applied-mathematics/index

aos

19 March 2017 24 March 2017

Undergraduate

Commencement year

This area of study entry applies to students commencing this course in 2017 and should be read in conjunction with the relevant course entry in the Handbook.

Any units listed for this area of study relate only to the 'Requirements' outlined in the Faculty of Science component of any bachelors double degrees.

Unit codes that are not linked to their entry in the Handbook are not available for study in the current year.

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School of Mathematical Sciences

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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 students can select to complete a major or extended major. Our curriculum is continuously updated to ensure that our students 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, students will also develop general skills in problem-solving, critical thinking, modelling, scholarship, analysis, research and creativity, which can be used wherever their career may take them. 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.

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 or extended major.

In addition to achieving the broad outcomes of their course, students successfully completing this major or extended major will be able to:

- 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
- 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
- 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.

No more than 12 points at level 1 and at least 18 points at level 3.

Students complete:

a. The requirements for a minor in mathematicsminor in mathematics (http://www.monash.edu.au/pubs/2017handbooks/aos/mathematics/) (24 points) that includes the following:

- MTH2032 Differential equations with modelling

Students in the double degree E3007 Bachelor of Engineering (Honours) and Bachelor of Science, the following:

- MTH2040 Mathematical modelling

b. The following unit (6 points):

Note 1: If MTH2021 or MTH2025 was completed as part of the minor, replace it with an additional unit from the list (c) below.

Note 2: MTH2025 is for students with a strong mathematics background. Students will need to seek permission to enrol in this unit at the Science Student ServicesScience Student Services (http://www.monash.edu/science/current/undergraduate/help) office.

c. Three units (18 points) from the following, including at least two from MTH3011, MTH3051, MTH3060 and MTH3310:

- MTH3000 Mathematics research project level 3
- MTH3011 Partial differential equations
- MTH3020 Complex analysis and integral transforms
- MTH3051 Introduction to computational mathematics
- MTH3060 Advanced ordinary differential equations
- MTH3310 Applied mathematical modelling
- MTH3320 Computational linear algebra
- MTH3360 Fluid dynamics

No more than 12 points at level 1, and at least 36 points at level 3.

Students complete:

a. The requirements for the major in applied mathematics (48 points)

b. Three additional level 3 units (18 points) from the list (c.) under the major above or MTH3251 (Financial mathematics), including at least one additional unit from MTH3011, MTH3020, MTH3051, MTH3060 and MTH3310.

c. One additional unit (6 points) from the list (c) under the major or from the following:

- MTH2121 Algebra and number theory or MTH3121 Algebra and number theory
- MTH2132 The nature and beauty of mathematics
- MTH2140 Real analysis or MTH3140 Real analysis
- MTH2222 Mathematics of uncertainty
- MTH2232 Mathematical statistics
- MTH3110 Differential geometry
- MTH3121 Algebra and number theory
- MTH3130 Topology: The mathematics of shape
- MTH3150 Algebra and number theory II
- MTH3160 Functional analysis
- MTH3170 Network mathematics
- MTH3230 Time series and random processes in linear systems
- MTH3241 Random processes in the sciences and engineering
- MTH3251 Financial mathematics
- MTH3260 Statistics of stochastic processes

Successful completion of 24 points of level 3 units listed above, of which normally at least 18 points are relevant to the honours project.

Refer to S3701 Bachelor of Science (Honours) for full details.

Successful completion of this area of study can be counted towards meeting the requirements for the following single degrees:*

- S2000 Bachelor of Science
- S3001 Bachelor of Science Advanced - Global Challenges (Honours)
- S3002 Bachelor of Science Advanced - Research (Honours)

Students in other single bachelor's degrees may be eligible to complete the major by using 48 points of their free electives.

Successful completion of this area of study can be counted towards meeting the requirements for the Bachelor of Science component in the following double degrees:*

- B2023 Bachelor of Commerce and Bachelor of Science
- B2016 Bachelor of Commerce Specialist and Bachelor of Science
- D3005 Bachelor of Education (Honours) and Bachelor of Science
- E3007 Bachelor of Engineering (Honours) and Bachelor of Science
- C2003 Bachelor of Information Technology and Bachelor of Science
- L3007 Bachelor of Laws (Honours) and Bachelor of Science
- S2006 Bachelor of Science and Bachelor of Arts
- S2007 Bachelor of Science and Bachelor of Biomedical Science
- S2004 Bachelor of Science and Bachelor of Computer Science
- S2003 Bachelor of Science and Bachelor of Global Studies
- S2005 Bachelor of Science and Bachelor of Music

* Students cannot complete a minor, major or extended major in the same area of study.