# Undergraduate Catalogue of Courses 2012/2013

## MATHEMATICAL SCIENCES

MX 3522

COMPLEX ANALYSIS

CREDIT POINTS 15

*Course Co-ordinator:* Dr J Elmer

*Pre-requisite(s):*
MX 3021

- Revision of complex numbers, roots of unity, polynomials.
- Elementary functions, differentiation, Cauchy-Riemann equations.
- Path integrals, Cauchy's Theorem and Cauchy's Integral Formulae.
- Liouville's Theorem and the Fundamental Theorem of Algebra.
- Taylor Series, Laurent Series, Cauchy's Residue Theorem and applications to real integrals.

2 one-hour lectures and 1 one-hour tutorial per week.

1st Attempt: 1 two-hour written examination (80%); in-course assessment (20%).

Resit: 1 two-hour examination (maximum of 100% resit and 80% resit with 20% in-course assessment).

Only the marks obtained on first sitting can be used for Honours classification.