# Search result: Course units in Autumn Semester 2019

Mathematics Master | ||||||

Core Courses For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 15 of the required 28 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields. | ||||||

Core Courses: Pure Mathematics | ||||||

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

401-3225-00L | Introduction to Lie Groups | W | 8 credits | 4G | P. D. Nelson | |

401-3001-61L | Algebraic Topology I | W | 8 credits | 4G | A. Sisto | |

401-3114-69L | Introduction to Algebraic Number Theory | W | 8 credits | 3V + 1U | Ö. Imamoglu | |

401-3132-00L | Commutative Algebra | W | 10 credits | 4V + 1U | E. Kowalski | |

Core Courses: Applied Mathematics and Further Appl.-Oriented Fields ¬ | ||||||

Number | Title | Type | ECTS | Hours | Lecturers | |

401-3651-00L | Numerical Analysis for Elliptic and Parabolic Partial Differential Equations Course audience at ETH: 3rd year ETH BSc Mathematics and MSc Mathematics and MSc Applied Mathematics students. Other ETH-students are advised to attend the course "Numerical Methods for Partial Differential Equations" (401-0674-00L) in the CSE curriculum during the spring semester. | W | 10 credits | 4V + 1U | C. Schwab | |

401-3621-00L | Fundamentals of Mathematical Statistics | W | 10 credits | 4V + 1U | S. van de Geer | |

401-3622-00L | Statistical Modelling | W | 8 credits | 4G | C. Heinze-Deml | |

401-4889-00L | Mathematical Finance | W | 11 credits | 4V + 2U | J. Teichmann | |

401-3901-00L | Mathematical Optimization | W | 11 credits | 4V + 2U | R. Zenklusen | |

Bachelor Core Courses: Pure Mathematics Further restrictions apply, but in particular: 401-3531-00L Differential Geometry I can only be recognised for the Master Programme if 401-3532-00L Differential Geometry II has not been recognised for the Bachelor Programme. Analogously for: 401-3461-00L Functional Analysis I - 401-3462-00L Functional Analysis II 401-3001-61L Algebraic Topology I - 401-3002-12L Algebraic Topology II 401-3132-00L Commutative Algebra - 401-3146-12L Algebraic Geometry For the category assignment take contact with the Study Administration Office (www.math.ethz.ch/studiensekretariat) after having received the credits. | ||||||

Number | Title | Type | ECTS | Hours | Lecturers | |

401-3461-00L | Functional Analysis I At most one of the three course units (Bachelor Core Courses) 401-3461-00L Functional Analysis I 401-3531-00L Differential Geometry I 401-3601-00L Probability Theory can be recognised for the Master's degree in Mathematics or Applied Mathematics. | E- | 10 credits | 4V + 1U | M. Struwe | |

401-3531-00L | Differential Geometry I At most one of the three course units (Bachelor Core Courses) 401-3461-00L Functional Analysis I 401-3531-00L Differential Geometry I 401-3601-00L Probability Theory can be recognised for the Master's degree in Mathematics or Applied Mathematics. | E- | 10 credits | 4V + 1U | U. Lang | |

401-3371-00L | Dynamical Systems I | W | 10 credits | 4V + 1U | W. Merry | |

Bachelor Core Courses: Applied Mathematics ... Further restrictions apply, but in particular: 401-3601-00L Probability Theory can only be recognised for the Master Programme if neither 401-3642-00L Brownian Motion and Stochastic Calculus nor 401-3602-00L Applied Stochastic Processes has been recognised for the Bachelor Programme. 402-0205-00L Quantum Mechanics I is eligible as an applied core course, but only if 402-0224-00L Theoretical Physics (offered for the last time in FS 2016) isn't recognised for credits (neither in the Bachelor's nor in the Master's programme). For the category assignment take contact with the Study Administration Office (www.math.ethz.ch/studiensekretariat) after having received the credits. | ||||||

Number | Title | Type | ECTS | Hours | Lecturers | |

401-3601-00L | Probability Theory At most one of the three course units (Bachelor Core Courses) 401-3461-00L Functional Analysis I 401-3531-00L Differential Geometry I 401-3601-00L Probability Theory can be recognised for the Master's degree in Mathematics or Applied Mathematics. | E- | 10 credits | 4V + 1U | A.‑S. Sznitman | |

402-0205-00L | Quantum Mechanics I | W | 10 credits | 3V + 2U | G. Blatter | |

Electives For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 15 of the required 28 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields. | ||||||

Electives: Pure Mathematics | ||||||

Selection: Algebra, Number Thy, Topology, Discrete Mathematics, Logic | ||||||

Number | Title | Type | ECTS | Hours | Lecturers | |

401-3033-00L | Gödel's Theorems | W | 8 credits | 3V + 1U | L. Halbeisen | |

401-4037-69L | O-Minimality and Diophantine Applications | W | 4 credits | 2V | A. Forey | |

401-4117-69L | p-Adic Galois Representations | W | 4 credits | 2V | M. Mornev | |

401-3059-00L | Combinatorics II | W | 4 credits | 2G | N. Hungerbühler | |

Selection: Geometry | ||||||

Number | Title | Type | ECTS | Hours | Lecturers | |

401-4531-69L | Four-Manifolds | W | 4 credits | 2V | G. Smirnov | |

401-3057-00L | Finite Geometries IIDoes not take place this semester. | W | 4 credits | 2G | N. Hungerbühler |

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