Complex Analysis (MATH236)
Complex numbers and complex plane. Analytic functions. Cauchy-Riemann equations, harmonic functions. Elementary functions: exponential and trigonometric functions, logarithmic functions. Contours, contour integrals, Cauchy-Goursat theorem. Liouville?s theorem and the fundamental theorem of algebra. Power series, Taylor series, Laurent series, residues and poles, residue theorems, applications of residues. Linear transformations.