Complex Analysis

Undergraduate | 2026

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Area/Catalogue
MATH X100
Course ID icon
Course ID
207602
Level of study
Level of study
Undergraduate
Unit value icon
Unit value
6
Course level icon
Course level
2
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Inbound study abroad and exchange
Inbound study abroad and exchange
The fee you pay will depend on the number and type of courses you study.
Yes
University-wide elective icon
University-wide elective course
Yes
Single course enrollment
Single course enrolment
Yes
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Note:
Course data is interim and subject to change

Course overview

The course is an introduction to the theory and applications of complex-differentiable functions of a complex variable. Basic concepts of calculus (limits, differentiation, integration, power series) are adapted to the complex setting. The fundamental theorem of Cauchy is proved, and its numerous consequences and applications explored. Differences between the real and complex settings are highlighted.

  • Complex Numbers And Their Geometry
  • Complex Functions
  • Applications

Course learning outcomes

  • Demonstrate skills in constructing rigorous mathematical arguments
  • Apply the theory in the course to solve a variety of problems at an appropriate level of difficulty
  • Demonstrate skills in communicating mathematics
  • Work as a team on a small project
  • Demonstrate an understanding of the theory and applications of holomorphic functions

Prerequisite(s)

N/A

Corequisite(s)

N/A

Antirequisite(s)

N/A