MA317 Half Unit
Complex Analysis
This information is for the 2025/26 session.
Course Convenor
Prof Amol Sasane
Availability
This course is available on the BSc in Mathematics and Economics, BSc in Mathematics with Data Science, BSc in Mathematics with Economics, BSc in Mathematics, Statistics and Business, Erasmus Reciprocal Programme of Study and Exchange Programme for Students from University of California, Berkeley. This course is freely available as an outside option to students on other programmes where regulations permit. It does not require permission. This course is available with permission to General Course students.
Requisites
Additional requisites:
MA203 is a co-requisite, it is necessary but can be taken in the same term or same year.
Students should have solid grounding in mathematics. General Course students who have taken courses equivalent to MA203 should seek approval from course convenor before taking this course.
Course content
The course will cover the fundamental concepts and methods in complex analysis. The basic objects of study in the course will be complex differentiable functions in domains, 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.
Teaching
20 hours of lectures and 10 hours of classes in the Autumn Term.
1 hours of lectures in the Spring Term.
Formative assessment
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
Assessment
Exam (100%), duration: 120 Minutes in the Spring exam period
Key facts
Department: Mathematics
Course Study Period: Autumn Term
Unit value: Half unit
FHEQ Level: Level 6
CEFR Level: Null
Total students 2024/25: 11
Average class size 2024/25: 6
Capped 2024/25: Yes(50)Course selection videos
Some departments have produced short videos to introduce their courses. Please refer to the course selection videos index page for further information.
Personal development skills
- Self-management
- Problem solving
- Application of information skills
- Communication
- Application of numeracy skills
- Specialist skills