2025 - 2026

Topics covered include: holomorphic functions, power series, Goursat’s theorem, Cauchy integral formula, Morera’s theorem, Schwarz reflection principle, Runge’s approximation theorem, analytic continuation, zeros and poles, residue formula, meromorphic functions, argument principle, complex logarithm, harmonic functions, Jensen’s formula, functions of finite order, infinite products, Hadamard’s factorization theorem, Schwarz lemma, Riemann mapping theorem, gamma function, Riemann zeta function, elliptic functions, theta function.