MATH 4101
Introduction to Analysis
The real number system and the least upper bound property; metric spaces (completeness, compactness, and connectedness); continuous functions (in R^n; on compact spaces; on connected spaces); C(X) (pointwise and uniform convergence; Weierstrass approximation theorem); differentiation (mean value theorem; Taylor's theorem); the contraction mapping theorem; the inverse and implicit function theorems. Prerequisite: Math 310 or permission of instructor.
Instructors
Alan Chang, Ari Stern, Charles Ouyang, Ouyang, Rodsphon, Rudy Rodsphon, Stern
Reviews
10+ hrs/week
Super hard, but very rewarding. The first proof base class I took after 310. It is very achievable to get a good grade, but definitely takes time. Highly recommend. \n\nOuyang was solid. He gets too much criticism.
9/25/2025
4-6 hrs/week
Very hard class but learned a lot. Be prepared to study and spend time reading the textbook.
5/18/2024
Most disorganized and confusing class I have ever taken. Didn't seem to prepare lecture materials before class, frequently said contradictory statements concerning the syllabus, and gave incoherent proofs and explanations. Extremely disappointed with the complete lack of structure in the class. Had to self learn the entire course.
5/15/2024
Professor Stern is fantastic! His lectures are fast but easy to follow and delivered with enthusiasm. Don't be afraid to ask questions during class. He is tremendously helpful in office hours, too. So if you are stumped on a homework problem - and you will be - show up and he will clear up anything that's puzzling you. And he's a metalhead \m/ !
12/9/2022