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

References.

https://ws-na.amazon-adsystem.com/widgets/q?_encoding=UTF8&MarketPlace=US&ASIN=0070006571&ServiceVersion=20070822&ID=AsinImage&WS=1&Format=_SL140_&tag=typefunc-20 https://ws-na.amazon-adsystem.com/widgets/q?_encoding=UTF8&MarketPlace=US&ASIN=0387903283&ServiceVersion=20070822&ID=AsinImage&WS=1&Format=_SL140_&tag=typefunc-20 https://ws-na.amazon-adsystem.com/widgets/q?_encoding=UTF8&MarketPlace=US&ASIN=0070542341&ServiceVersion=20070822&ID=AsinImage&WS=1&Format=_SL140_&tag=typefunc-20 https://ws-na.amazon-adsystem.com/widgets/q?_encoding=UTF8&MarketPlace=US&ASIN=0821844288&ServiceVersion=20070822&ID=AsinImage&WS=1&Format=_SL140_&tag=typefunc-20 https://ws-na.amazon-adsystem.com/widgets/q?_encoding=UTF8&MarketPlace=US&ASIN=0691113858&ServiceVersion=20070822&ID=AsinImage&WS=1&Format=_SL140_&tag=typefunc-20

Real Analysis Exams

Please email comments, suggestions, and corrections to williamdemeo@gmail.com