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
| Unit name | Advanced Topics in Analysis |
| Unit code | KMA454 |
| Credit points | 12.5 |
| College/School | Sciences and Engineering School of Natural Sciences |
| Discipline | Mathematics |
| Coordinator | Associate Professor Jeremy Sumner |
| Delivered By | University of Tasmania |
| Level | Honours |
Availability
Specific information on 2027 unit availability will be available in August
Learning Outcomes
- Explain and reproduce the proofs and implications of major results in mathematical analysis.
- Identify mathematical structures within theoretical and real-world problems that enable their solution using advanced tools from analysis.
- Clearly communicate results in analysis to an audience of peers using appropriate language and notation.
- Conduct a mathematical investigation via guided and independent learning.
Fee Information
2027 fee information will be available in August.
Teaching
| Teaching Pattern | 2 x 1-hr lecture/tutorial weekly, 1 x 1-hr tutorial weekly |
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| Assessment | Presentation (10%)|Test 1 (15%)|Test 2 (15%)|Assignment (Multiple) (60%) |
| Timetable | View the lecture timetable | View the full unit timetable |
Textbooks
| Required |
Required readings will be listed in the unit outline prior to the start of classes. |
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The University reserves the right to amend or remove courses and unit availabilities, as appropriate.