Session Overview
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We introduce general periodic functions and learn how to express them as Fourier series, which are sums of sines and cosines. |
Session Activities
Read the course notes:
Check Yourself
Take the quizzes:
- Cosines with Common Periods (PDF)
- Choices (PDF)
- Answer (PDF)
- Cosines with Common Frequencies (PDF)
- Choices (PDF)
- Answer (PDF)
Session Activities
Watch the lecture video clip:
- Introduction to Fourier Transform (00:10:56)
Read the course notes:
Watch the lecture video clip:
-
Fourier Series for Functions with Period 2L (00:06:54)
Fourier Series for Functions with Period 2L
> Download from iTunes U (MP4 - 94MB)
> Download from Internet Archive (MP4 - 94MB)
Read the course notes:
Watch the lecture video clip:
- Orthogonality Relations (00:32:40)
Read the course notes:
Watch the problem solving video:
- Computing Fourier Series (00:14:41)
Complete the practice problems:
Check Yourself
Complete the problem sets:
- Problem Set Part I Problems (PDF)
- Problem Set Part I Solutions (PDF)
- Problem Set Part II Problems (PDF)
- Problem Set Part II Solutions (PDF)