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 |
Prerequisite(s): |
302298 (v.2) Mathematics 302 or any previous version
|
| |
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: |
10100 Mathematical Sciences (Narrow Grouping) |
HECS Band (if applicable): |
2 |
|
Extent to which this unit or thesis
utilises online information: |
Not Online |
Result Type: |
Grade/Mark |
|
Availability |
| Year |
Location |
Period |
Internal |
Area External |
Central External |
| 2004 |
Bentley Campus |
Semester 1 |
Y |
|
|
Area
External |
refers to external course/units run by the School or Department, offered online or through Web CT, or offered by research. |
Central
External | refers to external course/units run through the Curtin Bentley-based Distance Education Area |
|
