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Probability for Inference (MAST30020)

Undergraduate level 3Points: 12.5On Campus (Parkville)

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Overview

Year of offer2019
Subject levelUndergraduate Level 3
Subject codeMAST30020
Campus
Parkville
Availability
Semester 1
FeesSubject EFTSL, Level, Discipline & Census Date

This subject introduces a measured-theoretic approach to probability theory and presents its fundamentals concepts and results.

Topics covered include: probability spaces and random variables, expectation, conditional expectation and distributions, elements of multivariate distribution theory, modes of convergence in probabilty theory, characteristics functions and their application in key limit theorems.

Intended learning outcomes

On completion of this subject students should:

  • Have a systematic understanding of the fundamentals of modern probability theory;
  • Know and be able to work with the most important univariate and multivariate probability distributions;
  • Have a good knowledge of general conditional expectations, integral transforms and key ideas of different modes of convergence of random variables and distributions.

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.

Eligibility and requirements

Prerequisites

One of

Code Name Teaching period Credit Points
MAST20026 Real Analysis
Semester 1
Semester 2
12.5
MAST10009 Accelerated Mathematics 2
Semester 2
12.5

Plus either

Code Name Teaching period Credit Points
MAST20004 Probability
Semester 1
Semester 2
12.5

Or

Code Name Teaching period Credit Points
MAST20006 Probability for Statistics
Semester 1
12.5

(MAST20006 must have a result grade of H2B or above)

Corequisites

None

Non-allowed subjects

None

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

Assessment

Additional details

Ten written assignments due at weekly intervals during semester amounting to a total of up to 50 pages (30%), and a 3-hour written examination in the examination period (70%).

Dates & times

  • Semester 1
    Principal coordinatorKonstantin Borovkov
    Mode of deliveryOn Campus — Parkville
    Contact hours3 x one hour lectures per week, 1 x one hour practice class per week
    Total time commitment170 hours
    Teaching period 4 March 2019 to 2 June 2019
    Last self-enrol date15 March 2019
    Census date31 March 2019
    Last date to withdraw without fail10 May 2019
    Assessment period ends28 June 2019

    Semester 1 contact information

Time commitment details

Estimated total time commitment of 170 hours

Further information

  • Texts

    Prescribed texts

    None

    Recommended texts and other resources

    A.F. Karr, Probability, 1st Ed. Springer, New York, 1993.

  • Subject notes

    This subject is available for science credit to students enrolled in the BSc (both pre-2008 and new degrees), BASc or a combined BSc course.

    This subject was previously titled MAST30020 Probability and Statistical Inference

  • Breadth options

    This subject is available as breadth in the following courses:

  • 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.

    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

    This subject is available to students studying at the University from eligible overseas institutions on exchange and study abroad. Students are required to satisfy any listed requirements, such as pre- and co-requisites, for enrolment in the subject.

Last updated: 12 July 2019