Syllabus
Scalar and vector fields. The equation of a curve and of a surface.
Differentiating vector functins. Gradient, divergence, curl.
Laplacian. Multiple integrals.
Double and triple integrals. Polar, cylindrical and sherical coordinates.
Geometrical and physical applications. Improper multiple integrals.
Infinite series. Sequences.
Infinite series. Tests for convergence.
Absolute convergence. Power series, radius of convergence.
Taylor series. Fourier series.
Orthogonal systems of functions. Fourier coefficients.
Convergence of a Fourier series.
Annotation
Lectures on mathematics for programmes of applied geology. Scalar and vector fields. Double and triple integrals, geometrical and physical applications. Infinite series; power series, Fourier series. Convergence of series.
Please note, the lectures are given in Czech language only.