MA50175 Topics in Differential Equations
Mathematical Materials Science
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Aims and Objectives |
General Information |
Instructor |
Lecture time and location |
Lecture news |
Homework assignments |
References |
Assessment, Exams & Grades
Aims and Objectives
See the Programme/Unit Catalogue.General information
Organisational issues are discussed in the information sheet handed out in week one.
I hope you will enjoy the course. Please do not hesitate to contact me if you have any problems. The contact details are given below.
I want you to understand everything we discuss in class. Please identify the topics you find difficult to understand, and discuss them with your colleagues. Please come and see me if the problem persists.
Instructor
| Instructor: | Johannes Zimmer |
|
Lecture time and location
| Wednesdays 9:15 | 3W 3.7 |
| Thursdays 10:15 | 3E 3.8 |
| Thursdays 13:15 | 1W 2.8A |
Lecture news
- 11 May: The material discussed in class will also be among the topics of the Conference on Multi-scale problems: modelling, analysis and applications , 12-14 September 2005, Bath Institute for Complex Systems, in Bath. You are strongly encouraged to attend some talks - you will recognise some of the topics and methods, even if the presentations will of course be much more advanced than our class.
- 20 April: Mathematical Materials Science will be the topic of an exciting conference taking place in Bath this year: Multi-scale problems: modelling, analysis and applications (12th - 14th September 2005) is an opportunity to meet scientists who have made fundamental contributions to the field we discuss in class!
- 20 April: As agreed on in class, the assigend coursework has been rescheduled to avoid a clash with MA50177: it was handed out on Wednesday, 20 April, and is due on Friday 6th May at 12.30 in the Departmental Office.
- 18 March: Please study the material given out in class yesterday over the Easter break (Starting with Section 2.4 in the handout with a Review on Continuum Mechanics, and Sections 3.1 and 3.2 in the handout on Sobolev spaces). Please feel free to contact me if you have questions or problems with these texts; I will be around except for the period between Easter Saturday and Thursday after Easter.
- 18 March: The Midterm Evalution Sheet is now available online. You can still hand in your evaluation, and feedback is always appreciated.
- 17 March: We will have a Question & Answer Session at 14:15 in 1W 3.6.
- 11 March: Martin Kružík delivered this week a talk 'Oscillations and concentrations in sequences of gradients' in the BICS Seminar. The topics he covered are too advanced to be discussed in class, but they are in spirit of what we are learning in class. I encourage you to look at his slides — he started with the examples we discussed in class, and you might get an idea of one area of research related to microstructures.
- 24 February: There will be an opportunnity to discuss questions arising from the first directed reading session today at 18:15 in 1W 3.6. Coffee, tea and biscuits will be provided to encourage participation.
- 17 February: Roger Moser (Courant Institute) will deliver a talk on `Energy concentration phenomena and the Willmore functional' on Monday, 21 February, 11:00 in 1W 3.6. This is loosely related to topics we will discuss in class. You are very welcome to attend. There are three more talks on Analysis and PDEs, certainly equally interesting: 9:15 Nils Ackermann (Giessen): A Geometric View of the Long Time Dynamics of Superlinear Parabolic Problems, 9:55 Karsten Matthies (FU Berlin): Multifrequency averaging of evolution equations, 11:40 Oleg Safronov (KTH Sweden): TBA.
- 17 February: Scaling regimes for paper ships: The slide
shown today was taken from this
web
page.
- 15 February: MA50175 is changing from Mondays at 17.15. This lecture will now be held on Thursdays at 13:15 in 1W 2.8A.
Homework assignments
| No | Assigned | Return date | Homework | ||
| 8 | 12 May | 18 May | |||
| 7 | 5 May | 11 May | |||
| 6 | 28 April | 4 May | |||
| 5 | 17 March | 14 April | |||
| 4 | 10 March | 17 March | |||
| 3 | 3 March | 10 March | |||
| 2 | 24 Feb | 3 March | |||
| 1 | 17 Feb | 24 Feb |
Each week some problem sheet questions will be set. Doing the problem sheet questions is an essential part of the course. Even though these problem sheets are not part of the assessed coursework, in the later tests and assessed assignments it will be assumed that you have done these questions. Moreover the content of the classes in subsequent weeks will be designed on the assumption that you have done the problem sheets.
References
The references are available in ps and in pdf.
Assessment, Exams & Grades
The overall course grade will be determined according to the following weights: Assessed coursework 25%, examination 75%. The Assignment will be set on Wednesday 20th April and due on Friday 6th May at 12.30 in the Departmental Office.
