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General |
MATH 464 , Spring 2012: Notes and Summary
Lectures notes are posted here. Check periodically for the latest version.
| Lecture | Date | What was covered | Notes | Textbook Section |
| 1 | Jan. 26 | Introduction | get assignment 1 | 1.1 |
| 2 | Jan. 31 | Review of analysis | get assignment 2 | - |
| 3 | Feb. 2 | Review of linear spaces with scalar product | turn in assignment 1 | - |
| 4 | Feb. 7 | Fourier series (I) | turn in assignment 2 | 1.3 |
| 5 | Feb. 9 | Fourier series (II): L^2 theory | 1.3 | |
| 6 | Feb. 14 | Fourier series (III): pointwise convergence | turn in assignment 3 | 1.5 |
| 7 | Feb. 16 | Fourier series: Gibbs phenomenon. Fourier transform | Matlab code: convergence, Gibbs | 1.5 |
| 8 | Feb. 21 | Fourier transform: Examples | turn in assignment 4 | 3.1 |
| 9 | Feb. 23 | Rules for computing FT (I) | 3.2 | |
| 10 | Feb. 28 | Rules for computing FT (II); sine-cosine transforms; convolutions; integral equations | turn in assignment 5 | Problem 1.3; 2.1,2.2, 2.3 |
| 11 | Mar. 1 | Rules for computing FT (III); Smoothnes vs. decay; |
3.3(153),4.2(193), |
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| 12 | Mar. 6 | convolutions - discrete signals & echo location | turn in assignment 6; Matlab code |
1.2 (16-19), 2.3 (105-106) , 2.4 |
| 13 | Mar. 8 | Sampling of bandlimited signals; Sannon formula; reconstruction error (I) | EGR 0135 | 8.1, 8.2, 8.4 |
| 14 | Mar. 13 | Oversampling and reconstruction error (II) | turn in assignment 7 | 8.2, 8.4 |
| - | Mar. 13 | REVIEW SESSION | MTH 0307 | 3:00pm-4:30pm |
| 15 | Mar. 15 | MID TERM EXAM | ||
| - | Mar. 20 | No Class | Spring Break | |
| - | Mar. 22 | No Class | Spring Break | |
| 16 | Mar. 27 | Windowed Fourier Transform (I) | turn in assignment 8 | Chapter 11 |
| 17 | Mar. 29 | Windowed Fourier Transform (II) | Matlab code | |
| 18 | Apr. 3 | Uncertainty Inequality; Instantaneous Frequency | turn in assignment 9 | |
| 19 | Apr. 5 | Discrete Time STFT | ||
| 20 | Apr. 10 | Applications of STFT | turn in assignment 10 | |
| 21 | Apr. 12 | Continuous Wavelet Transform | ||
| 22 | Apr. 17 | Wavelet Transform & applications | turn in assignment 11; Matlab code | |
| 23 | Apr. 19 | Haar Wavelet Basis | ||
| 24 | Apr. 24 | Haar Wavelet Basis (2) | turn in assignment 12 |
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| 25 | Apr. 26 | Haar Wavelet and MRA | ||
| 26 | May. 1 | MRA Wavelets (1) |
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| 27 | May. 3 | MRA Wavelets (2) | ||
| 28 | May. 8 | turn in assignment 13 | ||
| 29 | May. 10 | Last Class |
