Description:

This course is designed to provide M.Sc. students with a deep understanding of complex analysis, including topics such as complex functions, Cauchy's theorem, Laurent series, singularities, contour integrals, and residue calculus. Through this course, students will develop advanced mathematical skills to solve complex problems and explore the applications of complex analysis in various fields.

Key Highlights:

• In-depth study of complex functions
• Exploration of Cauchy's theorem
• Understanding of Laurent series and singularities
• Application of contour integrals
• Mastery of residue calculus

What you will learn:

• Develop Proficiency in Complex Functions
  Gain a solid foundation in complex functions and their properties.
• Apply Cauchy's Theorem
  Learn how to utilize Cauchy's theorem to evaluate complex integrals.
• Explore Laurent Series and Singularities
  Understand the convergence of Laurent series and classification of singularities.
• Master Contour Integrals
  Learn techniques to evaluate contour integrals over complex paths.
• Utilize Residue Calculus
  Develop skills in residue calculus for computing complex integrals efficiently.