Description:

The course on Complex Integration covers advanced topics in the field of complex analysis, focusing on the theory and applications of complex integration. Students will learn about contour integration, Cauchy's theorem, singularities, residues, and a variety of techniques for solving complex integrals. The course also explores connections between complex analysis and other areas of mathematics and physics.

Key Highlights:

• Contour integration
• Cauchy's theorem
• Singularities
• Residues
• Advanced integration techniques

What you will learn:

• Deep understanding of contour integration
  Learn how to integrate complex functions along complex paths.
• Application of Cauchy's theorem
  Understand the significance of Cauchy's integral formula in complex analysis.
• Handling singularities and residues
  Explore the behavior of functions around singular points and calculate residues.
• Techniques for complex integrals
  Master various methods like the residue theorem and branch cuts for solving complex integrals.