## Laura Kobel-Keller: Catalogue data in Spring Semester 2019 |

Name | Dr. Laura Kobel-Keller |

Address | Dep. Mathematik ETH Zürich, HG F 28.2 Rämistrasse 101 8092 Zürich SWITZERLAND |

Telephone | +41 44 632 89 40 |

laura.kobel-keller@math.ethz.ch | |

URL | https://people.math.ethz.ch/~kellerla |

Department | Mathematics |

Relationship | Lecturer |

Number | Title | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|

401-0272-00L | Mathematical Foundations I: Analysis B | 3 credits | 2V + 1U | L. Kobel-Keller | |

Abstract | Basics about multidimensional analysis. Ordinary differential equations as mathematical models to describe processes (continuation from Analysis A). Numerical, analytical and geometrical aspects of differential equations. | ||||

Objective | Introduction to calculus in several dimensions. Building simple models and analysing them mathematically. Knowledge of the basic concepts. | ||||

Content | Basics about multidimensional analysis. Differential equations as mathematical models to describe processes. Numerical, analytical and geometrical aspects of differential equations. | ||||

Literature | - G. B. Thomas, M. D. Weir, J. Hass: Analysis 2, Lehr- und Übungsbuch, Pearson-Verlag - D. W. Jordan, P. Smith: Mathematische Methoden für die Praxis, Spektrum Akademischer Verlag - M. Akveld/R. Sperb: Analysis I, Analysis II (vdf) - L. Papula: Mathematik für Ingenieure und Naturwissenschaftler Bde 1,2,3. (Vieweg) Further reading suggestions will be indicated during the lecture. | ||||

401-0282-00L | Mathematics II Only for Human Medicine BSc. | 4 credits | 3V + 1U | L. Kobel-Keller | |

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 |