Exam 1, Thu Feb 6

complex numbers, properties of complex numbers

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

sets: open, closed, compact, connected

Exam 2, Thu Mar 6

some topics from Exam 1

continuous functions

analytic functions, differentiation

contour integrals

Cauchy's theorem

Exam 3, Thu Apr 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, Fri May 9

some topics from Exams 1,2,3

Laurent series, isolated singularities

calculus of residues, residue theorem

evaluation of definite integrals