HUNTERTUTORING

Conformal mapping and advanced topics

Complex analysis · Theoretical / proof-based

Conformal maps and the Riemann mapping theorem (statement)

Objectives

  • Conformal maps and the Riemann mapping theorem (statement)
  • Möbius transformations and the extended complex plane
  • Argument principle and Rouché's theorem (introduction)
  • Schwarz lemma and normal families (optional capstone)

Study materials