Academic Year:  2017/8 
Owning Department/School:  Department of Mathematical Sciences 
Credits:  6 [equivalent to 12 CATS credits] 
Notional Study Hours:  120 
Level:  Honours (FHEQ level 6) 
Period: 
 Semester 2

Assessment Summary:  CW 25%, EX 75% 
Assessment Detail: 
 Coursework (CW 13%)
 Class Test (CW 12%)
 Examination (EX 75%)

Supplementary Assessment: 
 Likeforlike reassessment (where allowed by programme regulations)
 Likeforlike reassessment (where allowed by programme regulations)

Requisites: 
Before taking this module you must take MA20222 AND take MA20223

Description:
 Aims: To teach the finite element method for the numerical solution of elliptic PDEs based on variational principles.
Learning Outcomes: At the end of the course, students should be able to derive and implement the finite element method for a range of elliptic PDEs in one and several space dimensions. They should also be able to derive and use elementary error estimates for these methods.
Skills: Understanding of the finite element method (T, A), Computer programming with the finite element method (T, A).
Content:
* Introduction.
* Variational and weak form of elliptic PDEs. Natural, essential and mixed boundary conditions. Linear and quadratic finite element approximation in one and several space dimensions. An introduction to convergence theory.
* System assembly and solution, isoparametric mapping, quadrature, adaptivity.
* Applications to PDEs arising in applications.

Programme availability: 
MA30170 is Optional on the following programmes:
Department of Mathematical Sciences
 TSMAAFM08 : MSc Modern Applications of Mathematics
 TSMAAWM14 : MSc Modern Applications of Mathematics
 USMAAFB15 : BSc(Hons) Mathematical Sciences (Year 3)
 USMAAAB16 : BSc(Hons) Mathematical Sciences with Study year abroad (Year 4)
 USMAAKB16 : BSc(Hons) Mathematical Sciences with Year long work placement (Year 4)
 USMAAFB13 : BSc(Hons) Mathematics (Year 3)
 USMAAAB14 : BSc(Hons) Mathematics with Study year abroad (Year 4)
 USMAAKB14 : BSc(Hons) Mathematics with Year long work placement (Year 4)
 USMAAFM14 : MMath(Hons) Mathematics (Year 3)
 USMAAFM14 : MMath(Hons) Mathematics (Year 4)
 USMAAAM15 : MMath(Hons) Mathematics with Study year abroad (Year 4)
 USMAAKM15 : MMath(Hons) Mathematics with Year long work placement (Year 4)
 USMAAKM15 : MMath(Hons) Mathematics with Year long work placement (Year 5)
 USMAAFB01 : BSc(Hons) Mathematics and Statistics (Year 3)
 USMAAAB02 : BSc(Hons) Mathematics and Statistics with Study year abroad (Year 4)
 USMAAKB02 : BSc(Hons) Mathematics and Statistics with Year long work placement (Year 4)
 USMAAFB05 : BSc(Hons) Statistics (Year 3)
 USMAAAB06 : BSc(Hons) Statistics with Study year abroad (Year 4)
 USMAAKB06 : BSc(Hons) Statistics with Year long work placement (Year 4)
