| Dato | Undervises av | Sted | Tema | Kommentarer / ressurser |
| 25.11.2005 | ? | B 70? | Eksamen des. 2004. Eksamen desember 97 (2).? | Last session before the final exam. Eksamen des.04 is located here and hereSolutions to Dec.04Solution to Dec. 97 (2): page 1, page 2, page 3, page 4, page 5.? |
| 22.11.2005 | ? | B 71? | 10. Product Measures. ? | The Theorems of Tonelli and Fubini.The following solutions also contain 3 of the obligatory problems: Solution to Eksamen juni 2000Solution to Eksamen juni 2002? |
| 18.11.2005 | ? | B 70? | 9T (c); 8 N, O, 10 C, E, D. Eksamen juni 00 : 4, 5; (des. 97 : 2)? | Eksamen des. 97 is located here? |
| 15.11.2005 | ? | B 71? | 10. Product Measures? | The Product Measure Theorem. Cross Sections.? |
| 11.11.2005 | ? | B 70? | 7 B, H, I; 8C, E, K, Q, 9T? | ? |
| 08.11.2005 | ? | B 71? | 8. Decomposition of Measures? | There are several central theorems here: The Jordan Decomposition, Radon-Nikodym, The Lebesgue Decomposition, Riesz Representation theorem.? |
| 04.11.2005 | ? | B 70? | 6 E, F, H, J, K, L, N, P, U; (7 A, B, H, I).? | ? |
| 01.11.2005 | ? | B71? | 6. L_p spaces, 7. Modes of Convergence, and 8. Decomposition of Measures? | ? |
| 28.10.2005 | ? | B70? | 9K, L, M, U; (6 E, F, H, J).? | ? |
| 25.10.2005 | ? | B71? | 6. L_p spaces.? | H?lder?s inequality will be proved using convexity of the exponential function.? |
| 21.10.2005 | ? | B70? | 9 F, G, H, I, J, K, L, M? | ? |
| 18.10.2005 | ? | B71? | 9. Generation of measures? | Hahn?s extension Theorem Lebesgue measure on the real line.? |
| 14.10.2005 | ? | B70? | 5N, S, T. 9B, C, E. Eksamen juni 1999:1, 2 a,b.? | Eksamen juni 1991, 1 Eksamen juni 1991, 2? |
| 11.10.2005 | ? | B71? | 9. Generation of measures? | Outer measures? |
| 07.10.2005 | ? | B70? | Eksamen desember 1972 oppg.1; 5 O, P, (Q,) R, (S, T) ? | Eksamen des. 72 oppg. 1 is located here? |
| 04.10.2005 | ? | B71? | 9. Generation of Measures ? | Hurtigtest 6? |
| 30.09.2005 | ? | B70? | 4L, M, N; 5A, B, C, D, L, M? | ? |
| 27.09.2005 | ? | B71? | 5. Integrable Functions? | Hurtigtest 5? |
| 23.09.2005 | ? | B70? | 3 (L),M; 4 C, H, I, J, K, (L, M, N)? | ? |
| 20.09.2005 | ? | B71? | 4. The Integral? | Hurtigtest 4? |
| 16.09.2005 | ? | B70? | 2 V; 3 J, K, L, M; 4 C, H, I, K? | ? |
| 13.09.2005 | ? | B71? | 4. The Integral? | Hurtigtest 3? |
| 09.09.2005 | ? | B70? | Exercises 2 I, K, M, N, O, P, Q, R. 3A, B, C, (J, and K). ? | ? |
| 06.09.2005 | ? | B71? | 2. Measurable functions, 3. Measures? | ? |
| 02.09.2005 | ? | B70? | Exercises 2A, B, C, D, E, F, H, (I, K, and M). ? | You are encouraged to do as many exercises as possible before each problem session.? |
| 30.08.2005 | ? | B71? | 2. Measurable Functions? | Hurtigtest2? |
| 26.08.2005 | Terje Sund? | B70? | M?lbare funksjoner (Kap.2 i L?reboken)).Vi forbereder innf?ringen av Lebesgueintegralet ved ? definere sigma-algebraer og m?lbare funksjoner.? | It is important to notice that for any sigma algebra S based on a given set X, the elements of S are always subsets of X. Hurtigtest1By solving the "hurtigtest", you can check if you have learned some of the important concepts, results and techniques from the pensum. ? |
| 23.08.2005 | Terje Sund? | B71 Matematikkbygget? | Introduction? | Weaknesses of the Riemann integral. The extended real numbers. ? |
Undervisningsplan
Publisert 10. aug. 2005 18:43
- Sist endret 25. nov. 2005 16:27