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MA50190: Methods for differential equations

Follow this link for further information on academic years Academic Year: 2014/5
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 1
Further information on unit assessment Assessment Summary: EX 100%
Further information on unit assessment Assessment Detail:
  • Examination (EX 100%)
Further information on supplementary assessment Supplementary Assessment: MA50190 Mandatory extra work (where allowed by programme regulations)
Further information on requisites Requisites:
Further information on descriptions Description: Aims:
To study advanced mathematical methods and techniques relevant to solving problems which arise in applications modelled by differential equations and integral formulations. To provide a firm basis of useful techniques for many subsequent courses in applied mathematics.

Learning Outcomes:
Students should learn a set of mathematical techniques in a variety of areas and be able to apply them to either solve a problem or to construct an accurate approximation to the solution. They should demonstrate an understanding of both the theory and the range of applications (including the limitations) of all the techniques studied.

Problem solving techniques for models involving Differential and Integral Equations arising in applications (T, A); approximation techniques (T, A).

Classification of PDEs; Fourier transform, distributions and Greens' functions. Introduction to the Calculus of Variations. Conservation laws and wave equations. Asymptotic analysis, scaling arguments and self-similarity.
Further information on programme availabilityProgramme availability:

MA50190 is Compulsory on the following programmes:

Department of Mathematical Sciences

MA50190 is Optional on the following programmes:

Department of Mathematical Sciences
* This unit catalogue is applicable for the 2014/15 academic year only. Students continuing their studies into 2015/16 and beyond should not assume that this unit will be available in future years in the format displayed here for 2014/15.
* 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.