University Course Planner The University of Adelaide Australia

PURE MTH 3009 - Integration and Analysis III

Career: Undergraduate
Units: 3
Term: 3720
Campus: North Terrace
Contact: Up to 3 hours per week
Available for Non-Award Study: Yes
Pre-Requisite: MATHS 2100
Assessment: ongoing assessment 30%, exam 70%
Syllabus:

The Riemann integral works well for continuous functions on closed bounded intervals, but it has certain deficiencies that cause problems, for example, in Fourier analysis and in the theory of differential equations. To overcome such deficiencies, a "new and improved" version of the integral was developed around the beginning of the twentieth century, and it is this theory with which this course is concerned. The underlying basis of the theory, measure theory, has important applications not just in analysis but also in the modern theory of probability. Topics covered are: Set theory; Lebesgue outer measure; measurable sets; measurable functions. Integration of measurable functions over measurable sets. Convergence of sequences of functions and their integrals. General measure spaces and product measures. Fubini and Tonelli's theorems. Lp spaces. The Radon-Nikodym theorem. The Riesz representation theorem. Integration and differentiation.

Course Fees

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  Commonwealth Supported Student Contribution
Tuition Fees
Units EFTSL Pre-2010 2010 Onwards Domestic International
3 0.125 Band 2 Not Available Band 2 Not Available select program select program


Course Outline

A Course Outline which includes Learning Outcomes, Learning Resources, Learning & Teaching for this course may be accessed here


Critical Dates

Term Last Day to Add Online Census Date Last Day to WNF Last Day to WF
3720 Mon 07/08/2017 Thu 31/08/2017 Fri 15/09/2017 Fri 27/10/2017


Class Details

Enrolment Class: Lecture
Class Nbr Section Size Available Dates Days Time Location
20860 LE01 25 8 24 Jul - 11 Sep Monday 1pm - 2pm Barr Smith South, 3022, Polygon Lecture Theatre
26 Jul - 13 Sep Wednesday 1pm - 2pm Hughes, 309, Hughes Lecture Theatre
28 Jul - 15 Sep Friday 1pm - 2pm Barr Smith South, 3022, Polygon Lecture Theatre
2 Oct - 23 Oct Monday 1pm - 2pm Barr Smith South, 3022, Polygon Lecture Theatre
4 Oct - 25 Oct Wednesday 1pm - 2pm Hughes, 309, Hughes Lecture Theatre
6 Oct - 27 Oct Friday 1pm - 2pm Barr Smith South, 3022, Polygon Lecture Theatre