Advanced Probability (MAST90081)
Graduate courseworkPoints: 12.5On Campus (Parkville)
Overview
Availability | Semester 2 |
---|---|
Fees | Look up fees |
This subject explores a range of key concepts in modern Probability Theory that are fundamental for Mathematical Statistics and are widely used in other applications. We study measurable space, product measure, Fubini's theorem, conditional expectation and conditional probability, construction of i.i.d. and beyond, discrete-time martingales.
Intended learning outcomes
On completion of this subject, students should be able to:
- Demonstrate mastery of the principles of probability theory and some of its important applications;
- Apply advanced techniques used in probability theory and contiguous areas;
- Analyse and construct mathematical arguments in the context of probability theory;
- Develop essential skills required to pursue further studies in the areas of mathematics dealing with modelling of random phenomena.
Generic skills
In addition to learning specific skills that will assist students in their future careers in science, they will have the opportunity to develop generic skills that will assist them in any future career path. These include:
- problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies;
- analytical skills: the ability to construct and express logical arguments and to work in abstract or general terms to increase the clarity and efficiency of analysis;
- collaborative skills: the ability to work in a team;
- time-management skills: the ability to meet regular deadlines while balancing competing commitments
Last updated: 4 March 2025
Eligibility and requirements
Prerequisites
Code | Name | Teaching period | Credit Points |
---|---|---|---|
MAST30020 | Probability for Inference | Semester 1 (On Campus - Parkville) |
12.5 |
Corequisites
None
Non-allowed subjects
None
Inherent requirements (core participation requirements)
The University of Melbourne is committed to providing students with reasonable adjustments to assessment and participation under the Disability Standards for Education (2005), and the Assessment and Results Policy (MPF1326). Students are expected to meet the core participation requirements for their course. These can be viewed under Entry and Participation Requirements for the course outlines in the Handbook.
Further details on how to seek academic adjustments can be found on the Student Equity and Disability Support website: http://services.unimelb.edu.au/student-equity/home
Last updated: 4 March 2025
Assessment
Description | Timing | Percentage |
---|---|---|
Two written assignments (worth 10% each, equivalent to 20 hours total) due mid and late semester
| During the teaching period | 20% |
Written examination
| 80% |
Additional details
This Dual-Delivery subject has On Campus assessment components.
Last updated: 4 March 2025
Dates & times
- Semester 2
Coordinator Xi Geng Mode of delivery On Campus (Parkville) Contact hours Contact Hours: 36 hours comprising 2 x one-hour lecture per week and 1 x one-hour practice class per week. Total time commitment 170 hours Teaching period 28 July 2025 to 26 October 2025 Last self-enrol date 8 August 2025 Census date 1 September 2025 Last date to withdraw without fail 26 September 2025 Assessment period ends 21 November 2025 Semester 2 contact information
What do these dates mean
Visit this webpage to find out about these key dates, including how they impact on:
- Your tuition fees, academic transcript and statements.
- And for Commonwealth Supported students, your:
- Student Learning Entitlement. This applies to all students enrolled in a Commonwealth Supported Place (CSP).
Subjects withdrawn after the census date (including up to the ‘last day to withdraw without fail’) count toward the Student Learning Entitlement.
Additional delivery details
This Dual-Delivery subject has On Campus assessment components.
Last updated: 4 March 2025
Further information
- Texts
- Related Handbook entries
This subject contributes to the following:
Type Name Course Ph.D.- Engineering Course Master of Data Science Course Master of Science (Mathematics and Statistics) Course Doctor of Philosophy - Engineering Course Master of Philosophy - Engineering Informal specialisation Mathematics and Statistics - Available through the Community Access Program
About the Community Access Program (CAP)
This subject is available through the Community Access Program (also called Single Subject Studies) which allows you to enrol in single subjects offered by the University of Melbourne, without the commitment required to complete a whole degree.
Please note Single Subject Studies via Community Access Program is not available to student visa holders or applicants
Entry requirements including prerequisites may apply. Please refer to the CAP applications page for further information.
- Available to Study Abroad and/or Study Exchange Students
Last updated: 4 March 2025