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Programme & Unit Catalogues

## MA50176: Case studies in mathematical modelling and industrial mathematics

Owning Department/School: Department of Mathematical Sciences
Credits: 6      [equivalent to 12 CATS credits]
Notional Study Hours: 120
Level: Masters UG & PG (FHEQ level 7)
Period:
Semester 2
Assessment Summary: CW 100%
Assessment Detail:
• Coursework 1 (CW 50%)
• Coursework 2 (CW 50%)
Supplementary Assessment:
Like-for-like reassessment (where allowed by programme regulations)
Requisites: Before taking this module you must take MA50174 AND take MA50190
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.

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

Content:
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.
Programme availability:

#### MA50176 is Compulsory on the following programmes:

Department of Mathematical Sciences

#### MA50176 is Optional on the following programmes:

Department of Mathematical Sciences

 Notes: This unit catalogue is applicable for the 2018/19 academic year only. Students continuing their studies into 2019/20 and beyond should not assume that this unit will be available in future years in the format displayed here for 2018/19. Programmes and units are subject to change 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. Undergraduates: Find out more about these and other important University terms and conditions here. Postgraduates: Find out more about these and other important University terms and conditions here.