302300 (v.2) Applied Mathematical Modelling 302
| Area: | Department of Mathematics and Statistics |
| Credits: | 25.0 |
| Contact Hours: | 4.0 |
| Lecture: | 3 x 1 Hours Weekly |
| Tutorial: | 1 x 1 Hours Weekly |
| Prerequisite(s): | 8127 (v.5) Mathematics 201 or any previous version
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| Syllabus: | Newton's laws and their applications. Suffix notation and tensor operations, heat transfer, stress equation of motion, rate of strain tensors, and constitutive equations, laminar and turbulent flows. Introduction to fluid dynamics and their applications. Solutions of partial differential equation models in biology, engineering and science. The mathematical models that will be investigated will include applications in tumour growth, red blood cells replication, water filtration and traffic flow. |
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| Unit Outcomes: | On successful completion of this unit, students will have gained the ability to be able to use Newton's law to solve some problems in mechanics, solve simple fluid flow problems with prescribed boundary conditions, solve some problems characterized by diffusion processes, understand the reason for non-dimensionalization in some problems with terms of differing importance and understand some of the arguments used to build differential equation models in mathematical biology and traffic flow problems. |
| Text and references listed above are for your information only and current as of September 30, 2003. Please check with the unit coordinator for up-to-date information. |
| Unit References: | Chorlton, F., 1976, 'Vector and Tensor Methods', Ellis Horwood, Chinchester. Hunter, S.C., 1983, 'Mechanics of continuous media', Prentice Hall, USA. Fung, Y.C., 1969, 'A first course in continuum mechanic', Prentice Hall, Englewood Cliffs. Lunn, M., 1991, 'A first course in mechanics', Oxford Scientific Publication, Oxford. Fowkes, N. D. and Mahony, J. J., 1994, 'An Introduction to Mathematical Modelling', John Wiley and Sons, New York. Fowler, A. C., 1997, 'Mathematical Models in the Applied Sciences', Cambridge University Press, Cambridge. Edelstein-Keshet, L., 1988, 'Mathematical Models in Biology', Random House, New York. Jones, D. S. and Sleeman, B. D., 1983, 'Differential Equations and Mathematical Biology', George Allen and Unwin, London. |
| Unit Texts: | No prescribed text. |
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| Unit Assessment Breakdown: | Part A Assignment 10%. Mid-Semester Test 40%. Part B Assignment 10%. Final Examination 40%. |
| Year | Location | Period | Internal | Area External | Central External | | 2004 | Bentley Campus | Semester 2 | Y | | | |
Current as of: February 2, 2004
CRICOS provider code 00301J
