Real Analysis
An introduction to abstract measure and Lebesgue integration theory.
MATH
541
 Hours3.0 Credit, 3.0 Lecture, 0.0 Lab
 PrerequisitesMath 341; Math 314 or Math 342; or equivalents.
 TaughtFall
Course Outcomes: 


Learning Outcomes

Students should understand the topics outlined in the minimal learning outcomes on the Math 541 Wiki page. As evidence of that understanding, students should be able to demonstrate mastery of all relevant vocabulary, familiarity with common examples and counterexamples, knowledge of the content of the major theorems, understanding of the ideas in their proofs, and ability to make direct application of those results to related problems.

Overview

Lebesgue measure on Rn

Lebesgue integration on Rn

Fubini's Theorem for Rn

L1, L2, and L∞

Fourier transform on Rn