Measure Theory & Functional Analysis DaveÕs Syllabus Spring 2017
In this class we will cover graduatelevel material on Measure Theory and
Functional Analysis.
Random Facts:
Professor:

Dave Kung


Office: 
175
Schaefer Hall, x4433 (or
2408954433) 


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: 

Topics:
Text 
Topic 
Timeframe 
Wheeden & Zygmund 
BV Functions, Riemann Stieltjes Integrals 
2 weeks 
Lebesgue Measure 
1 week 

Lebesgue Functions,
Integrals 
2 weeks 

Notes (later) 
BanachTarski Theorem 
2 weeks 
Saxe 
Metric Spaces &
Topology 
1 week 
Probability 
1 week 

L^{p} 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 welldeserved
A.
Plan B: Someone screws up the Initial Plan,
we have assigned homework that is turned in, a takehome 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.