Menny Akka Ginosar: Catalogue data in Autumn Semester 2017

Name Dr. Menny Akka Ginosar
Address
Professur für Mathematik
ETH Zürich, HG J 67
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telephone+41 44 632 70 24
E-mailmenny.akka@math.ethz.ch
URLhttps://people.math.ethz.ch/~menashea/
DepartmentMathematics
RelationshipLecturer

NumberTitleECTSHoursLecturers
401-0241-00LAnalysis I Information 7 credits5V + 2UM. Akka Ginosar
AbstractMathematical tools for the engineer
ObjectiveMathematics as a tool to solve engineering problems. Mathematical formulation of technical and scientific problems. Basic mathematical knowledge for engineers.
ContentComplex numbers.
Calculus for functions of one variable with applications.
Simple Mathematical models in engineering.
Lecture notesDie Vorlesung folgt weitgehend

Klaus Dürrschnabel, "Mathematik für Ingenieure - Eine Einführung mit Anwendungs- und Alltagsbeispielen", Springer; online verfügbar unter:
http://link.springer.com/book/10.1007/978-3-8348-2559-9/page/1
LiteratureNeben Klaus Dürrschnabel, "Mathematik für Ingenieure - Eine Einführung mit Anwendungs- und Alltagsbeispielen", Springer sind auch die folgenden Bücher/Skripte empfehlenswert und decken den zu behandelnden Stoff ab:

Tilo Arens et al., "Mathematik", Springer; online verfügbar unter:
http://link.springer.com/book/10.1007/978-3-642-44919-2/page/1

Meike Akveld, "Analysis 1", vdf;
http://vdf.ch/index.php?route=product/product&product_id=1706

Urs Stammbach, "Analysis I/II" (erhältlich im ETH Store);
https://people.math.ethz.ch/~stammb/analysisskript.html
401-3370-67LSeminar on Homogeneous Dynamics and Applications Restricted registration - show details
Number of participants limited to 12.
4 credits2SM. Einsiedler, M. Akka Ginosar, Ç. Sert
AbstractThis seminar is offered to students taking the course Homogeneous Dynamics and Applications. It will give some more details and fill in some of the background of the material in the course. Exercises will also be an integral part of the seminar.
Objective
ContentSeminar website: https://metaphor.ethz.ch/x/2017/hs/401-3370-67L/
Prerequisites / NoticeThe seminar is restricted to 12 students, registration will be finalised in the first week of the semester.
401-3375-67LHomogeneous Dynamics and Applications8 credits4GM. Einsiedler, M. Akka Ginosar, Ç. Sert
AbstractThe aim is to reach a few of the applications of homogeneous dynamics to number theory, e.g. counting results concerning quadratic forms, but also develop the theory from scratch. The first part of the course will be based on the book "Ergodic Theory with a view towards number theory" by Einsiedler and Ward, but several topics go beyond this volume.
ObjectiveThe aim is to reach a few of the applications of homogeneous dynamics to number theory, e.g. counting results concerning quadratic forms, but also develop the theory from scratch. The first part of the course will be based on the book "Ergodic Theory with a view towards number theory" by Einsiedler and Ward, but several topics go beyond this volume.
ContentThe first part of the course will be based on the book "Ergodic Theory with a view towards number theory" by Einsiedler and Ward, but several topics go beyond this volume. Some of the aims of the course are:
-) Pointwise ergodic theorem for a certain class of amenable groups
-) Dynamics on hyperbolic surfaces, equidistribution of periodic horocycle orbits
-) Applications to counting
-) Some cases of Ratner theorems in Unipotent dynamics


Course website: https://metaphor.ethz.ch/x/2017/hs/401-3375-67L/
Prerequisites / NoticeThe course will use functional analysis quite heavily.
406-0242-AALAnalysis II Information
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.
7 credits15RM. Akka Ginosar
AbstractMathematical tools of an engineer
ObjectiveMathematics as a tool to solve engineering problems, mathematical formulation of problems in science and engineering. Basic mathematical knowledge of an engineers.
ContentMulti variable calculus: gradient, directional derivative, chain rule, Taylor expansion, Lagrange multipliers. Multiple integrals: coordinate transformations, path integrals, integrals over surfaces, divergence theorem, applications in physics. Ordinary differential equations.
LiteratureTextbooks in English:
- J. Stewart: Multivariable Calculus, Thomson Brooks/Cole
- V. I. Smirnov: A course of higher mathematics. Vol. II. Advanced calculus
- W. L. Briggs, L. Cochran: Calculus: Early Transcendentals: International Edition, Pearson Education

- M. Akveld, R. Sperb, Analysis II, vdf
- L. Papula: Mathematik für Ingenieure 2, Vieweg Verlag
406-0243-AALAnalysis I and II Information
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.
14 credits30RM. Akka Ginosar
AbstractMathematical tools for the engineer
ObjectiveMathematics as a tool to solve engineering problems. Mathematical formulation of technical and scientific problems. Basic mathematical knowledge for engineers.
ContentComplex numbers.
Calculus for functions of one variable with applications.
Simple Mathematical models in engineering.

Multi variable calculus: gradient, directional derivative, chain rule, Taylor expansion, Lagrange multipliers. Multiple integrals: coordinate transformations, path integrals, integrals over surfaces, divergence theorem, applications in physics. Ordinary differential equations.
LiteratureTextbooks in English:
- J. Stewart: Calculus, Cengage Learning, 2009, ISBN 978-0-538-73365-6.
- J. Stewart: Multivariable Calculus, Thomson Brooks/Cole.
- V. I. Smirnov: A course of higher mathematics. Vol. II. Advanced calculus.
- W. L. Briggs, L. Cochran: Calculus: Early Transcendentals: International Edition, Pearson Education. ISBN 978-0-321-65193-8.
Textbooks in German:
- M. Akveld, R. Sperb: Analysis I, vdf
- M. Akveld, R. Sperb: Analysis II, vdf
- L. Papula: Mathematik für Ingenieure und Naturwissenschaftler, Vieweg Verlag
- L. Papula: Mathematik für Ingenieure 2, Vieweg Verlag