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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.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

 
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