Overview
Description
Continuity, monotonicity, differentiability; uniform convergence and continuity and differentiability; Stone-Weierstrass Theorem; multivariable functions, linear transformations, differentiation, inverse and implicit functions, Jacobians and change of variable; Lebesgue measure and integration.
Requirements
Prerequisites
MATH 311MATH 330
Original catalog text
Prerequisites
Prerequisite(s): MATH 311 and MATH 330.
Units
Lecture3
Learning Outcomes
- distinguish between different modes of convergence.
- demonstrate understanding of the Stone Weierstrass theorem.
- apply the inverse and implicit function theorems.
- demonstrate understanding of the basic theorems of Lebesgue integration.