Menny Akka Ginosar: Catalogue data in Spring Semester 2018 |
Name | PD Dr. Menny Akka Ginosar |
Field | Dynamic systems |
Address | Professur für Mathematik ETH Zürich, HG J 67 Rämistrasse 101 8092 Zürich SWITZERLAND |
Telephone | +41 44 632 70 24 |
menny.akka@math.ethz.ch | |
URL | https://people.math.ethz.ch/~menashea/ |
Department | Mathematics |
Relationship | Privatdozent |
Number | Title | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|
401-0242-00L | Analysis II | 7 credits | 5V + 2U | M. Akka Ginosar | |
Abstract | Mathematical tools of an engineer | ||||
Objective | Mathematics as a tool to solve engineering problems, mathematical formulation of problems in science and engineering. Basic mathematical knowledge of an engineer | ||||
Content | Multi 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 notes | M. 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 / Notice | Analysis I | ||||
401-3376-18L | Homogeneous Dynamics II | 6 credits | 3V | M. Einsiedler, M. Akka Ginosar, Ç. Sert | |
Abstract | |||||
Objective | |||||
Content | We will continue developing homogeneous dynamics with the aim to see several cases of Ratner’s theorems, further measure rigidity results for diagonalisable flows (Einsiedler-Katok-Lindenstrauss) and measure rigidity results for random walks on homogeneous spaces (Benoit-Quint). For this some more tools that were not developed in the first semester have to be introduced along the way, in particular conditional measures, entropy theory, and leafwise measures. We will also discuss a few of the applications of these theorems to Diophantine approximation or other areas of number theory. | ||||
Prerequisites / Notice | Doctoral students may receive 3 credits for the course and should be able to follow even without the first semester. For receiving the credits a presentation is required. | ||||
406-0242-AAL | Analysis II 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 credits | 15R | M. Akka Ginosar | |
Abstract | Mathematical tools of an engineer | ||||
Objective | Mathematics as a tool to solve engineering problems, mathematical formulation of problems in science and engineering. Basic mathematical knowledge of an engineer | ||||
Content | Multi 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-AAL | Analysis I and II 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 credits | 30R | M. Akka Ginosar | |
Abstract | Mathematical tools for the engineer | ||||
Objective | Mathematics as a tool to solve engineering problems. Mathematical formulation of technical and scientific problems. Basic mathematical knowledge for engineers. | ||||
Content | Short 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. | ||||
Literature | Textbooks 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 |