Updated syllabus: Chapter 1 (Complex ¡­

Updated syllabus:

Chapter 1 (Complex numbers): Sections 1-7.

Chapter 2 (Analytic functions): Sections 1-4.

Chapter 3 (Elementary functions): Sections 1-3 & 5.

Chapter 4 (Complex integration): Sections 1-6.

Chapter 5 (Series representations of analytic functions): Sections 1-3 & 5-6.

Chapter 6 (Residue theory): Sections 1, 3, 7.

Chapter 7 (Conformal mapping): Sections 2, 3.