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Math 430: Fourier Analysis
Class meets (Olin 215): MWF 12:30 - 1:20
Drop-In Hours (Olin 202): Mon 1:30-2:30, Wed 10:30-12:20, Fri 2-3
Textbook
Video lectures
Mathematica Google Doc (please don't modify it!)
Joke 1
Joke 2
Joke 3
Wed, Sept 4: Overview of Fourier analysis, series convergence
Read Appendix A
Friday, Sept 6: Quiz on series. Complex numbers, multiplication, Examples: 1, 2.
Read 1.1 - 1.4, watch Lecture 1 (start at 16:26 - button on right side) and Lecture 2
Monday, Sept 9: Periodicity in space vs time, sums of sinusoids, relationship to complex numbers
Mathematica: 1,2,3,4,5,6,7,8,9
Read 1.5 - 1.8, watch Lecture 3.
Wednesday, Sept 11: Formula for Fourier coefficients, Spectrum.
Mathematica: 1,2,3
Read 1.9 - 1.10, and finish the Linear Algebra Review.
Friday, Sept 13: Square integrable functions, Inner Product.
Read 1.11 - 1.12, and watch the first part of Lecture 4 (up to heating the circle).
Finish the Inner Product Review.
Monday, Sept 16: Fourier Series and Differential Equations.
Class meets (Olin 215): MWF 12:30 - 1:20
Drop-In Hours (Olin 202): Mon 1:30-2:30, Wed 10:30-12:20, Fri 2-3
Textbook
Video lectures
Mathematica Google Doc (please don't modify it!)
Joke 1
Joke 2
Joke 3
Wed, Sept 4: Overview of Fourier analysis, series convergence
Read Appendix A
Friday, Sept 6: Quiz on series. Complex numbers, multiplication, Examples: 1, 2.
Read 1.1 - 1.4, watch Lecture 1 (start at 16:26 - button on right side) and Lecture 2
Monday, Sept 9: Periodicity in space vs time, sums of sinusoids, relationship to complex numbers
Mathematica: 1,2,3,4,5,6,7,8,9
Read 1.5 - 1.8, watch Lecture 3.
Wednesday, Sept 11: Formula for Fourier coefficients, Spectrum.
Mathematica: 1,2,3
Read 1.9 - 1.10, and finish the Linear Algebra Review.
Friday, Sept 13: Square integrable functions, Inner Product.
Read 1.11 - 1.12, and watch the first part of Lecture 4 (up to heating the circle).
Finish the Inner Product Review.
Monday, Sept 16: Fourier Series and Differential Equations.