Module Details
The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module.
Title Field Theory, Partial Differential Equations & Methods of Solution
Code MATH282
Coordinator Dr PEL Rakow
Mathematical Sciences
Rakow@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2016-17 Level 5 FHEQ First Semester 7.5

Aims

• To introduce students to the concepts of scalar and vector fields.
• To develop techniques for evaluating line, surface and volume integrals.
• To introduce students to some of the basic methods for solving partial  differential equations


Learning Outcomes
  • Evaluate Grad, Div, Curl and Laplacian operators in Cartesian and polar coordinates
  • Evaluate line, double and volume integrals
  • Have a good understanding of the physical meaning of flux and circulation 
  • Be able to solve boundary value problems for partial differential equations  

Syllabus
1 

Review of vector calculus: Grad, Div, Curl, Gauss’ theorem, Stokes’ theorem.  Maxwell’s equations: in the language of vector calculus, as well as ODEs and PDEs. Advanced applications including derivation of physical laws. Laplace and Fourier transforms to solve ODEs, Fourier series to solve PDEs, central difference numerical integration methods to solve ODEs and PDEs.

Recommended Texts
Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module.
Explanation of Reading List:

Pre-requisites before taking this module (other modules and/or general educational/academic requirements):
completion of two years of study in electrical and electronic eningeering related programmes at XJTLU 

Co-requisite modules:
 

Modules for which this module is a pre-requisite:
 

Programme(s) (including Year of Study) to which this module is available on a required basis:
Programme:H646 Year:2 Programme:H670 Year:2 Programme:H602 Year:2 Programme:H606 Year:2 Programme:H603 Year:2 Programme:H604 Year:2 Programme:H610 Year:2 Programme:H612 Year:2 Programme:H620 Year:2 Programme:H621 Year:2 Programme:H645 Year:2 Programme:H651 Year:2 (for students progressing into these programmes from XJTLU)

Programme(s) (including Year of Study) to which this module is available on an optional basis:
 

Assessment
EXAM Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Unseen Written Exam  2 hours  First Semester  80  Yes  Standard UoL penalty applies  Assessment 2 Notes (applying to all assessments) Assessment 1: Class test (10%) and marked homework (10%). Assessment 2: Exam rubric: Attempt FOUR questions only. All questions are of equal value (25 marks each). 
CONTINUOUS Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Coursework  Class Test, Homework  First Semester  20  No reassessment opportunity  Non-standard penalty applies  Assessment 1 There is no reassessment opportunity, Non-standard penalty applies for late submission,