APPLMTH07 Applied mathematics
Faculty of Science
Applied mathematics (APPLMTH07) is an extended major worth 72 credit points, listing 42 units, taught at Clayton. It is offered in 8 courses, including Bachelor of Science and Bachelor of Science Advanced - Global Challenges (Honours).
- Credit points
- 72
- Units
- 42
- Campus
- Clayton
- Offered in
- 8 courses
This is the 2022 handbook entry. See the 2026 entry.
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Requisite map
Overview
Applied mathematics is concerned with using mathematical techniques and models to obtain practical solutions to concrete problems. This may help explain observations, or predict what may happen in the future. Applications of mathematics span most branches of modern science, engineering, information technology and commerce. In particular, biology and medicine are important emerging areas where a mathematical approach can reveal new knowledge. Applied mathematicians do not just rely on existing mathematical theories and techniques - often they need to develop new theories or adapt existing approaches to the specific application. They try to view problems in an abstract form, so they can identify links with other applications and build upon the existing knowledge. They also use computational techniques to understand the solution better and reveal its properties. A key feature of applied mathematics is its emphasis on the mathematical techniques and approaches used, and what they are able to reveal about each application, rather than a detailed understanding of the application area itself.
The School of Mathematical Sciences offers a comprehensive program of mathematics 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 across a variety of fields. In addition to the major and extended major in applied mathematics, a broader major and extended major is offered in mathematics, along with specialised programs in mathematical statistics, pure mathematics and financial and insurance mathematics. There are cross links between applied and pure mathematics and statistics, 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.
Applied mathematics is used to solve problems from many branches of science, engineering, information technology and commerce. For example, it can help understand how cells divide, generate new financial tools, or predict weather. By studying applied mathematics at university, you will also develop general skills in problem-solving, critical thinking, modelling, scholarship, analysis, research and creativity, which can be used wherever your career may take you. Mathematics and statistics are also the two cornerstones for decision making and quantitative activities in commerce, industry, education and defence. Successful companies and organisations know their competitive edge depends on the analytical and quantitative skills of their workforce, and therefore seek employees with a sound mathematical training. Applied mathematics graduates work in a variety of fields, such as the finance, computing and insurance industries, medical and scientific research, the public service, journalism and teaching.
Availability
Applied 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
Mathematic requirement
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 sequence12 credit points
Applied mathematics
12 credit pointsCore
6 credit pointsAdditional core unit
6 credit pointsDouble degree with engineering option
12 credit pointsCore unit
6 credit pointsAdditional core unit
6 credit pointsCore unit6 credit points
Applied mathematics
6 credit pointsDouble degree with engineering option
6 credit pointsAdditional mathematics units18 credit points
Applied mathematics
18 credit pointsCalculus
6 credit pointsLinear algebra
6 credit pointsComputational mathematics
6 credit pointsDouble degree with engineering option
12 credit pointsCalculus
6 credit pointsComputational mathematics
6 credit pointsApplied mathematics elective units30 credit points
- MTH3000Mathematics research project level 3No reviews yet6 cp
- MTH3011Partial differential equationsNo reviews yet6 cp
- MTH3020Complex analysis and integral transformsNo reviews yet6 cp
- MTH3060Advanced ordinary differential equationsNo reviews yet6 cp
- MTH3310Applied mathematical modellingNo reviews yet6 cp
- MTH3320Computational linear algebraNo reviews yet6 cp
- MTH3330Optimisation and operations researchNo reviews yet6 cp
- MTH3360Fluid dynamicsNo reviews yet6 cp
Additional extended major elective unit6 credit points
- 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
- MTH2140Real analysisNo reviews yet6 cp
- MTH3140Real analysisNo reviews yet6 cp
- MTH2141Algebra 1: Group theoryNo reviews yet6 cp
- MTH3141Algebra 1: Group theoryNo reviews yet6 cp
- MTH2222Mathematics of uncertaintyNo reviews yet6 cp
- MTH2225Mathematics of uncertainty (Advanced)No reviews yet6 cp
- MTH2232Mathematical statisticsNo 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
- 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
- MTH3340Numerical methods for partial differential equationsNo reviews yet6 cp
Courses that offer it
- S2000Extended majorBachelor of ScienceNo reviews yet
- S3001Extended majorBachelor of Science Advanced - Global Challenges (Honours)No reviews yet
- S3002Extended majorBachelor of Science Advanced - Research (Honours)No reviews yet
- S2006Extended majorBachelor of Science and Bachelor of ArtsNo reviews yet
- S2007Extended majorBachelor of Science and Bachelor of Biomedical ScienceNo reviews yet
- S2004Extended majorBachelor of Science and Bachelor of Computer ScienceNo reviews yet
- S2003Extended majorBachelor of Science and Bachelor of Global StudiesNo reviews yet
- S2005Extended majorBachelor of Science and Bachelor of MusicNo reviews yet
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
- 1
Display basic knowledge and key technical skills in advanced calculus, linear algebra, differential equations and computational methods as well as high-level knowledge of and skills in the important techniques, terminology and processes of applied mathematics
- 2
Develop, apply, integrate and generate knowledge through abstraction and insight, and use high-level critical thinking skills to model, analyse, use and interpret the mathematics that arises across a range of applications in science, medicine, economics or engineering
- 3
Demonstrate skills in the written presentation of a mathematical argument that enable mathematical models, concepts, processes and results to be communicated effectively to diverse audiences
Contacts
- Academic Coordinators
- Dr Simon Clarke
Common questions
Which courses offer Applied mathematics?
8 courses in 2022: Bachelor of Science; Bachelor of Science Advanced - Global Challenges (Honours); Bachelor of Science Advanced - Research (Honours); Bachelor of Science and Bachelor of Arts; Bachelor of Science and Bachelor of Biomedical Science; Bachelor of Science and Bachelor of Computer Science; Bachelor of Science and Bachelor of Global Studies; and Bachelor of Science and Bachelor of Music.