Andrew Stacey  

Tue, 16th Jun 2009 (Teaching :: TMA4145h2009) TMA4145  Linear Methods, Autumn 2009 The webpage for this course has RSS2.0 and Atom feeds. Click on one of the icons in the top left corner to subscribe (make sure that you are on a page relating to this course when you do so, otherwise you may get the feed for the entire site by mistake). The latest versions of the main browsers support feeds (sometimes called Live Bookmarks) or you can find a good free feed reader for your computer. It is probably best to get one that detects when an entry has been updated (rather than just one that looks for new entries).
[Full link] Tue, 16th Jun 2009 (Teaching :: TMA4145h2009) Summary Linear problems occur throughout mathematics and its applications. This course will examine the mathematical tools needed to study such problems. The simplicity and elegance of these tools is part of what makes linearity such a desirable property. Indeed, many problems that are not inherently linear are often made linear as a first step in their analysis. Problems that require only a finite number of pieces of information to specify them can be reduced to the study of matrices and coordinate vectors. However other problems, such as the evolution of a sound wave, require socalled infinite dimensional analysis. In this course we shall study both. The topics that we shall cover include:
[Full link] Tue, 16th Jun 2009 (Teaching :: TMA4145h2009) Course Materials Due to the nature of this course there is no single text which we follow. It is therefore not possible to assign a specific textbook for this course. The following is a list of reference books for this course. In order of use:
Note that the two linear algebra books are free (see the respective pages for exact details of their licenses). Although the Hilbert space book is an excellent one, we only use a small amount of it. Therefore I do not recommend that you buy it just for the sake of buying a book. It will not be necessary to buy it to take this course. In particular, other documents and resources will be made available when we are covering that material. On the other hand, if you are looking for a book on Hilbert space theory then it is an excellent resource to have.
[Full link] Mon, 30th Nov 2009 (Teaching :: TMA4145h2009) Lecture Notes Technology permitting, the lectures will be delivered as PDF presentations. I shall endeavour to make the notes available the day before the lecture so that students can "follow along". Assuming that the technology works, there may be additional notes written during the lectures. These will be posted shortly after the lecture finishes. I shall often prepare a little more than I shall actually give, any extra will be taken up in the next lecture or deferred to the wiki. The notes will be available in several different layouts. It is important to know which is which.
Note: all are as PDFs.
[Full link] Mon, 17th Aug 2009 (Teaching :: TMA4145h2009) Course Wiki This course has a wiki. The intention is that the wiki forms a bridge between the lectures and the books. Both lectures and books by themselves have limitations: lectures are of fixed duration whilst books are not specific to this course. The wiki will serve as a midpoint between the two. One function will therefore be as a place for me or others to write supplementary notes. By virtue of it being a wiki, though, it will also serve as a place where students can interact with the lecturer and assistants. This is somewhat of an experiment and so any suggestions on how best to use this will be considered. The wiki displays For those interested, the wiki is instiki and uses markdown and itex to produce MathML.
[Full link] Thu, 20th Aug 2009 (Teaching :: TMA4145h2009) Reference Group This course has a reference group. This is a way for those taking the course to give feedback while the course is in progress. The reference group will meet regularly with me to pass on (anonymously) any comments that they have received. This is the best way to pass on your comments on the course so that I can take them into account during the course. Both positive and negative comments are welcome. The reference group are:
[Full link] Mon, 17th Aug 2009 (Teaching :: TMA4145h2009) Official Information Links to official information about this course:
Note: The øving has been extended, rescheduled, and relocated. Beginning in week 35, it will take place on Wednesdays from 14:00 to 16:00 in the following rooms:
[Full link] Thu, 10th Dec 2009 (Teaching :: TMA4145h2009 :: Messages) Revision Session There will be a revision session in S4 on Monday 14th December from 2pm to 4pm. There is a page on the wiki for recording in advance any questions that you would like covered in that session.
[Full link] Fri, 3rd Dec 2010 (Teaching :: TMA4145h2009) Old Assignments and Midterms Here are some homework assignments from the previous two years, with solutions, together with some old exams, again with solutions. Remember that although the core material stays the same, the focus can vary from year to year. Therefore use these carefully. Remember that they weren't designed explicitly for this course given this year. Assignments (2008)
Assignments (2007)
Midterms
Finals
[Full link] Fri, 28th Aug 2009 (Teaching :: TMA4145h2009) Homework The definitive version of each homework is the MathML version on the wiki. However, to ensure that everyone can access it, there is a PDF there and another will be listed here.
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