TMA4225 Foundations of analysis: Fall term 2013
Course information
Lecturer, teaching assistant, etc etc for the course is Harald Hanche-Olsen (email: hanche [at] math [dot] ntnu [dot] no).
The textbook will be McDonald & Weiss: A Course in Real Analysis, second edition. The lectures will be given in English.
More information will appear in due course (one hopes).
Schedule
| Mondays | 12:15–14:00 | F3 | Lecture |
|---|---|---|---|
| Wednesdays | 10:15–12:00 | F4 | Lecture |
| Thursdays | 14:15–15:00 | F2 | Exercises |
But note that the first week, there will be a lecture instead of the exercises on Thursday.
Syllabus
The syllabus (“pensumliste“) consists of chapters 1–6 and 8 in the textbook, and the note on Egoeov's and Lusin's theorems (found on the Lectures page).
Teaching goals
The teaching goals for the course according to the course description are:
- Knowledge. The student masters basic concepts from measure theory, including sets of measure zero, measurable functions, the Lebesgue integral and Lebesgue spaces. The student has an overview of the central results of the theory of Lebesgue integration, including convergence theorems and Fubini's theorem. Moreover, the student is familiar with applications of measure theory to probability theory.
- Skills. The student is able to perform operations using the Lebesgue integral and Lebesgue spaces. Moreover, the student is able to apply integration theory in one or several variables to formulate and solve problems in mathematics and technology, including problems involving discontinuous data.
Reference group
- Dag-Vidar Bauer (dagvidb)†
- Terje Bull Karlsen (terjebul)†
- Trygve Bærland (trygve.baerland)††
- Filippo Remonato (filippor)†
† at stud.ntnu.no
†† at gmail.com
Examination
The evaluation is just the final examination, on 4 December at 09:00.