David Joyner, Math Department
Computational Fourier Transforms course
Computational Fourier Transforms course webpage
Policy on grading and syllabus for capstone course SM472
- Each student produces a written report resulting from several iterations of review and editing.
- Each student gives several oral presentations.
- 6 week grade: This will be based on
- 12 week grade: This will be based on homework done, a 10 page outline of your paper (some examples: Culver, Eubanks, Nelan, Tyler), and one 20-30 minute presentation.
- 16 week grade: This will be based on homework done, the 15 page final version of your paper, and the final presentation. Attendance and presentation at the SASMC conference may replace the class presentation, if the student wishes.
- DCT and DST
- Applications of FTs to DEs
- Convolution and applications
- Shannon's sampling theorem
- Parseval's identity and Poisson's summation formula
- Filters and FTs
- DWTs and wavelets.
- Statistics (based on the extra credit exercises from ch 5).
- chapter 1: exercises: 1-4, 6-7, 9-12, 14-15, 21, 23-27
- chapter 2: exercises 1-3, 6, 8-9
- chapter 3: extra credit exercises: 1-3
- chapter 5: exercises: 1, 7, 16, 23, 49-50
extra credit: 39-48, 62-63