# Course syllabus B-MAT3 - Mathematics 3 (FEEIT - WS 2019/2020)

**Syllabus**

Slovak

**English**

University: | Slovak University of Technology in Bratislava |

Faculty: | Faculty of Electrical Engineering and Information Technology |

Course unit code: | B-MAT3 |

Course unit title: | Mathematics 3 |

Mode of completion and Number of ECTS credits: | Exam (5 credits) |

Course contents: | |

The curve, line integral from scalar and vector field over the curve. Green’ s theorem, integral independent from the curve. The limit, continuity and the derivative of complex function of complex variable. Cauchy-Riemann’ s equations, analytic (holomorphic) and harmonic functions. Integral of a complex function of complex variable. Cauchy integral theorem, Cauchy integral theorem formula. Taylor series. Laurent series. Singular points, residues, Cauchy
residue theorem. Problems leading to ordinary differential equations of second order. Homogeneous linear differential equation of second order. Solution of linear differential equation of second order with constant coefficients. Nonhomogeneous linear differential equation of second order with constant coefficients. Laplace transform, basic properties, inverse Laplace transform. Applications of Laplace transform in solutions of initial value problem for ordinary differential equations and electric circuits. |

*Last modification made by RNDr. Marian Puškár on 05/07/2019.*