# 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.**

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