Description:

Complex Analysis is a branch of mathematics studying complex numbers and complex functions. This course covers topics such as Cauchy's integral theorem, Laurent series, residues, and conformal mapping. It explores the behavior of complex functions and their properties in-depth.

Key Highlights:

• Study complex numbers and functions
• Learn Cauchy's integral theorem
• Explore Laurent series and residues
• Understand conformal mapping

What you will learn:

• Gain in-depth knowledge of complex functions
  Understand the behavior and properties of complex functions to solve complex mathematical problems.
• Master Cauchy's integral theorem
  Learn the fundamental theorem of contour integration in complex analysis for practical applications.
• Explore Laurent series and residues
  Dive into the theory of Laurent series and residues to analyze complex functions with singularities.
• Understand conformal mapping
  Study how conformal mappings preserve angles and shapes, crucial in various mathematical and physical fields.