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MA50176: Case studies in mathematical modelling and industrial mathematics

Follow this link for further information on academic years Academic Year: 2015/6
Further information on owning departmentsOwning Department/School: Department of Mathematical Sciences
Further information on credits Credits: 6
Further information on unit levels Level: Masters UG & PG (FHEQ level 7)
Further information on teaching periods Period: Semester 2
Further information on unit assessment Assessment Summary: CW 100%
Further information on unit assessment Assessment Detail:
  • Coursework (CW 100%)
Further information on supplementary assessment Supplementary Assessment: MA50176 Mandatory extra work (where allowed by programme regulations)
Further information on requisites Requisites: Before taking this module you must take MA50174 AND take MA50190
Further information on descriptions Description: Aims:
Students will learn about the nature of the modelling process, starting with a physical problem, representing it mathematically, simplifying and solving the resulting model and interpreting their results.

Learning Outcomes:
Students should become familiar with real problems arising in industry. They should become able to apply modelling and computational methods to solve these problems. They should learn (informally) how to work in teams and to communicate their results.

Model formulation and problem solving techniques involving Differential and Integral Equations arising in applications (T, A); approximation techniques (T, A).

Applications of the theory and techniques learnt in the prerequisites to solve real problems drawn from industrial collaborators and/or from the industrially related research work of the key staff involved. Instruction and practical experience of a set of problem solving methods and techniques, such as methods for simplifying a problem, non-dimensionalisation, scalings, perturbation methods, asymptotic methods, construction of similarity solutions and use of numerical solutions. Introduction to the perspectives and techniques of mathematical modelling, comparison of mathematical models with experimental data, as well as development and refinement of mathematical models. Case studies will be taken from haemodialysis, soap films, silicon oxidation, contact lenses, Stefan problems, micro-wave cooking, moulding glass, contamination in pipe networks, electrostatic filtering, DC-DC conversion, tests for elasticity.
Students may work informally in teams, but write individual reports on the case studies making appropriate use of typesetting software, computer methods and graphics.
Further information on programme availabilityProgramme availability:

MA50176 is Compulsory on the following programmes:

Department of Mathematical Sciences

MA50176 is Optional on the following programmes:

Department of Mathematical Sciences
* This unit catalogue is applicable for the 2015/16 academic year only. Students continuing their studies into 2016/17 and beyond should not assume that this unit will be available in future years in the format displayed here for 2015/16.
* Programmes and units are subject to change at any time, in accordance with normal University procedures.
* Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.