If you have the uncorrected 2002 printing of the Walnut text, use this list of errata to correct your text. (New copies will be the corrected version.)
| Date |
Topic |
Homework/Handouts/Links |
| 9/4-9/7 |
||
| T |
Introduction (in 014) | Treat Chapter 1 as reference; I will introduce needed concepts as we go along. |
| W
|
2.1 Trig series | |
| F |
2.1 cont'd | Intro Exercises (due Wed 9/12) |
| 9/10-9/14 |
||
| M |
2.1 Convergence | 2.25,2.26 (due Fri 9/14) |
| T |
Lab 1 | Convergence of FS (email by 10am Tues 9/18) |
| W |
Series and norms | Exercises on norms (due Fri 9/14) |
| F |
2.2 Approx Identities | 2.38, 2.41(a,c,e) (due Fri 9/21) |
| 9/17-9/21 |
||
| M |
2.3 Generalized Fourier Series | 2.60, 2.63 (due Fri 9/21) |
| T |
Lab 2 | Heat equation (email by 10am Tues 9/25) |
| W |
2.3 cont'd |
2.66, 2.67 (due Fri 9/28) |
| F |
3.1 Fourier Transform |
|
| 9/24-9/28 |
||
| M |
3.2 Basic properties | Fourier transform practice (due Wed 9/26) 3.10 (due Fri 9/28) |
| T |
Lab 3 | Fourier transform (email by 10am Tues 10/2) |
| W |
3.3 Fourier inversion |
|
| F |
3.4 Convolution |
3.24,3.25(a) (due Mon 10/1) |
| 10/1-10/5 |
||
| M |
3.5 Plancherel's Formula 3.6 L2 functions |
|
| T |
Lab 4 (Will be out of town, so no formal lab meeting) |
Linear Filters (due Wed 10/10) |
| W |
Review |
|
| F |
Exam 1: Sections 2.1-3.4 |
|
| Fall Break |
||
| 10/10-12 |
||
| W |
3.7 Smoothness vs Decay 3.8 Dilation, Translation, Modulation |
Dido's Problem (due Mon 10/15) |
| F |
3.9 Bandlimited functions and sampling formula |
3.52 (due Wed 10/17) |
| 10/15-10/19 |
||
| M |
Uncertainty principle |
Uncertainty principle |
| T |
Lab 5 |
Sampling (email by 10am Tues 10/21) |
| W |
4.1 Signals |
4.6 (due Fri 10/19) |
| F |
4.2 Systems |
4.25,4.29a,4.30 (due Wed 10/24) 4.42(a),4.43 (due Fri 10/26) |
| 10/22-10/26 |
||
| M |
4.2 Systems, cont'd |
|
| T |
Lab 6 Fast Fourier transform |
FFT exercise (due Tues 10/30) |
| W |
4.3 Periodic signals and the discrete Fourier transform |
|
| F |
5.1 Dyadic step functions |
|
| 10/29-11/2 |
||
| M |
5.2 Haar system |
5.7,5.17,5.18,5.20(b) (due Fri 11/2) |
| T |
Lab 7 |
Haar series (email by 10am Tues 11/6) |
| W |
5.3 Haar bases on [0,1] |
5.28 (for scales 0 through 4) (due Wed 11/7) |
| F |
5.4 Haar series vs Fourier series |
5.31,5.32 (due Fri 11/9) |
| 11/5-11/9 |
||
| M |
Jump discontinuity estimate |
|
| T |
Lab 8 |
Haar transform (email by 10am Tues 11/13) |
| W |
6.1 Discrete Haar Transform |
6.7, 6.10 (due Mon 11/12) |
| F |
6.1 Matrix form of DHT |
|
| 11/12-11/16 |
||
| M |
6.3 Image analysis with DHT |
|
| T |
Lab 9 |
DHT image analysis (email by 10am Tues 11/27) |
| W |
Review |
|
| F |
Exam 2: Sections 3.5-6.1 |
|
| Thanksgiving |
||
| 11/26-11/30 |
||
| M |
7.1 Systems of translates
|
7.8, 7.11(a) (due Mon 12/3) |
| T |
Lab 10 |
Multiresolution analysis (email by 10am Tues 12/4) |
| W |
7.3 Examples of MRA |
|
| F |
MRA continued | |
| 12/3-12/7 |
||
| M |
7.4 ON Wavelet bases |
|
| T |
Lab 11 |
Wavelets in MRA(email by 10am Tues 12/11) |
| W |
7.4 continued |
|
| F |
7.4 continued |
|
| 12/10-12/12 |
||
| M |
Review |
|
| T/W |
Project meetings | |
Final written project report due 4pm Fri 12/14 |
Take-home exam due 4pm Tues 12/18 (covers Chapters 5-7) |