Introduction to methods of proof in analysis. topics include limits, sequences and series, continuity, compactness, as well as other topics. This course is intended to follow Mathematics 8 and to introduce students to the level of sophistication of upper-division mathematics.
4
UnitsOptional
Grading1
PasstimeNone
Level LimitLetters and science
CollegeAmazing professor. He lectures slowly and clearly and is very interactive. He always asks students for the next step of proof and guides students to complete the proof. Homework is a bit heavy and not easy, but it is manageable if you attend lectures. You can tell he has a lot of mathematical wisdom by the way he teaches. You will never walk alone.
Prof. Long is really good at teaching math, very knowledgable, especially felt this after taking a relatively small class MATH 117. But his homeworks are hard, and his final exam is beyond expectations. He is a hard grader. Doesn't use Gauchospace tracking your grade, and the final grade would be confusing. Can't find him after the end of the class
(Fall 2023) He explained group theory decently well, although he went really fast; we finished the core material by Week 6, and spent the remaining time doing representation theory (grad level math to unprepared undergrads). Really funny guy though, and his tests were brute memorization so easy to game (not fun studying for though).
Best professor *ever*. Makes you think about how you should be thinking about the material and how you should be thinking about mathematics. Excellent in office hours.
Worst Professor I've ever had period. Doesn't care about students. Was able to find YouTube videos that explained concepts in a quarter of the time with infinitely more clarity than he had in lecture. Tests are extremely difficult. Grading scheme leaves no room for partial credit, you either get full credit or no credit.
Astounding in his immediate responses to say he can do nothing to help a student in need, or completely ignore the emails when it is not reasonable for him to say that. Does not care at all if his students learn anything, just shows up, lectures, and leaves. No communication, posts nothing online, he simply does not care. Actual lectures are fine.