Measure Theory & Functional Analysis

Math 485

Measure Theory & Functional Analysis    Daves 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:

Ive never taken a Measure Theory course but Ive 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. Wed all really prefer to stick with Plan A.


Learning Objectives:

After this class, students will be able to:

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

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

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

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