Course contents: Complex analysis: complex numbers, complex functions, analytic functions, sequences, series of complex functions, integration, calculus of integral balances. Fourier analysis: periodic functions, harmonic functions, trigonometric series, Fourier series, exponential form of Fourier series, derivative and integration of Fourier series. Taylor and McLaurin series, approximate calculations. Functions of several variables: vector analysis, curve theory, partial derivatives, Green’s, Stokes and divergence theorems, multiple integrals.

Assessment: 3 hours written exams. Mid-exams are possible with weight 40%.