Complex Analysis (L7) (975G1)

15 credits, Level 7 (Masters)

Spring teaching

In this module, you'll learn:

• how mathematical analysis extends from real numbers to complex numbers (numbers with both real and imaginary parts). We'll use ideas from geometry to help understand this
• complex differentiation and path integrals—ways of analyzing functions in the complex plane
• Cauchy's theorem, which leads to important results like the fundamental theorem of algebra, analytic continuation (extending functions beyond their original domain), and the residue theorem.

We regularly review our modules to incorporate student feedback, staff expertise, as well as the latest research and teaching methodology. We’re planning to run these modules in the academic year 2026/27. However, there may be changes to these modules in response to feedback, staff availability, student demand or updates to our curriculum.

We’ll make sure to let you know of any material changes to modules at the earliest opportunity.

Courses

This module is offered on the following courses:

• Mathematics (research placement) MMath
• Mathematics MMath
• Mathematics with Economics MMath
• Mathematics with Finance MMath