Hobart
Introduction
Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.
This unit offers studies in Advanced Analysis suitable for Honours level. Topics offered may vary from year to year depending on the available staff and students’ interests. Examples of topics that could be considered as suitable may include
(1). The Four Theorems in Functional Analysis: Hanh Banach, Uniform Boundedness, Open Mapping and Closed Graph Theorems;
(2). Theory of Measure and Integration;
(3). Fourier Analysis;
(4). Areas in topology.
This unit is an optional unit for students enrolled in Honours Mathematics, Statistics, or Physics, or by permission of the Unit Coordinator.
Summary 2021
Unit name | Advanced Topics in Analysis |
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Unit code | KMA454 |
Credit points | 12.5 |
Faculty/School | College of Sciences and Engineering School of Natural Sciences |
Discipline | Mathematics |
Coordinator | Michael Brideson |
Available as student elective? | No |
Breadth Unit? | No |
Availability
Note
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Units are offered in attending mode unless otherwise indicated (that is attendance is required at the campus identified). A unit identified as offered by distance, that is there is no requirement for attendance, is identified with a nominal enrolment campus. A unit offered to both attending students and by distance from the same campus is identified as having both modes of study.
Special approval is required for enrolment into TNE Program units.
TNE Program units special approval requirements.
* 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).
Learning Outcomes
1 | Explain and reproduce the proofs and implications of major results in mathematical analysis. |
2 | Identify mathematical structures within theoretical and real-world problems that enable their solution using advanced tools from analysis. |
3 | Clearly communicate results in analysis to an audience of peers using appropriate language and notation. |
4 | Conduct a mathematical investigation via guided and independent learning. |
Fees
Requisites
Prerequisites
Students may enrol in this unit if they are eligible to enrol in Honours Mathematics, Statistics and Decision Science, or Physics, or by agreement with the Mathematics Honours Coordinator.
Teaching
Teaching Pattern | TBA/refer to unit outline |
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Assessment | AT1 - 30 minute presentation (10%) AT2 - 45 minute mid-semester test (15%) AT3 - 45 minute end-of-semester test (15%) AT4 - 4 to 6 assignments (60%) |
Timetable | View the lecture timetable | View the full unit timetable |
Textbooks
Required | None |
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The University reserves the right to amend or remove courses and unit availabilities, as appropriate.