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 2025 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 pointsNote: 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 pointsDouble degree with engineering options
12 credit pointsAdditional sequence units
6 credit pointsLevel 2 and 3 units42 credit points
Note: You can only complete one of MTH2222 and MTH2225.
- MTH2222Mathematics of uncertaintyNo reviews yet6 cp
- MTH2225Mathematics of uncertainty (Advanced)No reviews yet6 cp
- MTH2232Mathematical statisticsNo reviews yet6 cp
- MTH3230Time series and random processes in linear systemsNo reviews yet6 cp
- MTH3241Random processes in the sciences and engineeringNo reviews yet6 cp
- MTH3251Financial mathematicsNo reviews yet6 cp
- MTH3260Statistics of stochastic processesNo reviews yet6 cp
Additional level 2 unit
6 credit pointsIf you are in a double degree with engineering (except for the software engineering specialisation), 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
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- ETC3400Principles of econometricsNo reviews yet6 cp
- ETC3420Applied insurance methodsNo reviews yet6 cp
- MTH2021Linear algebra with applicationsNo reviews yet6 cp
- MTH2025Linear algebra (Advanced)No reviews yet6 cp
- MTH2032Differential equations with modellingNo reviews yet6 cp
- MTH2040Mathematical modellingNo reviews yet6 cp
- MTH2051Introduction to computational mathematicsNo reviews yet6 cp
- MTH2137Number theory and cryptographyNo reviews yet6 cp
- MTH3137Number theory and cryptography (Advanced)No reviews yet6 cp
- MTH2140Real analysisNo reviews yet6 cp
- MTH3140Real analysisNo reviews yet6 cp
- MTH2141Algebra 1: Group theoryNo reviews yet6 cp
- MTH3141Algebra 1: Group theoryNo reviews yet6 cp
- MTH3000Mathematics research project level 3No reviews yet6 cp
- MTH3011Partial differential equationsNo reviews yet6 cp
- MTH3060Advanced ordinary differential equationsNo reviews yet6 cp
- MTH3110Differential geometryNo reviews yet6 cp
- MTH3130Topology: The mathematics of shapeNo reviews yet6 cp
- MTH3150Algebra 2: Rings and fieldsNo reviews yet6 cp
- MTH3160Metric spaces, Banach spaces, Hilbert spacesNo reviews yet6 cp
- MTH3170Network mathematicsNo reviews yet6 cp
- MTH3175Network mathematics (Advanced)No reviews yet6 cp
- MTH3320Computational linear algebraNo reviews yet6 cp
- MTH3330Optimisation and operations researchNo reviews yet6 cp
- MTH3340Numerical methods for partial differential equationsNo reviews yet6 cp
- MTH3360Fluid dynamicsNo reviews yet6 cp
- MTH3020Complex analysis and integral transformsNo reviews yet6 cp
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
- 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
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
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
Which courses offer Mathematical statistics?
3 courses in 2025: Bachelor of Science, Bachelor of Science Advanced - Global Challenges (Honours) and Bachelor of Science Advanced - Research (Honours).