units

MTH2222

Faculty of Science

18 September 2017 22 November 2024

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This unit entry is for students who completed this unit in 2016 only. For students planning to study the unit, please refer to the unit indexes in the the current edition of the Handbook. If you have any queries contact the managing faculty for your course or area of study.

Monash University

6 points, SCA Band 2, 0.125 EFTSL

Undergraduate - Unit

Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.

Faculty

Science

Organisational Unit

School of Mathematical Sciences

Coordinator(s)

Associate Professor Kais Hamza

Offered

Clayton

  • Second semester 2016 (Day)

Synopsis

Introduction to probability - a mathematical treatment. Topics include: probability axioms, conditional probabilities and the law of total probability, discrete and continuous random variables, univariate and multivariate distributions, independence and conditioning, conditional distributions and conditional expectations, moment generating functions, simulation, the law of large numbers and the central limit theorem.

Outcomes

On completion of this unit students will be able to:

  1. Understand the basic concepts of probability including conditioning and independence, univariate and multivariate probability distributions, expectations, generating functions and limit theorems;

  1. Appreciate the relevance of probability models to a variety of areas including Science, Engineering, Actuarial Science and Finance;

  1. Derive means, variances, moments and distributions in a variety of univariate and multivariate contexts;

  1. Use conditioning and moment generating functions to solve a variety of problems involving two or more events or random variables;

  1. Understand the way random numbers are generated;

  1. Formulate in probablistic terms real-life situations involving uncertainty.

Assessment

Examination(3 hours): 70%
Continuous assessment: 30%

Workload requirements

Three 1-hour lectures and one 2-hour support class per week

See also Unit timetable information

Chief examiner(s)

Associate Professor Kais Hamza

This unit applies to the following area(s) of study

Applied mathematics
Financial and insurance mathematics
Mathematical statistics
Mathematics
Pure mathematics

Prerequisites

MTH1030, MTH1035, or ENG1005, or equivalent

Co-requisites

At least one of MTH2010, MTH2015, MTH2021 or MTH2025