occasional lecture that flies over the head of those in the audience, I cannot find any faults in Manion or his teaching style. By attending only a few lectures or office hours, it will be easy to see that Manion is very bright and loves what he does. Though he is smart, he isn't condescending toward even the slowest students--he always made sure to answer every question posed to him. His tests are difficult. You need to know your materials to a T in order to survive. The first eight weeks focus on defining abstract concepts in order to use them to prove the Weirstrass Approximation Theorem in weeks 9-10. Overall, Manion made Math131B extremely enjoyable, but he did not make it easy. If you want to learn Analysis and don't mind a challenge, Professor Manion is your guy.

Good professor in my opinion. Would have him again for another class. He was very helpful, nice, and approachable in office hours. The class was mostly very difficult because real analysis is a very rigorous topic. As far as individual professors for this course go, I have heard of there existing (lol, a quantifier. math joke) worse professors for this course such that they give unreasonable homeworks. His homeworks were very reasonable yet challenging given the nature of the course. His two midterms (I'm writing this before the final) were doable but not necessarily easy. The questions just weren't what I predicted based on the the homeworks and course material but the questions would absolutely fall under the category of what you would consider fair game (so just be sure to study comprehensively as opposed to focusing on certain topics). The average for my class on the first midterm was actually very high, but he explained this was atypical as it was not as high last time he taught the course (a.k.a., my particular class was probably just smarter). I would not necessarily suggest taking him for lower division courses however; he is a very intelligent professor and his math skills manifest in his lectures to the extent that lower division students likely cannot keep up with him. Anyway, I really liked the course. Not a bad idea to take Manion.