Math 4970 and Math 60553 Modern Fourier Analysis
Fall 2017, Mondays and Wednesdays 18:00-19:20 p.m. in
Instructor: Dr. Igor Prokhorenkov. Office: TUC 311.
Office Hours: 10-11 on Mondays, Tuesdays, Thursdays, Fridays; 5-6 on Mondays and Wednesdays, and 1:30-2:30 on Tuesdays and Thursdays (I am also available at other times as needed).
| My Phone | Office: 817-257-6342 (I have voice mail) Home: 817-423-9030. Feel free to call me at home at reasonable times (9:00 am - 9:00 pm). |
| i.prokhorenkov@tcu.edu |
Class web page:
Class web page is available at the address
http://faculty.tcu.edu/prokhor/fourier.html, it contains links to the
syllabus and homework assignments.
Textbook:
Albert Boggess and Francis J. Narcowich A First Course in wavelets
with Fourier Analysis, 2nd ed.,
Wiley.
Prerequisites:
Math 30224, 30613, and 30524, both with C- or better
Course Description and Goals:
Fourier series and Fourier transform, discrete Fourier transform and numerical methods, convolution, signal processing, filtering, wavelet analysis.
Calculator/Computer:
We will occasionally use a graphing calculator, a computer, and the web
in this class. You will sometimes be allowed to use a graphing calculator
on
tests, but not one that does symbolic algebra. Laptops, iPads, Netbooks, Cell phones, PDA's and iPod-type devices
are not allowed during class, unless they are explicitly used for taking notes.
They must be silent and put away.
Grading:
The final grade for this course will be determined as follows.
| Homework | 25% | |
| Test #1 | 20% | Wed, October 4 |
| Test #2 | 20% | Wednesday, November 15 |
| Cumulative Final Exam | 35% | Monday, Dec 11, 6-8:30 pm |
Your weighted course average x determined by your scores and the percentages above will be used to determine the final grade as specified in the table.
|
Note that only undergraduates have the possibility of
the "D" grade. Example of grading calculation:
|
- Homework: will be assigned on the web site, due in the beginning of each class period. No late homework will be accepted, unless I give you an extension due to an official university excuse, illness, or serious family emergency. You may work together on the homework, but the paper you turn in should reflect your personal preparation. Do not copy, write your own solutions. I recommend that you do as much homework as possible completely on your own.
- The last day to withdraw from the class is November 10. The last day to select the Pass/No Credit option is November 13.
- Graduate students taking MATH 60553 will be assigned additional homework and additional exam work.
Attendance Policy: The university attendance policy states that regular and punctual class attendance is essential and that no assigned work is excused because of absence, no matter what the cause.
Statement of Disability Services at TCU
(Disability Statement approved Fall 2007 by the Undergraduate
Council / Revised Summer 2011)
Texas Christian University complies with the
Americans with Disabilities Act and Section 504 of the Rehabilitation Act of
1973 regarding students with disabilities.
Eligible students seeking accommodations should contact the Coordinator
of Student Disabilities Services in the Center for Academic Services located
in Sadler Hall, 1010. Accommodations are not retroactive, therefore,
students should contact the Coordinator as soon as possible in the term
for which they are seeking accommodations.
Further information can be obtained from the Center for Academic Services,
TCU Box 297710, Fort Worth, TX 76129, or at (817) 257-6567.
Adequate time must be allowed to arrange accommodations and accommodations
are not retroactive; therefore, students should contact the Coordinator
as soon as possible in the academic term for which they are seeking accommodations.
Each eligible student is responsible for presenting relevant,
verifiable, professional documentation and/or assessment reports
to the Coordinator. Guidelines for documentation may be found
at http://www.acs.tcu.edu/disability_documentation.asp.
Students with emergency medical information or needing special arrangements in case a building must be evacuated should discuss this information with their instructor/professor as soon as possible.
Academic Misconduct (copied from the Student Handbook): Any act that violates the academic integrity of the institution is considered academic misconduct. The procedures used to resolve suspected acts of academic misconduct are available in the offices of Academic Deans and the Office of Campus Life. Specific examples and more details are in the Student Handbook.
TCU Campus Resources for Students: Many resources exist on the TCU campus that may be helpful to students: Mary Couts Burnet Library (817-257-7117); Center for Academic Services (817-257-7486, Sadler Hall 1010 and 1022); the William L. Adams Writing Center (817-257-7221, 419 Reed Hall); Student Development Services (817-257-7855, BLUU Student Affairs Suite 2003); and TCU Office of Religious and Spiritual Life (817-257-7830, Jarvis Hall 1st floor).