Extended majorUndergraduate

MTHSTAT07 Mathematical statistics

Faculty of Science

Mathematical statistics (MTHSTAT07) is an extended major worth 72 credit points, listing 40 units, taught at Clayton. It is offered in 3 courses, including Bachelor of Science and Bachelor of Science Advanced - Global Challenges (Honours).

Credit points
72
Units
40
Campus
Clayton
Offered in
3 courses

This is the 2024 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 Mathematics 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

Level 1 science sequence12 credit points

Level 1 mathematics units

12 credit points
You must complete the following unit and one of 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 units

6 credit points

Double degree with engineering options

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 additional sequence units.

Additional sequence units

6 credit points
Level 2 and 3 units42 credit points
You must complete the following units.

Note: You can only complete one of MTH2222 and MTH2225.

Additional level 2 unit

6 credit points
You must complete one of the following units.

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.
Elective units18 credit points
You must complete 18 credit points from the following elective units.

Overall, you must complete 36 credit points at Level 3 to complete the extended major.

Note: MTH2040 is only available to engineering students; except software engineering. You require the permission of the unit coordinator to enrol in MTH3000.

Mathematical statistics elective units

18 credit points
Note: You can only complete one of ETC3400 and ETC3420, MTH2021 and MTH2025, MTH2137 and MTH3137, MTH2140 and MTH3140, MTH2141 and MTH3141, MTH3170 and MTH3175.

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) 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

What units are in Mathematical statistics?

It lists 40 units, including ENG1005, ENG2005, ETC3400, ETC3420, MTH1030, MTH2010, MTH2015 and MTH2021. The structure above shows which are required and which you choose.

Extended major details

Type
Extended major
Study level
Undergraduate
Credit points
72
Faculty
Faculty of Science
Organisational unit
School of Mathematics
Handbook years
2020202120222023202420252026