Arithmetic, algebra, and geometry of complex numbers, including exponential forms. 14%
Continuity, differentiability, and analytic functions. 12%
Elementary functions including the exponential, logarithm, trigonometric and inverse trigonometric functions. 12%
Convergence of sequences and series of complex numbers. 7%
Contour integrals, Cauchy integral formula, and the Fundamental Theorem of Algebra. 14%
Series representations for functions of a complex variable. 12%
Singularities and residues. 14%
Applications to physics and engineering. 15%