## Özlem Imamoglu: Catalogue data in Autumn Semester 2021 |

Name | Prof. Dr. Özlem Imamoglu |

Address | Dep. Mathematik ETH Zürich, HG G 37.3 Rämistrasse 101 8092 Zürich SWITZERLAND |

Telephone | +41 44 632 79 24 |

ozlem.imamoglu@math.ethz.ch | |

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

Department | Mathematics |

Relationship | Adjunct Professor |

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

401-0131-00L | Linear Algebra | 7 credits | 4V + 2U | Ö. Imamoglu, O. Sorkine Hornung | |

Abstract | Introduction to linear algebra (vector spaces, linear transformations, matrices), inner product, determinants, matrix decompositions (LU, QR, eigenvalue and singular value decomposition). | ||||

Objective | - Understand and apply fundamental concepts of linear algebra - Learn about applications of linear algebra | ||||

Content | Linear Algebra: Linear systems of equations, vectors and matrices, norms and scalar products, LU decomposition, vector spaces and linear transformations, least squares problems, QR decomposition, determinants, eigenvalues and eigenvectors, singular value decomposition, applications. | ||||

Lecture notes | Extracts from the lecture notes "Lineare Algebra" (by Gutknecht) in German, with English expressions for all technical terms. | ||||

Literature | Recommendations on the course website | ||||

Prerequisites / Notice | The relevant high school material is reviewed briefly at the beginning. | ||||

401-3110-71L | Student Seminar in Elementary Number Theory Number of participants limited to 22. | 4 credits | 2S | Ö. Imamoglu | |

Abstract | This is a student seminar covering a range of topics in elementary number theory. | ||||

Objective | The purpose of this seminar is to introduce a diversified range of topics in elementary number theory, each of which has spurred, and still motivates, a great deal of research in the area. This will hopefully encourage a deeper understanding of the subject and serve as a basis for more advanced courses. | ||||

Literature | An introduction to the theory of numbers (5th edition) by G.H. Hardy and E.M. Wright (Oxford University Press 1980) Introduction to Analytic Number Theory by T.M. Apostol (Springer 1976) Introduction to Analytic Number Theory by K. Chandrasekharan (Springer 1968) | ||||

Prerequisites / Notice | Funktion theory and Algebra I & II are prerequisites. | ||||

401-5110-00L | Number Theory Seminar | 0 credits | 1K | Ö. Imamoglu, E. Kowalski, R. Pink, G. Wüstholz | |

Abstract | Research colloquium | ||||

Objective |