MajorUndergraduate

MTHSTAT05 Mathematical statistics

Faculty of Science

Mathematical statistics (MTHSTAT05) is a major worth 48 credit points, listing 12 units, taught at Clayton. It is offered in 10 courses, including Bachelor of Commerce and Bachelor of Science; and Bachelor of Information Technology and Bachelor of Science.

Credit points
48
Units
12
Campus
Clayton
Offered in
10 courses

This is the 2021 handbook entry. See the 2026 entry.

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Requisite map

Overview

Statistics is the branch of mathematics that captures the interplay of data and theory. There are two important parts of statistics - the mathematical theory and the applications of this theory in the real world. Mathematical statistics is the branch of mathematics that deals with models involving a random, unpredictable component. Real world applications are many and varied, and allow the making of informed decisions in the face of uncertainty. Statistics turns numerical data into useful - even gripping - information about anything from the effect of a new cancer drug, to our economic performance, to changes in how we partner and reproduce. It allows us to make sound judgements based on evidence rather than gut feelings.

The School of Mathematical Sciences offers a comprehensive program of mathematics and statistics units at all undergraduate levels. It encompasses a wide range of areas of modern mathematics, from mathematical methods to statistics to pure mathematics, as well as demonstrating the applications of mathematics and statistics across a variety of fields. In addition to the minor, major and extended major in mathematical statistics, a broader major and extended major is offered in mathematics, along with specialised programs in applied mathematics, pure mathematics, and financial and insurance mathematics. There are cross-links between statistics and applied and pure mathematics and this is reflected in the mix of units that you can select to complete a major or extended major. Our curriculum is continuously updated to ensure that you are exposed to the latest developments in mathematics, and acquire skills relevant to the current needs of industry.

The use of statistics is constantly expanding and a sound knowledge of the discipline is important, even for those who do not complete a major in the area. By studying mathematical statistics at university, you will also develop general skills in problem-solving, critical thinking, modelling, scholarship, analysis and research, which can be used wherever their career may take them. Successful companies and organisations know their competitive edge depends on the analytical, quantitative and statistical skills of their workforce, and therefore seek employees with a sound mathematical training. When it comes to job opportunities, statistical skills are needed everywhere - from the sports arena and market research to finance, forensics, management consulting and medical research.

Availability
Mathematical statistics is listed in S2000 Bachelor of Science, S3001 Bachelor of Science Advanced - Global Challenges (Honours) and S3002 Bachelor of Science Advanced - Research (Honours) at Clayton as a major, extended major and minor.

Structure

Mathematics requirement12 credit points
This major relies on the successful completion of MTH1030 and MTH2010. Note that these two units have the following special enrolment rules:

MTH1030: You must have passed MTH1020 with a mark of at least 60 or VCE Specialist Mathematics units 3 and 4 with a raw study score of at least 30. Exceptions for students who passed MTH1020 with a mark in the range of 50 to 59 can be made with permission from the unit coordinator based on a diagnostic test.

MTH2010: Students must have passed MTH1030, MTH1035, or MTH1040 with a mark of at least 60. Exceptions for students who passed these units with a mark in the range of 50 to 59 can be made with permission from the unit co-coordinator based on a diagnostic test.
Level 1 science sequence12 credit points

Level 1 units

12 credit points
You must complete MTH1030 and 6 credit points from the additional sequence units. Note: For the purposes of sequence requirements, MTH1030 and MTH2010 may be replaced by their corresponding advanced version: MTH1035 and MTH2015.

Additional sequence unit

6 credit points

Double degree with engineering

12 credit points
If you are in the software engineering specialisation, you must complete ENG1005 and MTH2010. For all other specialisations, you must complete ENG1005 and one of the following additional sequence units.

Additional sequence unit

6 credit points
Level 2 units18 credit points
You must complete the following units

Additional level 2 unit

6 credit points
You must complete 6 credit points from the following. If you are in a double degree with engineering (except software engineering), you must complete ENG2005 instead of MTH2010. Note: If MTH2010 or MTH2015 was completed as part of the level 1 science sequence, replace it with either MTH2021, MTH2025, MTH2140 or MTH3140.
Level 3 units18 credit points

Courses that offer it

Notes

Requirements for progressing to honours and other further studies
You must meet the entry requirements for S3701 Bachelor of Science (Honours), M5021 Graduate Diploma of Health and Science Research or meet the progression requirements to the fourth year of S3002 Bachelor of Science Advanced - Research (Honours).

You must also complete prerequisite study as per the intended discipline. Refer to the honours prerequisites table.

Learning outcomes

In addition to achieving the broad outcomes of your course, and successfully completing this area of study, you will be able to:
  1. 1

    Display basic knowledge and key technical skills in advanced calculus and linear algebra as well as high-level knowledge of and skills in the important techniques, terminology and processes of probability, statistics and stochastic processes

  2. 2

    Develop, apply, integrate and generate knowledge through abstraction and insight, and use high-level critical thinking skills to analyse, use and interpret the mathematics that arises across a range of applications of mathematics and statistics in science, medicine, economics or engineering

  3. 3

    Demonstrate skills in the written presentation of a mathematical argument that enable statistical concepts, processes and results to be communicated effectively to diverse audiences

Contacts

Academic Coordinators
Associate Professor Jonathan Keith

Common questions

Major details

Type
Major
Study level
Undergraduate
Credit points
48
Faculty
Faculty of Science
Organisational unit
School of Mathematics
Handbook years
2020202120222023202420252026