Nandagopal Ramachandran |
E-mail: naramach@ucsd.edu |
Office: APM 5748 |
Office hours: Th 5-6pm, Fr 9:15-10:15am |
Announcements:
Prerequisites: Math 140B or Math 142B, or consent of instructor.
Course description: Rigorous introduction to the theory of Fourier series and Fourier transforms. Topics include basic properties of Fourier series, mean square and pointwise convergence, Hilbert spaces, applications of Fourier series, the Fourier transform on the real line, inversion formula, Plancherel formula, Poisson summation formula, Heisenberg uncertainty principle, applications of the Fourier transform.
Textbook: Fourier Analysis by E.M. Stein and R. Shakarchi. We will cover most of chapters 1-5.
Homework: Homework will be assigned weekly.
Homework is due every Friday by 4pm and should be placed in
the drop-box in the basement of APM. No late homework will be accepted. If, for any reason, you
cannot turn in a homework assignment, keep in mind that the lowest two scores
will be dropped.
Presentation: Every student is expected to give a (roughly) half hour presentation in front of their peers. This can be: teach new material in class, lead a discussion session for half hour, present some interesting topic they discovered that is somehow related to the course etc.
Quiz: There will be one in-class quiz on October 22nd . There will be no make-up exams.
Midterm Exam: There will be one in-class midterms on November 7th . There will be no make-up exams.
Final exam: The final exam is scheduled for Wednesday, December 11, 11:30-2:30pm.
Exam policy (applies to all midterms and final): Cheating will be taken very seriously and automatically reported to the Academic Integrity Office. The use of any electronic devices (cell-phone, smart watch, earbud, calculator, etc) is prohibited during exams and it will be considered cheating, thus it will be reported to the Academic Integrity Office.
Grading: Your final score will be calculated as follows
15% Homework + 5% Presentation+ 10% Quiz + 25% Midterm + 45% Final Exam
Regrades: Homework and midterm exams will be returned in the discussion sections. If you wish to have your homework or exam regraded, you must return it immediately to your TA. Regrade requests will not be considered once the homework or exam leaves the room. If you do not retrieve your homework or exam during discussion section, you must arrange to pick it up from your TA within one week after it was returned in order for any regrade request to be considered.
List of homework assignments: