MAT4300 - Autumn 2008

Undervisningsplan

DatoUndervises avStedTemaKommentarer / ressurser
26.11.2008Dag Normann  Aud. 4, Vilhelm Bjerknes Hus  Mandatory assignment  We will show how to solve some of the problems in the mandatory assignment. 
25.11.2008Dag Normann  Aud. 3, Vilhelm Bjerknes Hus  Problems  We get through most of the backlog of problems. 
19.11.2008Dag Normann  B 70 NHA - Matematikkbygningen  Solving more problems  We continue solving problems. 
18.11.2008Dag Normann  Aud. 3, Vilhelm Bjerknes Hus  Solving problems  We will get into the backlog of problems. 
12.11.2008Dag 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. 
11.11.2008Dag 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 
05.11.2008Dag Normann  Aud. 4, Vilhelm Bjerknes Hus  Generation of measures, Exercises  We continue the constructions from yesterday 
04.11.2008Dag Normann  Aud. 3, Vilhelm Bjerknes Hus  Generation of measures  We start on the proper construction of the Lebesgue measure and other measures 
29.10.2008Dag 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. 
28.10.2008Dag 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. 
22.10.2008Dag Normann  Aud. 4, Vilhelm Bjerknes Hus  L_p-spaces and exam problems  We will continue to solve exercises on the board. 
21.10.2008Dag 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. 
15.10.2008Dag 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. 
14.10.2008Dag 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. 
08.10.2008Dag Normann  Aud. 4, Vilhelm Bjerknes Hus  Exercises from Chapters 5 and 6  We will go through the exercises of the week. 
07.10.2008Dag Normann  Aud. 3, Vilhelm Bjerknes Hus  The L_p-spaces  We will go through the rest of the material from Chapter 6 
01.10.2008Dag Normann  Aud. 4, Vilhelm Bjerknes Hus  Exercises on integration  We will work through most of the exercises of the week. 
31.09.2008Dag 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 
24.09.2008Dag Normann  Aud. 4, Vilhelm Bjerknes Hus  Integration  We will discuss the exercises of the week 
23.09.2008Dag 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. 
17.09.2008Dag 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. 
16.09.2008Dag Normann  Aud. 3, Vilhelm Bjerknes Hus  Integration and integrable functions  We will finnish Chapter 4 and start on Chapter 5 
10.09.2008Dag 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. 
09.09.2008Dag 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 
03.09.2008Dag Normann  Aud. 4, Vilhelm Bjerknes Hus  Measure Spaces  We will solve the exercises of the week, and, if needed, complete the introduction of measures. 
02.09.2008Dag 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. 
27.08.2008Dag 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. 
26.08.2008Dag Normann  Aud. 3, Vilhelm Bjerknes Hus  Measurable functions  We establish the closure properties of the class of measurable functions. 
20.08.2008Dag Normann  Aud. 4, Vilhelm Bjerknes Hus  Measurable spaces - measurable functions  We start on Chapter 2. 
19.08.2008Dag Normann  Aud. 3, Vilhelm Bjerknes Hus  Introduction  Vi snakker litt om hvem som er tilstede, motivasjonen for å ta emnet og den faglige bakgrunnen. Vi diskuterer hvordan vi best fordeler tiden mellom teori og oppgaveregning. Vi ser på filosofien bak Riemann vs. Lebesgue-integralet. [It is likely that we will use English in the lecture] 
Published July 16, 2008 3:22 PM - Last modified Nov. 21, 2008 2:05 PM
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