Measure Theory & Functional Analysis

Math 485

Measure Theory & Functional Analysis    DaveÕs Syllabus                       Spring 2017

                                                                       
In this class we will cover graduate-level material on Measure Theory and Functional Analysis.

Random Facts:

Professor:

Dave Kung

Office:

175 Schaefer Hall, x4433

(or 240-895-4433)

 

dtkung@smcm.edu

Random Fact:

IÕve never taken a Measure Theory course but IÕve taught it twice.

TA:

Ha! You think you get a TA for this course?

Office Hours:

Mon

2:00-2:00

and by appointment.

Wed

1:00-2:00

Fri

10:00-11:00

Topics:

Text

Topic

Timeframe

Wheeden &

Zygmund

BV Functions, Riemann Stieltjes Integrals

2 weeks

Lebesgue Measure

1 week

Lebesgue Functions, Integrals

2 weeks

Notes (later)

Banach-Tarski Theorem

2 weeks

Saxe

Metric Spaces & Topology

1 week

Probability

1 week

Lp spaces

1 week

Topics

Remaining time

 

Plan A: You work incredibly hard, do the assigned readings, bring questions to class, complete problems when assigned, and complete a final task for the semester. Everyone receives a well-deserved A.

Plan B: Someone screws up the Initial Plan, we have assigned homework that is turned in, a take-home exam that takes 40+ hours to finish, and much, much less fun. WeÕd all really prefer to stick with Plan A.

Learning Objectives:

After this class, students will be able to:

á       construct mathematical models, objects, proofs and/or analysis appropriate to measure theory and functional analysis.

á       develop mathematical techniques, theories and/or principles appropriate to measure theory and functional analysis.

á       demonstrate effective written communication of ideas in measure theory and functional analysis.

á       demonstrate effective oral communication of ideas in measure theory and functional analysis.