
Academic Year:  2012/3 
Owning Department/School:  Department of Mathematical Sciences 
Credits:  6 
Level:  Masters UG & PG (FHEQ level 7) 
Period: 
Semester 1 
Assessment:  EX 100% 
Supplementary Assessment:  MA50190 Mandatory extra work (where allowed by programme regulations) 
Requisites:  
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. Skills: Problem solving techniques for models involving Differential and Integral Equations arising in applications (T, A); approximation techniques (T, A). Content: 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 selfsimilarity. 
Programme availability: 
MA50190 is Compulsory on the following programmes:Department of Mathematical Sciences
MA50190 is Optional on the following programmes:Department of Mathematical Sciences
