MATH3093 - Fourier Analysis - 2023/24
Announcement
- Please be reminded that the midterm exam of Math3093 will be held on March 21 (Thursday), 19:30pm-21:30pm, at LSB LT1.
General Information
Lecturer
-
Professor De-Jun Feng
- Office: LSB, R211
- Tel: 39437965
- Email:
Teaching Assistant
-
Mr. Tianhan Yi
- Office: LSB 232
- Tel: 39435294
- Email:
Time and Venue
- Lecture: Tu 10:30AM - 12:15PM, Science Centre L4; Th 10:30AM - 11:15AM, Leung Kau Kui Bldg 101
- Tutorial: Th 11:30AM - 12:15PM, Leung Kau Kui Bldg 101
Course Description
This course is an introduction to Fourier series and Fourier transform. Topics include: Orthogonal families of functions, mean-square convergence of Fourier series and completeness, pointwise convergence of Fourier series, Gibbs's phenomenon; Fourier transform and its inversion, Plancherel formula. Further topics will be selected from: The isoperimetric inequality, Poisson summation formula Heisenberg uncertainty principle.
Textbooks
- E.M. Stein and R. Shakarchi, Fourier analysis. An introduction. Princeton Lectures in Analysis, 1. Princeton University Press, Princeton, NJ, 2003
References
- Y. Katznelson, An introduction to harmonic analysis. Third edition. Cambridge Mathematical Library. Cambridge University Press, Cambridge, 2004.
- T. W. Körner, Fourier analysis. Cambridge University Press, Cambridge, 1988.
Lecture Notes
- Hand-writing class note on Jan 09 2024
- Hand-writing class note on Jan 11 2024
- Hand-writing class note on Jan 16 2024
- Hand-writing class note on Jan 18 2024
- Hand-writing class note on Jan 23 2024
- Hand-writing class note on Jan 30 2024
- Hand-writing class note on Feb 01 2024
- Hand-writing class note on Feb 06 2024
- Hand-writing class note on Feb 08 2024
- Hand-writing class note on Feb 20 2024
- Hand-writing class note on Feb 22 2024
- Hand-writing class note on Feb 26 2024
- Hand-writing class note on Feb 28 2024
- Hand-writing class note on Mar 12 2024
- Hand-writing class note on Mar 14 2024
- Hand-writing class note on Mar 19 2024
- Hand-writing class note on Mar 21 2024
- Hand-writing class note on Mar 26 2024
- Hand-writing class note on Mar 28 2024
- Hand-writing class note on April 02 2024
- Hand-writing class note on April 09 2024
- Hand-writing class note on April 11 2024
- Hand-writing class note on April 16 2024
- Hand-writing class note on April 18 2024
Tutorial Notes
- Tutorial 1
- Tutorial 2
- Tutorial 3
- Tutorial 4
- Tutorial 5
- Tutorial 6
- Tutorial 7
- Tutorial 8
- Tutorial 9
- Tutorial 10
Assignments
- Homework 1
- Homework 2
- Homework 3
- Homework 4
- Homework 5
- Homework 6
- Homework 7
- Homework 8
- Homework 9
- Homework 10
Solutions
- Homework 1 Sol
- Homework 2 Sol
- Homework 3 Sol
- Homework 4 Sol
- Homework 5 Sol
- Homework 6 Sol
- Homework 7 Sol
- Midterm Sol
- Homework 8 Sol
- Homework 9 Sol
- Homework 10 Sol
Assessment Scheme
| Assignments | 10% | |
| Mid-term Exam | 40% | |
| Final Exam | 50% |
Honesty in Academic Work
The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:
http://www.cuhk.edu.hk/policy/academichonesty/and thereby help avoid any practice that would not be acceptable.
Assessment Policy Last updated: April 18, 2024 16:21:46