TMA4225 Foundations of analysis: Fall term 2014

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 are given in English.

The syllabus (“pensumliste”) consists of Chapters 1–6 and 8 of the textbook, plus the notes on coin tossing space and the Littlewood principles. The core material is mostly found in Chapters 3–6 and 8, plus the Littlewood note. Chapter 1 is mostly background, except § 1.4, which belongs to the core. In Chapter 2, § 2.5 and § 2.6 must be considered core material, as does the bit on superior and inferior limits and their basic properties. I expect only a cursory knowledge of the construction of the probability measure on coin tossing space.

We have a reference group consisting of two students: André Flakke (mail: flakke¹) and Tobias Unneland (mail: tobiasdy¹).

¹ stud.ntnu.no

Schedule:

  • Opening lecture Monday 10:15–12:00 in MA24.
  • Lectures Mondays 10:15–12:00 in MA24
  • Exercises Mondays 12:15–13:00 in MA24. First time 25 August, but see below!
  • Lectures Thursdays 10:15–12:00 in R4

The final examination is on 18 December.

More information will appear in due course (one hopes).

2014-11-26, Harald Hanche-Olsen