Welcome to Analysis III!

a.k.a. the hardest class ever taught at SMCM

Measure Theory & Functional Analysis    DaveÕs Syllabus                        Spring 2013

                                                                       
In this class we will cover graduate-level material on Measure Theory and Functional Analysis. We will do this very fast. We will all work hard to understand the material and keep up with the absurdly fast pace.

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.

TA:

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

Office Hours:

Mon

2:30-3:30

and by appointment.

Tue

10:00-11:00

Wed

12:15-1:15

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

 

Initial Plan: 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.

Backup Plan: 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.