| Area: |
Department of Mathematics and Statistics |
| Credits: |
25.0 |
| Contact Hours: |
3.0 |
| |
| ** The tuition pattern below provides details of the types of classes and their duration. This is to be used as a guide only. For more precise information please check your unit outline. ** |
| |
| Lecture: |
3 x 1 Hours Weekly |
| |
| Syllabus: |
Measure and measurable functions, Integration, Lebesgue measure and integration on the real line, Monotone convergence theorem, Fatou's lemma, Dominated convergence theorem, spaces and properties. Decomposition of measures, Radon-Nikodym theorem, Riesz Representation theorem, Product measures, Fubini Theorem. Application to probability theory - conditional expectation, Martingales, Limit theorems. |
| |
| ** To ensure that the most up-to-date information about unit references, texts and outcomes appears, they will be provided in your unit outline prior to commencement. ** |
| |
| Field of Education: | 10101 Mathematics |
| Funding Cluster: | 04 - Mathematics, Statistics |
| SOLT (Online) Definitions*: | Not Online
*Extent to which this unit or thesis utilises online information |
| Result Type: | Grade/Mark |
Availability |
| Year |
Location |
Period |
Internal |
Partially Online Internal |
Area External |
Central External |
Fully Online |
| 2005 |
Bentley Campus |
Semester 1 |
Y |
|
|
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|
Area
External |
refers to external course/units run by the School or Department or offered by research. |
Central
External | refers to external and online course/units run through the Curtin Bentley-based Distance Education Area |
Partially
Online
Internal | refers to some (a portion of) learning provided by interacting with or downloading pre-packaged material from the Internet but with regular and ongoing participation with a face-to-face component retained. Excludes partially online internal course/units run through the Curtin Bentley-based Distance Education Area which remain Central External |
Fully
Online | refers to the main (larger portion of) mode of learning provided via Internet interaction (including the downloading of pre-packaged material on the Internet). Excludes online course/units run through the Curtin Bentley-based Distance Education Area which remain Central External |
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