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Measure theory is the study of such fundamental ideas as length, area, volume, arc length and surface area. It is the basis for the integration theory used in advanced mathematics since it was developed by Henri Lebesgue in about 1900. Moreover, it is the basis for modern probability theory. The course starts by setting up measure theory and integration, establishing important results such as Fubini's Theorem and the Dominated Convergence Theorem which allow us to manipulate integrals. This is then applied to Fourier Analysis, and results such as the Inversion Formula and Plancherel's Theorem are derived. The Radon-Nikodyn Theorem provides a representation of measures in terms of a density. Probability theory is then discussed with topics including distributions and conditional expectation.
Study level | Undergraduate |
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Academic unit | Mathematics and Statistics Academic Operations |
Credit points | 6 |
Prerequisites:
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A mark of 65 or greater in 12 credit points of MATH2XXX units of study |
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Corequisites:
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None |
Prohibitions:
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MATH4069 |
Assumed knowledge:
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Real analysis and vector spaces. For example MATH2X21 and MATH2X23 |
At the completion of this unit, you should be able to:
This section lists the session, attendance modes and locations the unit is available in. There is a unit outline for each of the unit availabilities, which gives you information about the unit including assessment details and a schedule of weekly activities.
The outline is published 2 weeks before the first day of teaching. You can look at previous outlines for a guide to the details of a unit.
Session | MoA ? | Location | Outline ? |
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Semester 2 2024
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Normal day | Camperdown/Darlington, Sydney |
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Session | MoA ? | Location | Outline ? |
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Semester 2 2025
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Normal day | Camperdown/Darlington, Sydney |
Outline unavailable
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Session | MoA ? | Location | Outline ? |
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Semester 2 2020
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Normal day | Camperdown/Darlington, Sydney |
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Semester 2 2021
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Normal day | Camperdown/Darlington, Sydney |
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Semester 2 2021
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Normal day | Remote |
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Semester 2 2022
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Normal day | Camperdown/Darlington, Sydney |
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Semester 2 2022
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Normal day | Remote |
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Semester 2 2023
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Normal day | Camperdown/Darlington, Sydney |
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Find your current year census dates
This refers to the Mode of attendance (MoA) for the unit as it appears when you’re selecting your units in Sydney Student. Find more information about modes of attendance on our website.