Hobart
This unit has been discontinued.
Introduction
Aims at providing a solid foundation in the basic concepts, principles and methods of functional analysis, a study which is mainly concerned with vector spaces and operators acting upon them. The principles learnt from basic calculus and linear algebra will be developed further to the more general setting of abstract infinite-dimensional vector spaces. This provides powerful tools in handling problems in applied mathematics and theoretical physics; also helps the understanding of the development of mathematical theories such as partial differential equations and the theory of operators.
The first part of the course is devoted to the theory of metric spaces, the general setting in which discussions of central concepts such as continuity and convergence can be carried out. This is followed by a detailed study of normed and Banach spaces, inner-product sapaces and Hilbert spaces, with the emphasis on abstract reasoning and proof. The theory of operators forms an important part of the unit; it opens up many avenues of application in a variety of fields (such as quantum mechanics) for further study.
Summary 2021
Unit name | Analysis 3B |
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Unit code | KMA352 |
Credit points | 12.5 |
Faculty/School | College of Sciences and Engineering School of Natural Sciences |
Discipline | Mathematics |
Teaching staff | |
Level | Advanced |
Available as student elective? | Yes |
Breadth Unit? | No |
Availability
Note
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* The Final WW Date is the final date from which you can withdraw from the unit without academic penalty, however you will still incur a financial liability (see withdrawal dates explained for more information).
Fees
Requisites
Prerequisites
Teaching
Teaching Pattern | 3x1-hr lectures, 1-hr tutorial weekly |
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Assessment | 3-hr exam (50%), assignments and class tests (50%) |
Timetable | View the lecture timetable | View the full unit timetable |
Textbooks
Required | Information about any textbook requirements will be available from mid November. |
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The University reserves the right to amend or remove courses and unit availabilities, as appropriate.