Course Content
Many problems in Mathematics and applications can be expressed, and in some cases solved, in the language of topological vector spaces, and especially Banach spaces. This term will present the basic definitions and some of the important theorems.
Text
There is no official textbook for the course. I presenting topics in roughly the same order, and with largely the same notation, as the second edition of Harro Heuser's Funktionalanalysis, but the course is meant to understandable from the lectures alone.
Exams
There will be single exam during the usual annual exam period, worth 85% of your course mark. It will be divided into two parts, marked separately. Students who do only the first term will, of course, only take the first part of the exam. We are not allowed to announce exam dates and locations on course web pages, but I will give a link here to the official exam timetable once it is finalised.
I have prepared a practice exam. The format is the same as for the real exam, i.e. "attempt three of four". The topics are similar to those of the real exam, although the content of the questions, of course, is not.
More information about the content and format of the exam will appear here as the exam period draws nearer.
Assignments
Assignments will count for 15% of your course mark. They will be posted here, roughly weekly, and will be due at the beginning of the Wednesday 5:00pm lecture. They will not be distributed in class. Solutions will be posted here once the assignment has been corrected.
| Assignment | Due | Version | Problems | Solutions |
|---|---|---|---|---|
| 1 | 10 October 2012 | Id: 3421-f2012-1.m4,v 1.1 2012/10/03 20:48:03 john Exp john | PS PDF | PS PDF |
| 2 | 17 October 2012 | Id: 3421-f2012-2.m4,v 1.1 2012/10/11 08:50:05 john Exp john | PS PDF | PS PDF |
| 3 | 31 October 2012 | Id: 3421-f2012-3.m4,v 1.1 2012/10/24 15:48:01 john Exp john | PS PDF | PS PDF |
| 4 | 14 November 2012 | Id: 3421-f2012-4.m4,v 1.1 2012/11/01 18:05:27 john Exp john | PS PDF | PS PDF |
| 5 | 21 November 2012 | Id: 3421-f2012-5.m4,v 1.1 2012/11/15 14:27:14 john Exp john | PS PDF | PS PDF |
Tutorials
There are no tutorials scheduled for this course.
Other Stuff
Anything which doesn't fit elsewhere will be posted here. For example,
- Statements and proofs of the four inequalities we need: Cauchy-Schwarz, Holder, Jensen and Minkowski.