| Dato | Undervises av | Sted | Tema | Kommentarer / ressurser |
| 26.11.2008 | Dag Normann? | Aud. 4, Vilhelm Bjerknes Hus? | Mandatory assignment? | We will show how to solve some of the problems in the mandatory assignment.? |
| 25.11.2008 | Dag Normann? | Aud. 3, Vilhelm Bjerknes Hus? | Problems? | We get through most of the backlog of problems.? |
| 19.11.2008 | Dag Normann? | B 70 NHA - Matematikkbygningen? | Solving more problems? | We continue solving problems.? |
| 18.11.2008 | Dag Normann? | Aud. 3, Vilhelm Bjerknes Hus? | Solving problems? | We will get into the backlog of problems.? |
| 12.11.2008 | Dag Normann? | Aud. 4, Vilhelm Bjerknes Hus? | Exercises? | If needed, we will finnish the proofs of Tonelli's teorem and Fubini's theorem. Then we will solve the problems given in chronological order.? |
| 11.11.2008 | Dag Normann? | Aud. 3, Vilhelm Bjerknes Hus? | Product of measures? | We will define the product of two measure spaces, and get as close to proving Tonelli's theorem and Fubini's theorem as possible? |
| 05.11.2008 | Dag Normann? | Aud. 4, Vilhelm Bjerknes Hus? | Generation of measures, Exercises? | We continue the constructions from yesterday? |
| 04.11.2008 | Dag Normann? | Aud. 3, Vilhelm Bjerknes Hus? | Generation of measures? | We start on the proper construction of the Lebesgue measure and other measures? |
| 29.10.2008 | Dag Normann? | Aud. 4, Vilhelm Bjerknes Hus? | Riesz representation, Exercises? | We will complete the introduction to the Riesz representation theorem, and then continue solving exercises. The exam problems for week 44 will be postponed to later weeks.? |
| 28.10.2008 | Dag Normann? | Aud. 3, Vilhelm Bjerknes Hus? | Radon-Nikodym derivatives + Lebesgue decomposition? | We will solve exercises N, O and P on the board before continuing on Lebesgue decomposition.? |
| 22.10.2008 | Dag Normann? | Aud. 4, Vilhelm Bjerknes Hus? | L_p-spaces and exam problems? | We will continue to solve exercises on the board.? |
| 21.10.2008 | Dag Normann? | Aud. 3, Vilhelm Bjerknes Hus? | Decomposition of charges and measures? | We will go through most of Chapter 8, but probably not all of it.? |
| 15.10.2008 | Dag Normann? | Aud. 4, Vilhelm Bjerknes Hus? | Exercises? | We will probably not be able to do all the exercises this week, and will leave some of them for next week.? |
| 14.10.2008 | Dag Normann? | Aud. 3, Vilhelm Bjerknes Hus? | The L-p--spaces as metric spaces? | The topics are collected from Chapters 6 and 7. Note that only the first part of Chapter 7 is relevant to us. If time, we will look into the exercises.? |
| 08.10.2008 | Dag Normann? | Aud. 4, Vilhelm Bjerknes Hus? | Exercises from Chapters 5 and 6? | We will go through the exercises of the week.? |
| 07.10.2008 | Dag Normann? | Aud. 3, Vilhelm Bjerknes Hus? | The L_p-spaces? | We will go through the rest of the material from Chapter 6? |
| 01.10.2008 | Dag Normann? | Aud. 4, Vilhelm Bjerknes Hus? | Exercises on integration? | We will work through most of the exercises of the week.? |
| 31.09.2008 | Dag Normann? | Aud. 3, Vilhelm Bjerknes Hus? | Charges, Banach Spaces? | We will introduce the concept of a Charge, and then start working on various Banach spaces as constructed in Chapter 6? |
| 24.09.2008 | Dag Normann? | Aud. 4, Vilhelm Bjerknes Hus? | Integration? | We will discuss the exercises of the week? |
| 23.09.2008 | Dag Normann? | Aud. 3, Vilhelm Bjerknes Hus? | Integrable function? | We will continue our exploration of the integrable functions. We will lecture on material from Chapter 5, but not necessarily in the order used in the textbook.? |
| 17.09.2008 | Dag Normann? | Aud. 4, Vilhelm Bjerknes Hus? | Integration? | We will solve the exercises of the week. One of these exercises continues the construction of the completion of a measure, and is very important.? |
| 16.09.2008 | Dag Normann? | Aud. 3, Vilhelm Bjerknes Hus? | Integration and integrable functions? | We will finnish Chapter 4 and start on Chapter 5? |
| 10.09.2008 | Dag Normann? | Aud. 4, Vilhelm Bjerknes Hus? | Properties of measures? | We will solve the exercises of the week, and if time, improve our understanding of integration.? |
| 09.09.2008 | Dag Normann? | Aud. 3, Vilhelm Bjerknes Hus? | Defining the integral? | We will give a general definition of the integral of non-negative measurable functions and start investigating this concept? |
| 03.09.2008 | Dag Normann? | Aud. 4, Vilhelm Bjerknes Hus? | Measure Spaces? | We will solve the exercises of the week, and, if needed, complete the introduction of measures.? |
| 02.09.2008 | Dag Normann? | Aud. 3, Vilhelm Bjerknes Hus? | Measure Spaces? | We will define what it means for a complex valued function to be measurable, and what it means for a function from one measurable space to another to be measurable. Then we will start on Chapter 3.? |
| 27.08.2008 | Dag Normann? | Aud. 4, Vilhelm Bjerknes Hus? | Measurable spaces and functions.? | We solve the exercises for Week 35. If time, we will discuss the concept og measure spaces.? |
| 26.08.2008 | Dag Normann? | Aud. 3, Vilhelm Bjerknes Hus? | Measurable functions? | We establish the closure properties of the class of measurable functions.? |
| 20.08.2008 | Dag Normann? | Aud. 4, Vilhelm Bjerknes Hus? | Measurable spaces - measurable functions? | We start on Chapter 2.? |
| 19.08.2008 | Dag Normann? | Aud. 3, Vilhelm Bjerknes Hus? | Introduction? | Vi snakker litt om hvem som er tilstede, motivasjonen for ? ta emnet og den faglige bakgrunnen. Vi diskuterer hvordan vi best fordeler tiden mellom teori og oppgaveregning. Vi ser p? filosofien bak Riemann vs. Lebesgue-integralet. [It is likely that we will use English in the lecture]? |
Undervisningsplan
Published July 16, 2008 3:22 PM
- Last modified Nov. 21, 2008 2:05 PM