The unit will begin with a revision of properties of complex numbers and complex functions. This will be followed by material on conformal mappings, Riemann surfaces, complex integration, entire and analytic functions, the Riemann mapping theorem, analytic continuation, and Gamma and Zeta functions. Finally, special topics chosen by the lecturer will be presented, which may include elliptic functions, normal families, Julia sets, functions of several complex variables, or complex manifolds.
Lecture 3 hrs/week; tutorial 1 hr/week
2 x assessment (30%), final exam worth (70%) (requires pass mark of 50% or more)
Good knowledge of analysis of functions of one real variable, working knowledge of complex numbers, including their topology, for example MATH2X23 or MATH2962 or MATH3068
(A mark of 65 or above in 12cp of MATH2XXX) or (12cp of MATH3XXX)Prohibitions
MATH3979 or MATH3964