FUNCTIONS OF A COMPLEX VARIABLE - 2017/8

Module code: MAT3034

Module provider

Mathematics

Module Leader

PRINSLOO AH Dr (Maths)

Number of Credits

15

ECT Credits

7.5

Framework

FHEQ Level 6

JACs code

G100

Module cap (Maximum number of students)

N/A

Module Availability

Semester 1

Overall student workload

Assessment pattern

Assessment type Unit of assessment Weighting
School-timetabled exam/test IN-SEMESTER TEST 20
Examination EXAM 80

Alternative Assessment

N/A

Prerequisites / Co-requisites

Learning outcomes

Attributes Developed
Understand what is meant by the continuity and differentiability of complex functions of a complex variable KCT
Quote, derive and apply the Cauchy-Riemann equations KCT
Compute contour integrals of continuous complex functions KCT
Quote and apply Cauchy's theorem KCT
Quote, apply and derive Cauchy's integral formulae KCT
Quote, derive and apply Liouville's theorem KCT
Analyse the convergence properties of complex power series KCT
Quote, derive and apply Taylor's theorem and Laurent's theorem, and compute Taylor and Laurent series expansions of complex functions KCT
Identify and classify the singularities of complex functions, and compute the residues of simple and higher order poles KCT
Quote, derive and apply Cauchy's residue theorem, and use the calculus of residues to compute real integrals KCT

Attributes Developed

C - Cognitive/analytical

K - Subject knowledge

T - Transferable skills

P - Professional/Practical skills

Module content

Methods of Teaching / Learning

Assessment Strategy

Reading list

Reading list for FUNCTIONS OF A COMPLEX VARIABLE : http://aspire.surrey.ac.uk/modules/mat3034

Programmes this module appears in

Programme Semester Classification Qualifying conditions
Economics and Mathematics BSc (Hons) 1 Optional A weighted aggregate mark of 40% is required to pass the module
Financial Mathematics BSc (Hons) 1 Optional A weighted aggregate mark of 40% is required to pass the module
Mathematics with Statistics BSc (Hons) 1 Optional A weighted aggregate mark of 40% is required to pass the module
Mathematics BSc (Hons) 1 Optional A weighted aggregate mark of 40% is required to pass the module
Mathematics MMath 1 Optional A weighted aggregate mark of 40% is required to pass the module
Mathematics and Physics BSc (Hons) 1 Optional A weighted aggregate mark of 40% is required to pass the module
Mathematics and Physics MMath/MPhys 1 Optional A weighted aggregate mark of 40% is required to pass the module

Please note that the information detailed within this record is accurate at the time of publishing and may be subject to change. This record contains information for the most up to date version of the programme / module for the 2017/8 academic year.