2H Linear Analysis - General Information

This is the Information Page for the course 2H Linear Analysis at the University of Durham, Michaelmas Term, 1999. Most of the following information appears on the Module outline handed out in the first lecture. A PostScript version of this sheet may be downloaded for printing by clicking here.

General Info

The lecturer for this half of the course is me, Jeff Hooper, and I can be reached by email at j.j.hooper@durham.ac.uk or by telephone at Extension 2548 (That's 374-2548 from outside the university).

It's probably a little redundant to list this here, but the homepage for the course is

http://fourier.dur.ac.uk:8000/~dma0jjh/teaching/linanal/home.html

Lectures

Lectures take place in room E005 at the following times:

  • Tuesdays 2.15 - 3.15
  • Fridays 9.00 - 10.00

Office Hours

My office is room CM114, and I've scheduled office hours for

  • Tuesday at 10.00.
  • Wednesday at 10.00.
If these times aren't convenient, we can easily make other arrangements, so please feel free to either ring me, send me an email message or drop by my office and we can schedule an alternate time.

Prerequisites and Corequisites

Officially, the prerequisites are Core A and either Core B or Single B. The corequisite is Complex Analysis II


Texts

Some material on inner product spaces will be found in most texts on linear algebra.

  • H. Anton, Elementary Linear Algebra, Wiley (ISBN 0-471-544396).
  • P.M. Cohn, Algebra, Vol. 1, Wiley (ISBN 0-471-101699).
Each of these contains a good account. Cohn's book is more demanding, but is also useful for some of the Algebra and Number Theory module.

A good introduction to functions on Rn  is

  • J.E. Marsden and M.J. Hoffman, Elementary Classical Analysis, Freeman (ISBN 0-716-721058).

Further Module Things

The Problem Sheet can be found here

The Assigned Work set so far can be found here


Other Information:

The blurb from your course booklets reads:

This term we cover two areas of mathematics that are united by a geometric theme. The first half of the term is a continuation of the first year Linear Algebra module, and treats the concept of an inner product space. The motivating example is Rn  with the dot product, in terms of which we may define length and angle. An inner product enables the notions of length and angle to be introduced in an arbitrary vector space. There is a natural link with the special properties of symmetric matrices, many of which can be given a geometric interpretation.
Note that the syllabus outline serves only as a general guide. Although we shall be covering most of the material listed there, we'll almost certainly proceed in a different order.


Please email Jeff Hooper if you find any errors or omissions, or have any questions, comments, or suggestions.
Return to Jeff Hooper's homepage
Return to the Maths Department homepage


Jeff Hooper
Department of Mathematical Sciences
University of Durham
Science Laboratories
South Road
Durham   DH1 3LE
United Kingdom

Email: j.j.hooper@durham.ac.uk
WWW: http://fourier.dur.ac.uk:8000/~dma0jjh/

12 October, 1999


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