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tma4170:2019v:start [2019-01-14] xuwa [Course Information] |
tma4170:2019v:start [2019-03-25] holden [Actual Lecture Plan] |
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* The first lecture will take place in GL-SB2 S21 on Monday, January 7. <color # | * The first lecture will take place in GL-SB2 S21 on Monday, January 7. <color # | ||
* The first exercise session will take place in <color # | * The first exercise session will take place in <color # | ||
- | * Exercise for week 2 can be found at the end of the notes, week 3 exercise will be handed out on Thursday, 10th January. | + | * Exercise for week 2 can be found at the end of the notes, week 3 exercise will be handed out on Thursday, 10th January.\\ |
+ | * <color # | ||
+ | * On Tuesday, we went through Exercise 2. Since we will <color # | ||
+ | * <color # | ||
+ | * <color # | ||
+ | * Week 5 exercise has two parts and can be found in the notes now, <color # | ||
+ | * <color # | ||
+ | * We will need some complex analysis results form the {{ : | ||
+ | * Exercise set for week 7 is online now. | ||
+ | * Exercise set for week 8 is online now. | ||
+ | * {{ : | ||
+ | * An {{ : | ||
===== Course Information ===== | ===== Course Information ===== | ||
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=== SYLLABUS-Notes === | === SYLLABUS-Notes === | ||
- | The curriculum is covered mainly by the lectures | + | The curriculum is covered mainly by the lectures based on the following |
- | (renewed from time to time)) and everything handed out during the lectures. | + | |
+ | 1. {{ : | ||
+ | |||
+ | 2. {{ : | ||
+ | |||
+ | 3. {{ : | ||
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The wavelet part of the notes is based on the following book: | The wavelet part of the notes is based on the following book: | ||
- | **A. Boggess & F. Narcowich: A first course in Wavelets with Fourier Analysis, Wiley, 2nd Edition, 2009**.\\ The book is available as an eBook through | + | **A. Boggess & F. Narcowich: A first course in Wavelets with Fourier Analysis, Wiley, 2nd Edition, 2009**. |
+ | |||
+ | We also recommend | ||
+ | |||
+ | ** Fourier Analysis and Applications, | ||
- | As mentioned on page 160 of Boggess & Narcowich, **Yves Meyer, Wavelets, Algorithms and Applications, | ||
=== LECTURER === | === LECTURER === | ||
+ | |||
* Helge Holden: | * Helge Holden: | ||
* Xu Wang: Office 942 in SB II, [[xu.wang@ntnu.no]] | * Xu Wang: Office 942 in SB II, [[xu.wang@ntnu.no]] | ||
Linje 53: | Linje 73: | ||
=== REFERENCE GROUP === | === REFERENCE GROUP === | ||
+ | * Paul Duffin: | ||
+ | * Dennis Fimland: | ||
| | ||
Linje 66: | Linje 87: | ||
===== Exercises ===== | ===== Exercises ===== | ||
- | We will hand out the exercise | + | Usually we will hand out the exercise, |
+ | |||
+ | {{ : | ||
+ | |||
+ | {{ : | ||
+ | |||
+ | {{ : | ||
+ | |||
+ | {{ : | ||
+ | |||
+ | {{ : | ||
+ | |||
+ | Wavelet Exercise (Week 12-14): from Boggess--Narcowich | ||
+ | |||
+ | Ch.4: 1, 3, 4, 5 | ||
+ | |||
+ | Ch.5: 5, 6, 10, 12 | ||
+ | |||
+ | Ch.5: 8, 17, 18 | ||
+ | |||
+ | |||
+ | Solutions can be found in the 2018 TMA4170 course page. | ||
Linje 85: | Linje 127: | ||
===== Tentative Lecture Plan (according to the notes) ===== | ===== Tentative Lecture Plan (according to the notes) ===== | ||
- | | Week 2 | 1.1-1.5 | | | + | | Week 2 | 1.1-1.5 |
- | | Week 3 | 1.5, Appendix 2 | | + | | Week 3 | 1.5, Appendix 2 | |
- | | Week 4 | 1.6-1.7 | | + | | Week 4 | 1.6-1.7 |
- | | Week 5 | 1.7-1.8 | + | | Week 5 | 1.7-1.8 |
- | | Week 6 | 2.1-2.3 | + | | Week 6 | 2.1-2.3 |
- | | Week 7 | + | | Week 7 |
- | | Week 8 | 2.5-2.6| | + | | Week 8 | 2.5-2.6 |
- | | Week 9 | 2.7-2.8| | + | | Week 9 | 2.7-2.8 |
- | | Week 10 | TBA | | | + | | Week 10 | B&N Ch.4 | |
- | | Week 11 | TBA | | + | | Week 11 | B&N Ch.5 | |
- | | Week 12 | TBA | + | | Week 12 | B&N Ch.6 |
- | | Week 13 | TBA | + | | Week 13 | B&N Ch.7 |
- | | Week 14 | TBA | + | | Week 14 | Repetition |
- | | Week 15 | Repetition | | + | | Week 15 | Repetition |
===== Actual Lecture Plan ===== | ===== Actual Lecture Plan ===== | ||
| Week 2 | Fourier series, Pointwise and Mean square convergence | | Week 2 | Fourier series, Pointwise and Mean square convergence | ||
| Week 3 | Lebesgue integral, elementary solution of D+s | Xu | | | Week 3 | Lebesgue integral, elementary solution of D+s | Xu | | ||
- | | Week 4 | + | | Week 4 |
- | | Week 5 | + | | Week 5 |
- | | Week 6 | + | | Week 6 |
- | | Week 7 | + | | Week 7 |
- | | Week 8 | + | | Week 8 |
- | | Week 9 | + | | Week 9 |
- | | Week 10 | TBA | | | + | | Week 10 | 2.6-2.7 |
- | | Week 11 | TBA | | | + | | Week 11 | 2.8, 1.7.3, 1.8.2 | Xu | |
| Week 12 | TBA | | Week 12 | TBA | ||
- | | Week 13 | TBA | | | + | | Week 13 | Mon: Sec 5.2 (p. 204-214) in Boggess & Narcowich. |
| Week 14 | TBA | | Week 14 | TBA | ||
| Week 15 | TBA | | Week 15 | TBA | ||
- |