## Laura Kobel-Keller: Catalogue data in Autumn Semester 2020 |

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 | |
---|---|---|---|---|---|

401-0271-00L | Mathematical Foundations I: Analysis A | 5 credits | 3V + 2U | L. Kobel-Keller | |

Abstract | Introduction to calculus in one dimension. Building simple models and analysing them mathematically. 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. | ||||

Objective | Introduction to calculus in one dimension. Building simple models and analysing them mathematically. | ||||

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 R. Sperb/M. Akveld: Analysis I (vdf) L. Papula: Mathematik für Ingenieure und Naturwissenschaftler (3 Bände), Vieweg further reading suggestions will be indicated during the lecture | ||||

401-0281-00L | Mathematics I Only for Human Medicine BSc. | 4 credits | 3V + 1U | L. Kobel-Keller | |

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. | ||||

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 | ||||

401-3420-70L | Topics in Harmonic Analysis Number of participants limited to 20 | 4 credits | 2S | F. Da Lio, L. Kobel-Keller | |

Abstract | The aim of this seminar about harmonic analysis is to study the most important and most classical topics in that field, e.g. maximal functions, Marcinkiewicz interpolation, Fourier theory, distribution theory, singular integrals and Calderon-Zygmund theory. After an introduction delivered by the two organisers, each week participants will give a seminar talk (usually in groups of two). | ||||

Objective | The students will learn on one hand the most important concept in harmonic analysis and on the other hand improve their presentations skills (by delivering a seminar talk). | ||||

Literature | The main references are: E. Stein: "Singular integrals and differentiability properties of functions " E. Stein, G. Weiss: "Introduction to Fourier analysis on Euclidean spaces" L. Grafakos: "Modern Fourier Analysis" & "Classical Fourier Analysis" | ||||

401-5350-00L | Analysis Seminar | 0 credits | 1K | M. Struwe, A. Carlotto, F. Da Lio, A. Figalli, N. Hungerbühler, M. Iacobelli, T. Ilmanen, L. Kobel-Keller, University lecturers | |

Abstract | Research colloquium | ||||

Objective |