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MT3503 Complex Analysis

SCOTCAT credits:15
Academic year(s):2017/8
SCQF Level 9
Planned timetable:12.00 noon Mon (odd weeks), Wed and Fri

This module aims to introduce students to analytic function theory and applications. The topics covered include: analytic functions; Cauchy-Riemann equations; harmonic functions; multivalued functions and the cut plane; singularities; Cauchy's theorem; Laurent series; evaluation of contour integrals; fundamental theorem of algebra; Argument Principle; Rouche's Theorem.

Place in programme(s) and relationship to other modules


Compulsory for MMath Applied Mathematics, MMath Mathematics, and MMath Pure Mathematics.

Optional for all other undergraduate programmes in the School of Mathematics & Statistics.

UG Pre-requisite(s):MT2502 or MT2503 or MT2001
UG Modules required for:MT4005, MT4111, MT4112, MT4501, MT4513, MT4519, MT4608, MT5802

Learning and teaching methods and delivery

Weekly contact:2.5 lectures (weeks 1 - 10) and 1 tutorial (weeks 2 - 11).
Total module hours:
  • Scheduled learning: 34
  • Guided independent study: 116

Assessment pattern

UG As defined by QAA:
  • Written examinations: 90%
  • Practical examinations: 0%
  • Coursework: 10%
UG As used by St Andrews:2-hour Written Examination = 90%, Coursework = 10%
UG Re-assessment:2-hour Written Examination = 100%


Module coordinator:Dr M Quick
Module teaching staff:Dr M Quick