MA317      Half Unit
Complex Analysis

This information is for the 2016/17 session.

Teacher responsible

Dr Amol Sasane


This course is available on the BSc in Business Mathematics and Statistics, BSc in Mathematics and Economics, BSc in Mathematics with Economics and BSc in Statistics with Finance. This course is available as an outside option to students on other programmes where regulations permit. This course is available with permission to General Course students.


Solid grounding in mathematics, especially analysis, in particular MA203 Real Analysis.

Course content

The course will cover the fundamental concepts and methods in complex analysis. The basic object of study in the course will be a complex differentiable function in a domain, and the far-reaching consequences of the notion complex differentiability will be dealt with in the course. The specific topics that will be covered are: the geometry of complex numbers, complex differentiation, Cauchy-Riemann equations, Cauchy's integral theorem and its consequences, Taylor and Laurent series, and harmonic functions. The core results will be illustrated with computational examples and applications.


22 hours of lectures and 10 hours of classes in the LT.

Formative coursework

Written answers to set problems will be expected on a weekly basis.

Indicative reading

(1) S.D. Fisher. Complex Variables. Corrected reprint of the second (1990) edition, Dover Publications, Inc., Mineola, NY, 1999.

(2) J.E. Marsden and M.J. Hoffman. Basic Complex Analysis. Second edition, W. H. Freeman and Company, New York, 1987.

(3) D.O. Tall. Functions of a Complex Variable. Routledge and Kegan Paul, London, 1985


Exam (100%, duration: 2 hours) in the main exam period.

Key facts

Department: Mathematics

Total students 2015/16: 12

Average class size 2015/16: 12

Capped 2015/16: No

Lecture capture used 2015/16: Yes (LT)

Value: Half Unit

Guidelines for interpreting course guide information

PDAM skills

  • Self-management
  • Problem solving
  • Application of information skills
  • Communication
  • Application of numeracy skills
  • Specialist skills