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 and Fubini Theorem. Application to probability theory - conditional expectation, Martingales and 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: | 010101 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 |
|
Availability Information has not been provided by the respective School or Area. Prospective students should contact the School or Area listed above for further information. |