## Urs Lang: Catalogue data in Autumn Semester 2020 |

Name | Prof. Dr. Urs Lang |

Field | Mathematik |

Address | Professur für Mathematik ETH Zürich, HG G 27.3 Rämistrasse 101 8092 Zürich SWITZERLAND |

Telephone | +41 44 632 60 11 |

urs.lang@math.ethz.ch | |

URL | http://www.math.ethz.ch/~lang |

Department | Mathematics |

Relationship | Full Professor |

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

401-0261-G0L | Analysis I | 8 credits | 5V + 3U | A. Cannas da Silva, U. Lang | |

Abstract | Differential and integral calculus for functions of one and several variables; vector analysis; ordinary differential equations of first and of higher order, systems of ordinary differential equations; power series. The mathematical methods are applied in a large number of examples from mechanics, physics and other areas which are basic to engineering. | ||||

Objective | Introduction to the mathematical foundations of engineering sciences, as far as concerning differential and integral calculus. | ||||

Lecture notes | U. Stammbach: Analysis I/II | ||||

Prerequisites / Notice | The exercises and online quizzes are an integral part of this course. | ||||

401-3533-70L | Differential Geometry III | 4 credits | 2V | U. Lang | |

Abstract | Topics in Riemannian geometry in the large: the structure of complete, non-compact Riemannian manifolds of non-negative sectional curvature, including Perelman's (1994) proof of the Cheeger-Gromoll soul conjecture; the Besson-Courtois-Gallot barycenter method (1996) and the proofs of the minimal entropy theorem and the Mostow rigidity theorem for rank one locally symmetric spaces. | ||||

Objective | |||||

401-5530-00L | Geometry Seminar | 0 credits | 1K | M. Burger, M. Einsiedler, P. Feller, A. Iozzi, U. Lang, University lecturers | |

Abstract | Research colloquium | ||||

Objective |