COMPLEX ANALYSIS

Course Code

MX 3522

Credit Points

15

Course Coordinator

Dr J Elmer

Pre-requisites

MX 3021

Overview

• 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.

Structure

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

Assessment

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.

Formative Assessment

Informal assessment of weekly homework through discussions in tutorials.

Feedback

In-course assignments will normally be marked within one week and feedback provided to students in tutorials.

Students will be invited to contact Course Coordinators for feedback on the final examination.