Advanced Topics in Analysis unit (KMA454)

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

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

Field of Education	Commencing Student Contribution 1,3	Grandfathered Student Contribution 1,3	Approved Pathway Course Student Contribution 2,3	Domestic Full Fee 4
			not applicable

¹ Please refer to more information on student contribution amounts.
² Please refer to more information on eligibility and Approved Pathway courses.
³ Please refer to more information on eligibility for HECS-HELP.
⁴ Please refer to more information on eligibility for FEE-HELP.

If you have any questions in relation to the fees, please contact UniConnect or more information is available on StudyAssist.

Please note: international students should refer to What is an indicative Fee? to get an indicative course cost.

Teaching

Teaching Pattern	2 x 1-hr lecture/tutorial weekly, 1 x 1-hr tutorial weekly
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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