MATPURE11 Pure mathematics
Faculty of Science
Pure mathematics (MATPURE11) is an extended major worth 72 credit points, listing 38 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
- 38
- Campus
- Clayton
- Offered in
- 3 courses
This is the 2025 handbook entry. See the 2026 entry.
Reviews
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Requisite map
Overview
Pure mathematics deals with the abstract, the rigour and the beauty of perfection. Although pure mathematics is motivated by reasons other than applications, it often becomes the basis for applied mathematics to solve the most concrete problems: the theory of prime numbers is fundamental to the security systems in electronic banking; notions of the curvature of space and time are applied in designing global positioning systems; imaginary numbers are used in everything from signal processing to the analysis of fluid flow. The examples are endless.
The School of Mathematics offers a comprehensive program of mathematics units at all undergraduate levels. It encompasses a wide range of areas of modern mathematics, from very applicable mathematical methods to statistics to pure mathematics. In addition to the major and extended major in pure mathematics, a broader major and extended major is offered in mathematics, along with specialised programs in applied mathematics, mathematical statistics, and financial and insurance mathematics. There are many cross links between pure and applied mathematics and statistics, and this is reflected in the mix of units you can choose from to complete a major or extended major. Our curriculum is continuously updated to ensure that you are exposed to the latest developments in mathematics.
By studying pure mathematics 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 critically on the level of analytical skills of their workforce and therefore seek employees with a sound mathematical training. Pure mathematics graduates work in a wide variety of fields such as teaching; the finance, computing and insurance industries; medical and scientific research; the public service, and journalism.
Availability
Pure mathematics 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 and extended major.
Structure
Level 1 science sequence12 credit points
Your sequence choice will depend on your mathematics background and interests. Refer to individual units for prerequisites.
Note: MTH1030 and MTH2010 may be replaced by their corresponding advanced version: MTH1035 and MTH2015.
Level 1 mathematics units
12 credit pointsAdditional sequence unit
6 credit pointsDouble degree with engineering option
12 credit pointsAdditional sequence unit
6 credit pointsCalculus unit6 credit points
Note: If MTH2010 or MTH2015 was completed as part of the Level 1 science sequence, replace it with an elective unit from the list below.
- MTH2010Multivariable calculusNo reviews yet6 cp
- MTH2015Multivariable calculus (advanced)No reviews yet6 cp
Double degree with engineering option (except software engineering)
6 credit pointsAlgebra unit6 credit points
Additional mathematics units12 credit points
Algebra and number theory
6 credit pointsReal analysis
6 credit pointsPure mathematics elective units36 credit points
Overall, you must complete 36 credit points at Level 3 to complete the extended major.
Note 1: You can only complete one of MTH2137 or MTH3137; MTH2222 or MTH2225; MTH3020 or MTH3025; MTH3110 or MTH3115; MTH3170 or MTH3175.
Note 2: MTH2040 is only available to engineering students (except software engineering).
Note 3: You require the unit coordinator's permission to enrol in MTH3000.
- FIT2014Theory of computationRated 4.0 out of 5 from 1 review6 cp
- MTH2032Differential equations with modellingNo reviews yet6 cp
- MTH2040Mathematical modellingNo reviews yet6 cp
- MTH2132The nature and beauty of mathematicsNo reviews yet6 cp
- MTH2137Number theory and cryptographyNo reviews yet6 cp
- MTH3137Number theory and cryptography (Advanced)No reviews yet6 cp
- MTH2222Mathematics of uncertaintyNo reviews yet6 cp
- MTH2225Mathematics of uncertainty (Advanced)No reviews yet6 cp
- MTH3000Mathematics research project level 3No reviews yet6 cp
- MTH3020Complex analysis and integral transformsNo reviews yet6 cp
- MTH3025Complex analysis and integral transform (Advanced)No reviews yet6 cp
- MTH3110Differential geometryNo reviews yet6 cp
- MTH3115Differential geometry (Advanced)No 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
- MTH3011Partial differential equationsNo 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
- MTH3320Computational linear algebraNo reviews yet6 cp
- MTH3330Optimisation and operations researchNo reviews yet6 cp
- MTH3340Numerical methods for partial differential equationsNo 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 the core areas of pure mathematics, in particular advanced analysis, algebra and geometry
- 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 areas of pure mathematics
- 3
Demonstrate skills in the written presentation of a precise mathematical argument that enable mathematical concepts, processes and results to be communicated effectively to diverse audiences
Contacts
- Academic Coordinators
- Professor Burkard Polster
Common questions
Which courses offer Pure mathematics?
3 courses in 2025: Bachelor of Science, Bachelor of Science Advanced - Global Challenges (Honours) and Bachelor of Science Advanced - Research (Honours).