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Undervisningsplan

DatoUndervises avStedTemaKommentarer / ressurser
18.01.2005Tom 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 
25.01.2005Tom 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, 
01.02.2005Tom Lyche  B1036 14:15 - 16:00  6.1  The Stone-Weierstrass Theorem in a metric space 
08.02.2005Tom 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,  
15.02.2005Tom 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  
22.02.2005Tom 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. 
01.03.2005Tom Lyche  B1036 14:15 -16  4.6  Jackson theorems 
08.03.2005Tom 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 
29.03.2005Michael Floater  B1036 14:15 -16  Isaacson and Keller, Sections 5.2.0, 5.2.1, 5.2.2  Error in polynomial interpolation. Hermite interpolation. 
05.04.2005Michael 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 
12.04.2005Michael Floater  B1036 14:15 -16   5.4.1, 5.4.2  Chebyshev theorem and Chebyshev polynomials 
19.05.2005Michael 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 
26.04.2005Michael Floater  B1036 14:15 -16  6.1, 6.2  More divided differences. Neville and Aitken algorithms 
03.05.2005Michael 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. 
10.05.2005Michael 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. 
24.05.2005Michael 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 
Publisert 3. jan. 2005 17:34 - Sist endret 27. mai 2005 16:06