Fourier Series and Measure -- Winter 2017
Pure Math 450/650
Meeting times: MWF 9:30 -- 10:30 in MC 4045
Office hours: Tuesdays 2:00 -- 3:00
Office hours before exam: Thursday April 6, 2:00--3:00
Monday, April 10, 2:00--3:00
Final Exam Tuesday April 11, 12:30--3:00 in MC 4041
List to know for the exam
Textbooks:
- Real analysis and applications: theory in practice by K.R. Davidson and A.P. Donsig
- An Introduction to Lebesgue Integration and Fourier Series by H.J. Wilcox and D.L. Myers
Reference books:
The book by Seeley is very inexpensive. The last three books are more advanced, but are standard texts. Folland and Royden are commonly used as texts for PMath 451/651.
- An Introduction to Fourier Series and Integrals by R. Seeley
- An introduction to harmonic analysis by Y. Katznelson
- Real analysis by G.B. Folland
- Real analysis by H.L. Royden
- Existence and uniqueness of solutions of ODEs
- The steady state heat problem and Fourier series
- Fourier series of continuous functions
- Introduction to Lebesgue measure
- Fourier series of L^p functions
Grading
- There will be approximately 6 assignments.
- There is no midterm exam.
- Undergraduates: Assignments 40%, Final Exam 60%.
- Math grad students have to give a talk and write a short paper.
Assignments 40%, Talk and paper 10%, Final Exam 50%.
- Graduate students in other faculties: the talk and paper is optional.
Assignments
Comments and Solutions
Back to Ken Davidson's Home Page