Topics in Complex Analysis for CALCULUS IIIS/IVA
After studying complex numbers (Appendix G in our textbook), we will see what amazing effects theorems from vector calculus have on functions which are complex-differentiable.
Two free online textbooks in complex analysis:
A comprehensive and very user-friendly web site is Eric Weisstein's World of Mathematics (MathWorld). This link is to the complex analysis section, but you can browse through various topics as you please.