Alessandra Iozzi: Catalogue data in Spring Semester 2022

Name Prof. em. Dr. Alessandra Iozzi
Address
Dep. Mathematik
ETH Zürich, HG G 50.1
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telephone+41 44 633 81 48
E-mailalessandra.iozzi@math.ethz.ch
URLhttp://www.math.ethz.ch/~iozzi
DepartmentMathematics
RelationshipRetired Adjunct Professor

NumberTitleECTSHoursLecturers
401-0302-10LComplex Analysis Restricted registration - show details 4 credits3V + 1UA. Iozzi
AbstractBasics of complex analysis in theory and applications, in particular the global properties of analytic functions. Introduction to the integral transforms and description of some applications
Learning objectiveErwerb von einigen grundlegenden Werkzeuge der komplexen Analysis.
ContentExamples of analytic functions, Cauchy‘s theorem, Taylor and Laurent series, singularities of analytic functions, residues. Fourier series and Fourier integral, Laplace transform.
LiteratureJ. Brown, R. Churchill: "Complex Analysis and Applications", McGraw-Hill 1995

T. Needham. Visual complex analysis. Clarendon Press, Oxford. 2004.

M. Ablowitz, A. Fokas: "Complex variables: introduction and applications", Cambridge Text in Applied Mathematics, Cambridge University Press 1997

E. Kreyszig: "Advanced Engineering Analysis", Wiley 1999

J. Marsden, M. Hoffman: "Basic complex analysis", W. H. Freeman 1999

P. P. G. Dyke: "An Introduction to Laplace Transforms and Fourier Series", Springer 2004

A. Oppenheim, A. Willsky: "Signals & Systems", Prentice Hall 1997

M. Spiegel: "Laplace Transforms", Schaum's Outlines, Mc Graw Hill
Prerequisites / NoticePrerequisites: Analysis I and II
401-3226-DRLSymmetric Spaces Information Restricted registration - show details
Only for ETH D-MATH doctoral students and for doctoral students from the Institute of Mathematics at UZH. The latter need to send an email to Jessica Bolsinger (info@zgsm.ch) with the course number. The email should have the subject „Graduate course registration (ETH)“.
3 credits4GA. Iozzi
Abstract* Generalities on symmetric spaces: locally and globally symmetric spaces, groups of isometries, examples
* Symmetric spaces of non-compact type: flats and rank, roots and root spaces
* Iwasawa decomposition, Weyl group, Cartan decomposition
* Geometry at infinity
Learning objectiveLearn the basics of symmetric spaces
401-3226-00LSymmetric Spaces Information 8 credits4GA. Iozzi
Abstract* Generalities on symmetric spaces: locally and globally symmetric spaces, groups of isometries, examples
* Symmetric spaces of non-compact type: flats and rank, roots and root spaces
* Iwasawa decomposition, Weyl group, Cartan decomposition
* Geometry at infinity
Learning objectiveLearn the basics of symmetric spaces
401-5000-00LZurich Colloquium in Mathematics Information 0 creditsR. Abgrall, M. Iacobelli, A. Bandeira, A. Iozzi, S. Mishra, R. Pandharipande, University lecturers
AbstractThe lectures try to give an overview of "what is going on" in important areas of contemporary mathematics, to a wider non-specialised audience of mathematicians.
Learning objective
401-5530-00LGeometry Seminar Information 0 credits1KM. Burger, M. Einsiedler, P. Feller, A. Iozzi, U. Lang, University lecturers
AbstractResearch colloquium
Learning objective
401-5990-00LZurich Graduate Colloquium Information 0 creditsA. Iozzi, University lecturers
AbstractThe Graduate Colloquium is an informal seminar aimed at graduate students and postdocs whose purpose is to provide a forum for communicating one's interests and thoughts in mathematics.
Learning objective
406-0353-AALAnalysis III
Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement.

Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit.
4 credits9RA. Iozzi
AbstractThe focus lies on the simplest cases of three fundamental types of partial differential equations of second order: the Laplace equation, the heat equation and the wave equation.
Learning objective
LiteratureReference books and notes

Main books:

Giovanni Felder: "Partielle Differenzialgleichungen für Ingenieurinnen und Ingenieure" (Download PDF: http://www.math.ethz.ch/u/felder/Teaching/Partielle_Differenzialgleichungen ),
Erwin Kreyszig: "Advanced Engineering Mathematics", John Wiley & Sons, just chapters 11, 16.


Extra readings:

Norbert Hungerbühler: "Einführung in die partiellen Differentialgleichungen", vdf Hochschulverlag AG an der ETH Zürich,
Yehuda Pinchover, Jacob Rubinstein: "Partial Differential Equations", Cambridge University Press 2005.


For reference/complement of the Analysis I/II courses:

Christian Blatter: Ingenieur-Analysis (Download PDF)
Prerequisites / NoticeThe precise content changes with the examiner. Candidates must therefore contact the examiner in person before studying the material.