Welcome to MAT 342
This is a mathematically rigorous course and most statements will
come with complete proofs. Topics covered will include:
Properties of complex numbers
Analytic functions with examples
Contour integrals
The Cauchy integral formula
The fundamental theorem of algebra
Power series and Laurent series
Residues and poles with applications
Conformal mappings with applications
and other topics if time permits.
Textbook: "Complex Variables and Applications" by James Ward Brown and Ruel V. Churchill, eighth edition, McGraw-Hill, 2009
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