| Dato | Undervises av | Sted | Tema | Kommentarer / ressurser |
| 18.01.2005 | Tom Lyche? | Room B1036, the Niels Henrik Abel building 10. floor. ? | Cheney 1.1 - 1.3, 1.6? | Compact sets in metric spaces, normed linear spaces, existence and uniqueness of best approximation froma finite dimensional subspace? |
| 25.01.2005 | Tom Lyche? | B1036 14:15-17:00? | Cheney side 65-69 Problems: 2,6,11 page 6-7; 1,5,13 page 11-12? | Uniform Convergence. (Check your favorite Advanced Calculus text.) The Weierstrass Theorem,? |
| 01.02.2005 | Tom Lyche? | B1036 14:15 - 16:00? | 6.1? | The Stone-Weierstrass Theorem in a metric space? |
| 08.02.2005 | Tom Lyche? | B1036 14:15 - 17:00? | 1.5 (to Helly's theorem), 3.4 (page 72, page 74 to Lemma, Problem 1); Problems: 3,6,8,16 page 70-71; 5,6 page 193.? | Haar systems (T - systems), Convexity, ? |
| 15.02.2005 | Tom Lyche? | B1036 14:15 - 16:00? | 3.4 (Page 73- Theorem Page 76, de la Vallée Poussin Theorem); 3.5 Unicity Theorem, Haar's Unicity Theorem? | Existence and Uniqueness of best approximation in the uniform norm ? |
| 22.02.2005 | Tom Lyche? | B1036 14:15 - 17:00? | Modulus of continuity (Top p88, Problems p89, 3,4 p 149) 4.6? | Oppgaver2,8,10, 11,12,20 (Page 77-78); 2,5 page 83.? |
| 01.03.2005 | Tom Lyche? | B1036 14:15 -16? | 4.6? | Jackson theorems? |
| 08.03.2005 | Tom Lyche? | B81 14:15 -17:00? | 6.3 (Best approximation in the L_1 norm)? | Problems 1,3,4,6,7,10 p149? |
| 15.03.2005 | ? | ? | ? | No lecture? |
| 22.03.2005 | ? | ? | ? | Easter holiday? |
| 29.03.2005 | Michael Floater? | B1036 14:15 -16? | Isaacson and Keller, Sections 5.2.0, 5.2.1, 5.2.2? | Error in polynomial interpolation. Hermite interpolation.? |
| 05.04.2005 | Michael Floater? | B1036 14:15 -17? | 5.3.0, 5.3.1, 5.3.2, 5.3.3, 5.3.5 (up to page 212). Problems: Sec. 2: 5.2.1, 5.2.2, 5.2.3, Sec. 3: 5.3.6.? | Least squares approximation? |
| 12.04.2005 | Michael Floater? | B1036 14:15 -16 ? | 5.4.1, 5.4.2? | Chebyshev theorem and Chebyshev polynomials? |
| 19.05.2005 | Michael Floater? | B1036 14:15 -17? | 6.1. Problems: 5.3.10, 5.3.11, 5.3.18, 5.4.1, 5.4.2.? | Newton polynomials and divided differences? |
| 26.04.2005 | Michael Floater? | B1036 14:15 -16? | 6.1, 6.2? | More divided differences. Neville and Aitken algorithms? |
| 03.05.2005 | Michael Floater? | B1036 14:15 -17? | 6.5, pages 288-290, and 6.6. Problems: Chap 6, Sect. 1: Questions 2,3,7. ? | Error in numerical differentiation. Multivariate interpolation.? |
| 10.05.2005 | Michael Floater? | B1036 14:15 -16? | 7.0 and 7.1? | Numerical quadrature. Error analysis of Newton-Cotes, Simpson's rule? |
| 17.05.2005 | ? | ? | ? | Norwegian national holiday. No lecture.? |
| 24.05.2005 | Michael Floater? | B1036 14:15 -17? | 7.3 and 7.5.0, 7.5.1. Problems: Chap 6. Sec. 6, Questions 1 and 3. ? | Gauss quadrature, composite rules? |
Undervisningsplan
Publisert 3. jan. 2005 17:34
- Sist endret 27. mai 2005 16:06