Complex Analysis Exams

These exams were taken by graduate students in mathematics at the University of Hawaii at Manoa.

Appendices and Indices

Topics. Expand to see a list of some topics covered on the exams.
  • the complex derivative
  • the Cauchy-Riemann equations
  • Cauchy’s theorems
  • the calculus of residues with applications to definite integrals
  • infinite series
  • the classification of isolated singularities
  • the definition of elementary functions
  • mapping propertes of fractional linear transformations and other elementary functions
  • approximation by rational functions
  • normal families
  • the Riemann mapping theorem
  • zeros of holomorphic functions


Real Analysis Exams

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