Exam 1, Tue Sep 22

complex numbers, properties of complex numbers

elementary functions: powers, exp, cos, sin, log, roots

sets: open, closed, compact, connected

Exam 2, Thu Oct 15

possibly some topic from Exam 1

continuous functions

analytic functions, differentiation

contour integrals

Cauchy's theorem

Exam 3, Tue Nov 10

some topics from Exams 1,2

Cauchy's integral formula

maximum modulus theorem

convergent series of analytic functions

power series and Taylor's theorem

Exam 4, Wed Dec 9

some topics from Exams 1,2,3

Laurent series, isolated singularities

calculus of residues, residue theorem

evaluation of definite integrals