Complex numbers. Algebra of complex numbers. Polar representation. Complex functions. Limit and continuity. Analyticity. Analytic functions. Cauchy-Riemann equations. Line integrals. Cauchy integral formula. Isolated singularities. Residue theorem. Numerical error. Solution of nonlinear equations. Convergence. Solution of linear system of equations: direct and iterative methods. Interpolation. Curve fitting. Numerical differentiation and integration.