Introduction to Analysis

MATHEMATICS 5101


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 or instructor.
Course Attributes: FA NSM; AR NSM; AS NSM

Section 01

Introduction to Analysis
INSTRUCTOR: Ouyang
View course listing - FL2023
View course listing - SP2024
View course listing - FL2024
View course listing - SP2025

Section 02

Introduction to Analysis
INSTRUCTOR: Chang
View course listing - FL2023
View course listing - SP2024
View course listing - FL2024
View course listing - SP2025