Complex Analysis Exams

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

• Examination 1
• Examination 2
• Examination 3
• Examination 4
• Examination 5
• Examination 6
• Examination 7
• Examination 8
• Examination 9

Appendices and Indices

• Appendix
• References
• Acknowledgements

• Index

• Search Page

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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

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References.

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Real Analysis Exams

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