MATH3401 - COMPLEX ANALYSIS

A. S. Jones,

Priestley, Room 340

email asj@maths.uq.edu.au

The lectures are scheduled for

Wednesday 12.00 Room 67-141

Thursday 8.00 Room 67-141

Friday 3.00 Room 67-141

Tutorial classes will be held Friday 2.00 in room 67-240

This subject is an introduction to the theory of functions of a complex variable. In particular it will explore the consequences of differentiability on an open connected set, and demonstrate some of the applications.

Complex Numbers, Analytic Functions, Elementary Functions, Mapping by Elementary Functions, Integrals, Power Series, Residues and Poles, Infinite products and integral representations of functions.

Text Book Theory and Problems of Complex Variables

by Murray R. Spiegel (Schaum's Outline Series)

A set of lecture notes for the course is available on this website.

There will be weekly assignments, taken from the text book, which will count 10% towards the final result and a final 2hour examination.

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.

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 Thursday mornings from 9.00 to 11.00.

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