13001 (v.2) Measure and Probability 501

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.3) Analysis 202 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:

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

Year	Location	Period	Internal	Partially Online Internal	Area External	Central External	Fully Online
2006	Bentley Campus	Semester 1	Y

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