University of Technology, Sydney

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33130 Mathematical Modelling 1

6cp
Recommended studies: 3-unit Mathematics

On completion of this subject, students should be able to understand the relevance of mathematics to engineering science and practice; understand the way in which mathematics can supply useful tools and resources to model real world problems; use mathematical terminology and concepts; use formal and informal language to demonstrate understanding of these concepts; demonstrate a high level of skill in the computational techniques of the subject; demonstrate understanding of the theoretical results which justify the use of these techniques; communicate the above knowledge clearly, logically and critically; use the computer algebra system Mathematica to perform calculations and explore mathematical ideas relevant to the subject content; be able to apply the subject matter covered in lectures, tutorials and assignments to previously unseen problems; and be aware of the historical context of mathematical development. Topics include: presentation of a collection of physical problems; functions and their relationship to measurement and the interpretation of physical results; differentiability; differential equations arising from physical problems; solution by series; growth and decay problems; oscillatory motion; trigonometric functions and inverse trigonometric functions; integration; the logarithm function; inverse functions; methods of integration; and introduction to nonlinear oscillations. The computer algebra system Mathematica is used throughout the subject as an aid to computation, graph plotting and visualisation.

Typical availability

Autumn semester, City campus
Spring semester, City campus

Fee information

2009 contribution for post-2008 Commonwealth-supported students: $520.25
Note: Students who commenced prior to 1 January 2008 should consult the Student contribution charges for Commonwealth supported students
Not all students are eligible for Commonwealth Supported places.

2009 amount for undergraduate domestic fee-paying students: $2,587.50

Note: Fees for Postgraduate domestic fee-paying students and international students are charged according to the course they are enrolled in. Students should refer to the Annual Fees Schedule.

Subject EFTSL: 0.125

Access conditions

Note: The requisite information presented in this subject description covers only academic requisites. Full details of all enforced rules, covering both academic and admission requisites, are available at Access conditions and My Student Admin.