Extended majorUndergraduate

APPLMTH07 Applied mathematics

Faculty of Science

Applied mathematics (APPLMTH07) is an extended major worth 72 credit points, listing 39 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
39
Campus
Clayton
Offered in
3 courses

The 2027 handbook has no page for APPLMTH07. This is its 2026 entry, the latest one.

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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 Mathematics 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

Level 1 units12 credit points
You must complete 12 credit points from the following:

- Your sequence choice will depend on your mathematics background and interests; refer to individual units for prerequisites.
- For the purpose of sequence requirements, MTH1030 and MTH2010 may be replaced by their corresponding advanced version, MTH1035 and MTH2015.

Double degree with engineering option

12 credit points
You must complete 12 credit points from the following units:

In the Bachelor of Engineering (Honours) and Bachelor of Science (E3007), ENG1005 and ENG2005 may count toward the major but do not contribute to the 96 credit points of Science units required for the Bachelor of Science.

First unit

6 credit points
You must complete the following unit:

Second unit

6 credit points
You must complete one of the following units:
If you are in the Software Engineering specialisation, you complete MTH2010; otherwise, you complete ENG2005.
Level 2 units24 credit points

Core unit

6 credit points

Double degree with engineering option

6 credit points
You must complete the following unit unless you are enrolled in software engineering, in which case you must complete MTH2032.

Additional units

18 credit points
You must complete 18 credit points.

Option 1

18 credit points
You must complete 18 credit points from the following units:

- You complete only one of MTH2021 Linear algebra with applications or MTH2025 Linear algebra (advanced);
- MTH2051 requires one of the following as a prerequisite: SCI1022, FIT1045, FIT1053 or ENG1060. However, none of these units can be counted toward this major.

Double degree with engineering option

18 credit points
You must complete two of the following units and one unit from the list of level 3 units:

- You complete only one of MTH2021 Linear algebra with applications or MTH2025 Linear algebra (advanced);
- You complete only one of MTH2040 Mathematical modelling or MTH2051 Introduction to computational mathematics.
- MTH2051 requires one of the following as a prerequisite: SCI1022, FIT1045, FIT1053 or ENG1060. However, none of these units can be counted toward this major.
Level 3 units30 credit points
You must complete at least 30 credit points from the following units:

- If you are in a double degree, you must complete 36 credit points from the list below to achieve a total of 72 credit points required for the extended major.
- You require permission from the unit coordinator to enrol in MTH3000. Enrolment in a research project unit requires achievement in a minimum set of units.
- You complete only one of MTH3020 Complex analysis and integral transforms or MTH3025 Complex analysis and integral transform (Advanced).
Additional elective unit6 credit points
You must complete one of the following units, or a Level 3 unit from the above list not previously completed.

Overall, you must complete a total of 36 credit points at Level 3 to satisfy the requirements of the extended major.

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, 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. 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. 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 Janosch Rieger

Common questions

What units are in Applied mathematics?

It lists 39 units, including ENG1005, ENG2005, MTH1030, MTH2010, MTH2021, MTH2025, MTH2032 and MTH2040. 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