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| * We used separation of variables to introduce the topic of Fourier series. | * We used separation of variables to introduce the topic of Fourier series. | ||
| + | ===== Week 6 ===== | ||
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| + | ==== Lecture 15 (10 Mar 2020) ==== | ||
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| + | * We began our investigation of Fourier series, starting off by defining terminology of periodic, even, and odd functions. | ||
| + | * We stated the orthogonality property of sines and cosines | ||
| + | |||
| + | ==== Lecture 16 (12 Mar 2020) ==== | ||
| + | * We derived the Fourier sine and cosine coefficients | ||
| + | * We defined the notion of a Fourier sine series or a Fourier cosine series | ||
| + | * We studied an example of estimating abs(x) using a Fourier series | ||
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| + | ==== Lecture 17 (13 Mar 2020) ==== | ||
| + | * We did two examples of computing Fourier series | ||