Core unitUnit 15 of 24
Complex Analysis
Explore the elegant mathematics of complex numbers and functions with applications across physics and engineering.
Difficulty
Beginner
Estimated study
200 hours
Duration
Self-paced
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About this unit
Unit overview
This unit studies functions of a complex variable and the powerful consequences of complex differentiability. You will develop geometric intuition for complex mappings and use contour integration, series and residues to solve theoretical and applied problems.
Learning outcomes
What you’ll learn
- 01Analyse complex limits, continuity and differentiability
- 02Use the Cauchy-Riemann equations and analytic functions
- 03Evaluate contour integrals using Cauchy's theorems
- 04Apply Laurent series and residues to compute integrals