Announcements:
Solution to Problem 2 on the
Midterm is here.
Midterm Exam. The Midterm Exam will be a limited-time take-home exam to be completed
sometime during the week of October 28-November 5. The exam will be handed out in class on
October 27. The exam will cover
material in Chapters 1-3 of Stein and Shakarchi. Instructions for the take-home midterm
will be printed on the exam but in general are the following:
1.
You must
identify one three-hour period during the week to take the exam.
2.
You are
permitted to consult your textbook and your class notes, but no other outside
aid.
3.
Any
communication about the exam of any kind to your classmates is strictly
forbidden.
Columbus Day
Holiday. Next week is the Columbus Day holiday. Tuesday classes are cancelled and Monday
classes meet on Tuesday. Therefore
our class will be held on Tuesday at the usual time and place.
Deadlines. Please be aware of all relevant deadlines. Details may be found here.
Homework: (all problems are from Stein and Shakarchi.)
Homework #1 (due 09-10-12) Exercise 4(c)--(i), p. 24, Exercise 5, p. 26, Exercise 10, p. 27, Exercise on Traveling Waves.
Homework #2 (due 09-17-12) Exercise 2, Exercise 4(b), Exercise 5, and Exercise 6(b), (c), p. 59 (Hint: For Exercise 6, use result of Exercise 5 with delta = pi.)
Homework #3 (due 09-24-12) Exercise 10, Exercise 11, p. 61.
Homework #4 (due 10-08-12) Exercise 15, Exercise 16, p. 63.
Homework #5 (due 10-15-12) Exercise 4, p. 88, Exercise 8, p. 89, Exercise 15(a), (b), p. 91.
Homework #6 (due 10-29-12) Homework #6
Homework #7 (due 11-12-12) Exercise 2, p. 161, Exercise 3(a), p. 162, Exercise 4, p. 162.
Homework #8 (due 11-19-12) Exercise 7, p. 163, Exercise 10, p. 163
Homework #9 (due 12-03-12) Exercise 9, p. 163, Exercise 14, p. 164, Exercise 15, p. 165, Exercise 4 on the PSF.
Course Syllabus: pdf.
Useful references:
· Fourier Analysis: An Introduction, Elias M. Stein and Rami Shakarchi, Princeton U. Press (2003), ISBN 0-691-11384-X
· The Fourier Transform and its Applications, Ronald Bracewell, McGraw-Hill 2000. ISBN 0-07-303938-1.
· Fourier Analysis and Boundary Value Problems, James Brown and Ruel Churchill (6th edition), McGraw-Hill 2000. ISBN 0-07-232570-4.
· Fourier Analysis, James Walker, Oxford University Press 1988. ISBN 0-19-504300-6.
· Fourier Analysis, T. W. Korner, Cambridge University Press 1988. ISBN 0-521-38991-7.
· Exercises for Fourier Analysis, T. W. Korner, Cambridge University Press 1993. ISBN 0-521-43849-7.
· Harmonic Analysis and Applications, John Benedetto, CRC Press 1996. ISBN 0-8493-7879-6.
· Fourier Analysis and its Applications, G. B. Folland, Brooks/Cole 1992.
· A First Course in Fourier Analysis, D. Kammler, Prentice Hall 2000
Useful links: