# 401-0282-00L Mathematics II

Semester | Spring Semester 2019 |

Lecturers | L. Kobel-Keller |

Periodicity | yearly recurring course |

Language of instruction | German |

Comment | Only for Human Medicine BSc. |

Abstract | Consolidation and extension of mathematics as the universal language for scientific facts: The lecture aims on one hand at learning and exercising the mathematical trade and in the other hand at applying the learnt concept to medical, biological, chemical and mechanical problems. |

Objective | Simple and complex facts can be described and analysed using mathematical tools. Know and apply tools to discuss and solve (systems of) differential equations, basics of calculus in several variables and of linear algebra. Used concepts: Euler method, (in-)stability, linear maps, matrix calculus, eigenvalues and eigenvectors, parametrizations, calculus in several variables. Applications e.g. to modelling infectious diseases. |

Content | Euler method, (in-)stability, linear maps, matrix calculus, eigenvalues and eigenvectors, parametrizations, calculus in several variables, line integrals |

Literature | G. B. Thomas, M. D. Weir, J. Hass: Analysis 2, Lehr- und Übungsbuch, Pearson-Verlag further reading suggestions will be indicated during the lecture |