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We have finished grading the exam, but I have no information when the results will be available on StudentWeb (they may be already).
Syllabus for the exam: Chapters 1 and 2 will not be tested as such; they are only relevant to the extent their are needed to understand the rest of the text. Pages 52-54 (on the invariance of the Lebesgue measure under rigid motions) will not be tested, and neither will pages 92-100 on the relationship between the Riemann and Lebesgue integrals, but the students are assumed to be familiar with the statement of Theorem 11.8. The short section on distribution functions (pages 128-129) will not be tested. Otherwise all of chapters 3-13 are relevant for the exam. In chapter 19, the students are only expected to be familiar with the Radon-Nikodym Theorem 19.2 (without proof) and the Lebesgue Decomposition Theorem 19.9.
Solution to the mandatory assignment is available here
I'll use the last lectures to give a survey of the syllabus, perhaps solving a few problems along the way to show the basic ideas in action. I'll start Thursday 18th by taking a closer look at different types of collections of sets (sigma-algebras, semi-rings, Dynkin systems etc.)
Exercises for the problem session November 25th: 13.7, 13.8, 13.11, 19.3 (drop the part about rephrasing 17.1), 19.5, 19.8
If you didn't pick up your mandatory assignment in class, it is available in the shelves on the seventh floor of NHA.
I have approved all mandatory assignments, but as I need more time for comments and feedback, the papers will not be returned until I notify you on this page. To be on the safe side, please check that your paper really has been approved!
Exercises for the problem session November 18th: 13.1, 13.2, 13.4, 13.6.
Remember that the mandatory assignment is due Thursday, November 4th.
Exercises for the problem session November 4th: 12.1, 12.2, 12.7
Exercises for the problem session November 11th: 12.8, 12.9, 12.10, 12.14. 12.18
The mandatory assignment is now available here . The deadline is November 4th, 2.30 pm.
Exercises for the problem session October 21st: 10.3, 10.10, 10.14
Exercises for the problem session October 28th: 11.1, 11.3, 11.4, 11.11, 11.17
Exercises for the problem session October 7th: 8.3. 8.4, 8.12, 8.14, 8.18
Exercises for the problem session October 14th: 8.18, 9.1, 9.7, 9.11
Student representatives (tillitsvalgte) in this course are:
Kristina Dahl: kristrd@math.uio.no
Aksel Holler Jonassen: akselhjo@math.uio.no
FieldsmedaljevinnerCedric Villani gir torsdag 30. september fra 12.15 til 13.00 et popul?rvitenskapelig foredrag om Ludvig Bolzmanns ideer i Sophus Lies auditorium.
Se for ?vrig: Public lecture in Mathematics By Fields Medal Laureate Cedric Villani
Exercises for the problem session on September 30: 7.6 and 7.10.
Exercises for the problem session on September 23rd: 6.6, 6.7, 6.9, 7.3
Exercises for the problem session on September 16th: 5.10, 6.3, 6.4
As the lecture/problem session on September 9th is cancelled, the problems for that week will not be solved in class. You will find detailed solutions under the heading "Solutions to problems in the textbook" on the course homepage.
I promised to write out the solution to problem 4.6, click here
The lecture/problem session September 9th is cancelled. I will write a solution to all the problems and post on the course homepage.
Exercises for the problem session September 9th:
4.10, 4.13, 5.2, 5.5
Exercises for the problem session on September 2:
2.1, 2.3, 2.5, 2.7
3.1, 3.2, 3.4
4.1, 4.6, 4.7
I have checked the formalities, and the lectures will from now on be given in English. You will find a note covering more or less the contents of the first lecture here
http://www.uio.no/studier/emner/matnat/math/MAT4300/h10/MAT4500.pdf
Don't be confused by the title — it was originally written for another course!