PURE MTH 3009 - Integration and Analysis III
Career: | Undergraduate |
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Units: | 3 |
Term: | 3820 |
Campus: | North Terrace |
Contact: | Up to 3 hours per week |
Available for Study Abroad and Exchange: | Yes |
Available for Non-Award Study: | Yes |
Pre-Requisite: | MATHS 2100 |
Assessment: | Ongoing assessment, exam |
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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Study Abroad student tuition fees available here
Only some Postgraduate Coursework programs are available as Commonwealth Supported. Please check your program for specific fee information
Commonwealth Supported Student Contribution | |||||||
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Units | EFTSL | Pre-2010 | 2010 Onwards | Domestic | International | ||
3 | 0.125 | Band 2 | $1,169 | Band 2 | $1,169 | select program | select program |
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Course Outline
A Course Outline which includes Learning Outcomes, Learning Resources, Learning & Teaching for this course may be accessed here
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Critical Dates
Term | Last Day to Add Online | Census Date | Last Day to WNF | Last Day to WF |
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3820 | Mon 06/08/2018 | Fri 31/08/2018 | Fri 14/09/2018 | Fri 26/10/2018 |
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Class Details
Enrolment Class: Lecture | |||||||
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Class Nbr | Section | Size | Available | Dates | Days | Time | Location |
20867 | LE01 | 25 | 11 | 23 Jul - 10 Sep | Monday | 11am - 12pm | Benham, G25, Peter Martin Room |
24 Jul - 11 Sep | Tuesday | 12pm - 1pm | Engineering Nth, N132, Teaching Room | ||||
25 Jul - 12 Sep | Wednesday | 10am - 11am | Engineering & Mathematics, EMG07, Teaching Room | ||||
1 Oct - 22 Oct | Monday | 11am - 12pm | Benham, G25, Peter Martin Room | ||||
2 Oct - 23 Oct | Tuesday | 12pm - 1pm | Engineering Nth, N132, Teaching Room | ||||
3 Oct - 24 Oct | Wednesday | 10am - 11am | Engineering & Mathematics, EMG07, Teaching Room |
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