MAT 201B, Winter Quarter, 2011
Lectures: MWF 9:00–9:50 a.m., 140 Physics
Discussion section: T 9:00-9:50 a.m., MSB 2112
Office hours: MW 2:30–3:30 p.m. (or by appointment)
Text: Applied Analysis, J. K. Hunter and B. Nachtergaele
John Hunter
Department of Mathematics
University of California
Davis, CA 95616, USA
e-mail: jkhunter@ucdavis.edu
Phone:
Office: 3230 Mathematical Sciences Building
Course grades are submitted. There's a 50% chance that you can see them on the SmartSite gradebook and a 50% chance I made some mistake in attempting to release them to you.
Solutions to the final exam are here.
Depending on time, we'll cover Chapters 6–9, 13 of the text The main topics are:
The Department listing of the course syllabus is here.
TA: Mihaela Ifrim, MSB 3137
TA Office Hours: TBA
There will be an in-class midterm and a final.
Grade will based on homework, midterm, and final weighted as follows:
Scores will be posted on Smartsite.
The midterm is here. Solutions (courtesy of Mihaela) are here.
An outline of the topics we have discussed in Fourier series is here, and a brief outline of the topics on bounded linear operators is here
Here are some sample midterm questions.
Good introductions to Fourier series are in
Fourier Analysis, E. M. Stein and R. Shakarchi, 2003
Fourier Series and Integrals, H. Dym and H. P. McKean, 1972
A wide variety of topics are covered in the chatty
Fourier Analysis, T. W. Korner, 1988
The following book is not quite as elementary as the title suggests and contains a lot of interesting analysis
An Introduction to Harmonic Analysis, Y. Katznelson, 3rd ed., 2004
The classic (but older) work on Fourier series is
Trigonometric series, A. Zygmund, 1959 (reprinted 1993)
Here are some brief notes on measure theory and integration
Some numerical plots of functions related to Fourier series are here.
Problem set 1 (Due Friday, Jan 7)
Solutions
Remarks
Problem set 2 (Due Friday, Jan 14)
Solutions
Remarks
Problem set 3 (Due Friday, Jan 21)
Solutions
Remarks
Here is a paper by Moore on
the Borel summation of Fourier series.
Problem set 4 (Due Friday, Jan 28)
Solutions
Remarks
Problem set 5 (Due Friday, Feb 4)
Solutions
Remarks
Problem set 6 (Due Friday, Feb 11)
Solutions
Problem set 7 (Due Friday, Feb 18)
Solutions
Problem set 8 (Due Friday, March 4)
Solutions
Problem set 9 (Due Friday, March 11)
Solutions