Difference between revisions of "Math 641: Functions of a Real Variable"

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(Minimal learning outcomes)
(Minimal learning outcomes)
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# Measure theory
 
# Measure theory
 +
#* σ-algebras
 +
#* Measures
 +
#* Measurable spaces
 +
#* Measure spaces
 
# Integration theory
 
# Integration theory
 +
#* Abstract measurable mappings
 +
#* Measurable real- and extended-real-valued functions
 +
# Product Measures
 
# Differentiation and integration
 
# Differentiation and integration
 
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Revision as of 15:38, 13 August 2008

Catalog Information

Title

Functions of Real and Complex Variables 1.

Credit Hours

3

Prerequisite

Math 542 or instructor's consent

Description

Fundamentals of measure and integration, Borel measures, product measures, L^ spaces, introduction to functional analysis, Radon Nikodym theorem, differentiation theory, Fourier transforms.

Desired Learning Outcomes

Prerequisites

Minimal learning outcomes

  1. Measure theory
    • σ-algebras
    • Measures
    • Measurable spaces
    • Measure spaces
  2. Integration theory
    • Abstract measurable mappings
    • Measurable real- and extended-real-valued functions
  3. Product Measures
  4. Differentiation and integration

Additional topics

Courses for which this course is prerequisite