Analysis

Course Description and Grading Breakdown

This course will cover harmonic analysis and a bit of spectral theory. There will be four parts 1. Classical Fourier series  2. Basic harmonic analysis: (Maximal function, Hilbert transform, BMO, weights)
3. Spectral theorem 4. Littlewood Paley theory and applications. The grades will be determined by 4 problem sets, one on each part. The course will run only nine weeks because graduate students must work on qualifying exams in the tenth.


Course Meeting Time and Location
Monday, Wednesday and Friday
11:00 - 11:55 am
B127 Gates Chemical Laboratory (Building 26)

Course Instructor Contact Information and Office Hours
276 Cahill Center for Astronomy and Astrophysics, Office hours Wednesday 1:30-2:30

TA Contact Information and Office Hours
2-B Math Building, Office Hours Saturday 6-7

Course Schedule and Textbook

 DateTopic 
  
  


Course Policies
Late work - 


Assignments
 Date PostedAssignment Due Date 
   
   


Midterm and Final Exam


Collaboration Table
 HomeworkExams
You may consult:  
Course textbook (including answers in the back)YESYES
Other booksYESNO
Solution manualsNONO
InternetYESNO
Your notes (taken in class)YESYES
Class notes of othersYESNO
Your hand copies of class notes of othersYESYES
Photocopies of class notes of othersYESNO
Electronic copies of class notes of othersYESNO
Course handoutsYESYES
Your returned homework / examsYESYES
Solutions to homework / exams (posted on webpage)YESYES
Homework / exams of previous yearsNONO
Solutions to homework / exams of previous yearsNONO
Emails from TAsYESNO
You may:

Discuss problems with othersYESNO
Look at communal materials while writing up solutionsYESNO
Look at individual written work of othersNONO
Post about problems onlineNONO
For computational aids, you may use:

CalculatorsYES*NO
ComputersYES*NO

* You may use a computer or calculator while doing the homework, but may not refer to this as justification for your work.  For example, "by Mathematica" is not an acceptable justification for deriving one equation from another.  Also, since computers and calculators will not be allowed on the exams, it's best not to get too dependent on them.

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