MATH3403 - PARTIAL DIFFERENTIAL EQUATIONS

A. S. Jones,

Priestley, Room 340

email asj@maths.uq.edu.au

The lectures are scheduled for

Monday 12.00 Room 67-341

Wednesday 10.00 Room 67-341

Thursday 10.00 Room 67-341

Tutorial classes will be held Wednesday 2.00 in room 67-343

The use of the method of separation of variables, of integral transforms and of Green's functions in the solution of appropriate problems will be illustrated. The validity and applicability of these methods will be studied.

This subject presupposes that students can solve linear ordinary differential equations (usually but not exclusively with constant coefficients) and simple first order ordinary differential equations. Students should also revise the topics {\sl Fourier series}, {\sl Green's and Stokes' Theorems}, and {\sl the Inverse Function Theorem} from second year.

A set of lecture notes for the course, incorporating tutorial exercise, is available on this website.

There will be two 45 minute examinations, each contributing 30% to the final grade, commencing at 2.00pm on Wednesdays 25/08/04, 6/10/04 in lieu of tutorial classes on those days, and a final 1 hour examination, also contributing 30%, at the end of the course.

The first exam will test material covered in the first 12 lectures, the second, material covered in lectures 13-24 and the final exam will cover the remaining material in the course.

The remaining assessment will be assignments taken from the weekly tutorial sheets.

Students awarded special examinations will be required to sit equivalent examinations.

Students awarded supplementary examinations will be required to sit a two (2) hour examination, which will constitute the total assessment in these cases.

Note that the award of special and supplementary examinations is the prerogative of the relevant faculty and not of the lecturer.

Students should be aware of the provisions of the Disciplinary Statute of the University of Queensland, especially as they relate to examinations and assessment in general.

Any questions regarding interpretation of these provisions should be addressed to the University's Legal Officers.

Those who successfully complete this course will participate actively and innovatively in their professional and social communities of practice in the context of the developing knowledge economy. They will learn from experience - make context sensitive judgements that enable them to continuously develop and transform their practice and themselves.

Any student with a disability who may require alternative academic arrangements in the course is encouraged to seek advice at the beginning of the semester from a Disability Adviser at Student Support Services.

Criteria - Work submitted will be marked for

* accuracy;

* appropriateness of mathematical techniques; and

* clarity of presentation.

Your grade for this subject will be determined by the highest of the following levels of achievement that you consistently display in the items of summative assessment.

Grade of 7: the student demonstrates an excellent understanding of the theory of

the topics listed in the course outline and is highly proficient in applying the techniques to solve both theoretical and practical problems.

Grade of 6: the student demonstrates a comprehensive understanding of the theory of the topics listed in the course outline and is proficient in applying the techniques to solve both theoretical and practical problems.

Grade of 5: the student demonstrates an adequate understanding of the theory of

the topics listed in the course outline and can apply the techniques to solve problems.

Grade of 4: the student demonstrates an understanding of the theory of the topics listed in the course outline and demonstrates a knowledge of the techniques used to solve problems.

Grade of 3: the student demonstrates some understanding of the theory of the topics listed in the course outline and demonstrates a knowledge of the techniques used to solve problems.

Grade of 2: the student demonstrates limited understanding of the theory of the topics listed in the course outline and demonstrates limited knowledge of the techniques used to solve problems.

Grade of 1: the student demonstrates very limited understanding of the theory of the topics listed in the course outline and demonstrates very limited knowledge of the techniques used to solve problems.

In addition to the tutorial classes, I will be available for consultations Wednesday mornings from 11.00 to 1.00.

At other times, if my office door is open, knock (loudly).