# 401-0281-00L Mathematics I

Semester | Autumn Semester 2019 |

Lecturers | L. Kobel-Keller |

Periodicity | yearly recurring course |

Language of instruction | German |

Comment | Only for Human Medicine BSc. |

Abstract | Introduction 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. |

Learning objective | Simple and complex facts can be described and analysed using mathematical tools. Introduction to calculus in one dimension. Used concepts: the notion of a function, of the derivative and the integral, the idea of a differential equation, complex numbers, Taylor polynomials and Taylor series. Applications e.g. to prognoses, modeling action and dosage of drugs or tumor growth. |

Content | Functions of one variable: the notion of a function, of the derivative, the idea of a differential equation, complex numbers, Taylor polynomials and Taylor series. The integral of a function of one variable. |

Literature | G. B. Thomas, M. D. Weir, J. Hass: Analysis 1, Lehr- und Übungsbuch, Pearson-Verlag further reading suggestions will be indicated during the lecture |