MajorUndergraduate

APPLMTH05 Applied mathematics

Faculty of Science

Applied mathematics (APPLMTH05) is a major worth 48 credit points, listing 21 units, taught at Clayton. It is offered in 10 courses, including Bachelor of Commerce and Bachelor of Science; and Bachelor of Information Technology and Bachelor of Science.

Credit points
48
Units
21
Campus
Clayton
Offered in
10 courses

This is the 2021 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

Mathematics requirement12 credit points
This major relies on the successful completion of MTH1030 and MTH2010. Note that these two units have the following special enrolment rules:

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 112 credit points
You must complete 12 credit points from the following units. 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.

Level 1 mathematics sequence

12 credit points

Double degree with engineering option

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

First unit

6 credit points
You must complete the following unit
Level 2 and 324 credit points

Level 2 and 3 units

24 credit points
You must complete 18 credit points from the following units. Note: If MTH2010 or MTH2015 was completed as part of the level 1 science sequence, replace it with a level 3 unit from the list of additional applied mathematics units below.

Calculus

6 credit points

Linear algebra

6 credit points

Computational mathematics

6 credit points

Modelling

6 credit points

Double degree with engineering option

18 credit points
You must complete 18 credit points from the following units plus an additional level 3 listed under 'Applied mathematics elective units' to make up the 48 credit points required for the major.

Calculus

6 credit points
You must complete the below unit. Note: If you are in the software engineering specialisation, you must complete MTH2010. If you completed MTH2010 as part of the level 1 science sequence, replace it with a level 3 unit from the additional applied mathematics units below.

Computational mathematics

6 credit points

Modelling

6 credit points
You must complete the following unit unless you are enrolled in software engineering, in which case you must complete MTH2032 from the applied mathematics option above. Note: If you completed MTH2040 as part of the level 1 sequence, replace it with a level 3 unit from the elective units below.
Applied mathematics elective units12 credit points
You must complete at least 12 credit points from the following units. If you are in a double degree with engineering, you must complete 18 credit points from the list below to achieve a total of 48 credit points required for the major. Overall, you must complete at least 18 credit points at level 3. Note 1: You require permission from the unit coordinator to enrol in MTH3000. Note 2: Progression to honours requires completion of 24 points of relevant level 3 units.

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), 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

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 Simon Clarke

Common questions

Major details

Type
Major
Study level
Undergraduate
Credit points
48
Faculty
Faculty of Science
Organisational unit
School of Mathematics
Handbook years
2020202120222023202420252026