Axioms of the real numbers, topology of metric spaces, numerical sequences, infinite series.
4
UnitsOptional
Grading1
PasstimeNone
Level LimitLetters and science
CollegeFantastic professor. He REALLY knows his stuff and he focuses on trying to help us develop a very intuitive understanding of the material overall. Very challenging homework (can submit it in groups), but his exams are consequently a breath of fresh air (for 118, at least). Super helpful in office hours. He really wants everyone to get the material.
Ponce is very unique in the UCSB math department. While most professors seem approachable in class, and intimidating in office hours, Ponce is the opposite. He goes very fast, and is a little hand wavy sometimes, but he cares more than any other teacher that you're learning. Go to office hours, ask him to explain things in lecture, you'll do fine.
Midterms were easy, final was also easy but had no partial credit and very few problems. This causes so much unnecessary stress and puts too much emphasis on answers instead of understanding. Lectures were actually very useful, but only in the last month of class. He is not approachable and definitely does not care much about lower div classes.
Lectures are useless, he uses another's professor's slides, which he learns WHILE teaching. It is better to learn the material through self-studying the slides he posts. CLAS Canvas course is VERY useful, so sign up for that. Two easy midterms online, and a 50% final. Practice final was VERY hard, and not at all representative of the actual final.