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

Please email comments, suggestions, and corrections to