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
E-mailozlem.imamoglu@math.ethz.ch
URLhttp://www.math.ethz.ch/~oezlemi
DepartmentMathematics
RelationshipAdjunct Professor

NumberTitleECTSHoursLecturers
401-0131-00LLinear Algebra Information 7 credits4V + 2UÖ. Imamoglu, O. Sorkine Hornung
AbstractIntroduction 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
ContentLinear 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 notesExtracts from the lecture notes "Lineare Algebra" (by Gutknecht) in German, with English expressions for all technical terms.
LiteratureRecommendations on the course website
Prerequisites / NoticeThe relevant high school material is reviewed briefly at the beginning.
401-3110-71LStudent Seminar in Elementary Number Theory Information Restricted registration - show details
Number of participants limited to 22.
4 credits2SÖ. Imamoglu
AbstractThis is a student seminar covering a range of topics in elementary number theory.
ObjectiveThe 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.
LiteratureAn 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 / NoticeFunktion theory and Algebra I & II are prerequisites.
401-5110-00LNumber Theory Seminar Information 0 credits1KÖ. Imamoglu, E. Kowalski, R. Pink, G. Wüstholz
AbstractResearch colloquium
Objective