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Mathematics Courses

Introduction to Analysis

Mathematics And Statistics 4111 - Fall 2021

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.
Course Attributes: FA NSMAR NSMAS NSM

Section 01

Introduction to Analysis
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