Prof. Alar Toomre
This course explored topics such as complex algebra and functions, analyticity, contour integration, Cauchy's theorem, singularities, Taylor and Laurent series, residues, evaluation of integrals, multivalued functions, potential theory in two dimensions, Fourier analysis and Laplace transforms.
OCW has published multiple versions of this subject.
Toomre, Alar. 18.04 Complex Variables with Applications, Fall 2003. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-04-complex-variables-with-applications-fall-2003 (Accessed). License: Creative Commons BY-NC-SA