Modul no. : | n/a |

ECTS credits: | 5 |

Expenditure of time: | 54h contact time + 96h self study |

Modul type: | compulsory module |

Duration: | 1 semester |

Supervisor: | Prof. Dr.-Ing. U. Totzek |

Requirements: | A successful completion of the modules mathematics 1 and 2 is advisable. |

Objectives: | The courses in Mathematics I – III shall provide the students with basic mathematical knowledge as well as with the way of mathematical thinking and the application of mathematical procedures, which are the basis of the following engineering courses. The students shall be acquainted with the techniques for solving mathematical problems and shall learn how to apply mathematical procedures to engineering tasks. |

Contents: | This module includes the fourier series and ordinary differential equations, especially the directional field, linear differential equations of n-th order, and the numerical solution of differential equations of n-th order (Runge-Kutta). Further contents are the laplace transformation, including dampening-, time-shift- and convolution theorem, and the solution of differential equations of n-th order. |

Applicability: | Compulsory module for this course of studies and an elective module for other study paths. |

Teaching methods: | Lecture, tutorial |

Further information: | Papula, L. (2016): Mathematik für Ingenieure und Naturwissenschaftler, Bd. 1 u. 2. Springer Verlag. Papula, L. (2017): Mathematische Formelsammlung. Springer Verlag. Bronstein, I.N. und Semendjajew, K.A. (2016): Taschenbuch der Mathematik. Verlag Europa Lehrmittel, Haan-Gruiten. |

Individual courses: | mathematics 3 in semester 3 |