SUBJECT PROFILE

MATH3402 - FUNCTIONAL ANALYSIS

Lecturer

A. S. Jones,

Priestley, Room 340

email asj@maths.uq.edu.au

Timetable

The lectures are scheduled for

Wednesday 10.00 Room 8-212

Thursday 1.00 Room 67-141

Friday 11.00 Room 67-341

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

Purpose

This subject considers the basic concepts of convergence, completeness

and continuity. Their application to functions of a single real variable

will be considered and refined so that they may be applied in more

general settings.

Subject outline

The Real line and Euclidean Space

Metric Spaces

Topological Spaces

Compactness

Connectedness

Uniform Convergence

Complete Metric Spaces

 

Text Book

Introduction to Metric and Topological Spaces

by W.A. Sutherland Oxford Science Publication

Assessment

There will be a 45 minute examination, contributing 30% to the final grade, commencing at 2.00pm on Friday 2/05/03 in lieu of tutorial class on that day.

This exam will test material covered in the first 18 lectures of the course.

There will be a 2 hour examination during the examination period at the end of the semester.

This examination will cover the whole syllabus, but will be biased towards the second part of the syllabus.

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

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

Ignorance of the Law is no excuse

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

Any questions regarding interpretation 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 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 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.

Consultation

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).