Menny Akka Ginosar: Catalogue data in Spring Semester 2017

Name PD Dr. Menny Akka Ginosar
FieldDynamic systems
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
RelationshipPrivatdozent

NumberTitleECTSHoursLecturers
401-0242-00LAnalysis II Information 7 credits5V + 2UM. 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 engineer
ContentMulti variable calculus: gradient, directional derivative, chain rule, Taylor expansion. Multiple integrals: coordinate transformations, path integrals, integrals over surfaces, theorems of Green, Gauss and Stokes, applications in physics.
Lecture notesM. Akveld, R. Sperb. Analysis II. vdf, 2015
Literature- M. Akveld, R. Sperb. Analysis II. vdf, 2015
- James Stewart: Multivariable Calculus, Thomson Brooks/Cole
- Papula, L.: Mathematik für Ingenieure 2, Vieweg Verlag
- Smirnow, W. I.: Lehrgang der höheren Mathematik, Bd. II
- William L. Briggs / Lyle Cochran: Calculus: Early Transcendentals: International Edition, Pearson Education
Prerequisites / NoticeAnalysis I
401-3370-17LArithmetic of Quadratic Forms Restricted registration - show details
Number of participants limited to 12. Registration to the seminar will only be effective once confirmed by the organisers. Please contact Link .
This seminar is fully occupied. Unconfirmed registrations have been deleted.
4 credits2SM. Akka Ginosar
AbstractIntroductory seminar about rational quadratic forms. P-adic numbers, Hasse's local to global principle and the finiteness of the genus will be discussed.
ObjectiveQuadratic forms and the numbers they represent have been of interest to mathematicians for a long time. For example, which integers can be expressed as a sum of two squares of integers? Or as a sum of three squares? Lagrange's four-squares theorem for instance states that any positive integer can be expressed as a sum of four squares. Such questions motivated the development of many aspects of algebraic number theory.

In this seminar we follow the beautiful monograph of Cassels "Rational quadratic forms" and will treat the fundamental results concerning quadratic forms over the integers and the rationals such as Hasse's local to global principle and finiteness of the genus.
ContentThe seminar will mostly follow the book "Rational quadratic forms" by J.W.S. Cassels, particularly Chapters 1-9. Exercises in this book are an integral part of the seminar. Towards the end of the semester additional topics may be treated.
Lecture notesCassels, John William Scott. Rational quadratic forms. Vol. 13. Academic Pr, 1978.
LiteratureMain reference:
Cassels, John William Scott. Rational quadratic forms. Vol. 13. Academic Pr, 1978.
Additional references:

Kitaoka, Yoshiyuki. Arithmetic of quadratic forms. Vol. 106. Cambridge University Press, 1999.
Schulze-Pillot, Rainer. "Representation by integral quadratic forms - a survey." Contemporary Mathematics 344 (2004): 303-322.
Prerequisites / NoticeThe student is assumed to have attended courses on linear algebra and algebra (as taught at ETH for instance). Previous knowledge on p-adic numbers is not assumed.
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 engineer
ContentMulti variable calculus: gradient, directional derivative, chain rule, Taylor expansion. Multiple integrals: coordinate transformations, path integrals, integrals over surfaces, divergence theorem, applications in physics.
Literature- James Stewart: Multivariable Calculus, Thomson Brooks/Cole
- William L. Briggs / Lyle Cochran: Calculus: Early Transcendentals: International Edition, Pearson Education (Chapters 10 - 14)
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.
ContentShort introduction to mathematical logic.
Complex numbers.
Calculus for functions of one variable with applications.
Simple types of ordinary differential equations.
Simple Mathematical models in engineering.

Multi variable calculus: gradient, directional derivative, chain rule, Taylor expansion. Multiple integrals: coordinate transformations, path integrals, integrals over surfaces, divergence theorem, applications in physics.
LiteratureTextbooks in English:
- J. Stewart: Calculus, Cengage Learning, 2009, ISBN 978-0-538-73365-6
- J. Stewart: Multivariable Calculus, Thomson Brooks/Cole (e.g. Appendix G on complex numbers)
- V. I. Smirnov: A course of higher mathematics. Vol. II. Advanced calculus
- W. L. Briggs, L. Cochran: Calculus: Early Transcendentals: International Edition, Pearson Education
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