Menny Akka Ginosar: Catalogue data in Autumn Semester 2024 |
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 | ||||||||||||||
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401-0141-00L | Linear Algebra ![]() | 5 credits | 4V + 1U | M. Akka Ginosar, R. Prohaska | ||||||||||||||
Abstract | Introduction to Linear Algebra | |||||||||||||||||
Learning objective | Basic knowledge of linear algebra as a tool for solving engineering problems. Understanding of abstract mathematical formulation of technical and scientific problems. Together with Analysis we develop the basic mathematical knowledge for an engineer. | |||||||||||||||||
Content | Introduction and linear systems of equations, matrices, quadratic matrices, determinants and traces, general vector spaces, linear mappings, bases, diagonalization, eigenvalues and eigenvectors, orthogonal transformations, scalar-product, inner product spaces, Gram-Schmidt process. | |||||||||||||||||
Lecture notes | The lecturer will provide course notes. | |||||||||||||||||
Literature | K. Nipp, D. Stoffer, Lineare Algebra, VdF Hochschulverlag ETH G. Strang, Lineare Algebra, Springer Larson, Ron. Elementary linear algebra. Nelson Education, 2016. (Englisch) | |||||||||||||||||
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401-0243-00L | Analysis III ![]() ![]() | 3 credits | 2V + 1U | M. Akka Ginosar | ||||||||||||||
Abstract | We will model and solve scientific problems with partial differential equations. Differential equations which are important in applications will be classified and solved. Elliptic, parabolic and hyperbolic differential equations will be treated. The following mathematical tools will be introduced: Laplace and Fourier transforms, Fourier series, separation of variables, methods of characteristics. | |||||||||||||||||
Learning objective | Learning to model scientific problems using partial differential equations and developing a good command of the mathematical methods that can be applied to them. Knowing the formulation of important problems in science and engineering with a view toward civil engineering (when possible). Understanding the properties of the different types of partial differential equations arising in science and in engineering. | |||||||||||||||||
Content | Classification of partial differential equations Study of the Heat equation general diffusion/parabolic problems using the following tools through Separation of variables as an introduction to Fourier Series. Systematic treatment of the complex and real Fourier Series Study of the wave equation and general hyperbolic problems using Fourier Series, D'Alembert solution and the method of characteristics. Laplace transform and it's uses to differential equations Study of the Laplace equation and general elliptic problems using similar tools and generalizations of Fourier series. Application of Laplace transform for beam theory will be discussed. Time permitting, we will introduce the Fourier transform. | |||||||||||||||||
Lecture notes | Lecture notes will be provided | |||||||||||||||||
Literature | large part of the material follow certain chapters of the following first two books quite closely. S.J. Farlow: Partial Differential Equations for Scientists and Engineers, (Dover Books on Mathematics), 1993 E. Kreyszig: Advanced Engineering Mathematics, John Wiley & Sons, 10. Auflage, 2001 The course material is taken from the following sources: Stanley J. Farlow - Partial Differential Equations for Scientists and Engineers G. Felder: Partielle Differenzialgleichungen. https://people.math.ethz.ch/~felder/PDG/ Y. Pinchover and J. Rubinstein: An Introduction to Partial Differential Equations, Cambridge University Press, 2005 C.R. Wylie and L. Barrett: Advanced Engineering Mathematics, McGraw-Hill, 6th ed, 1995 | |||||||||||||||||
Prerequisites / Notice | Analysis I and II, insbesondere, gewöhnliche Differentialgleichungen. | |||||||||||||||||
401-5370-00L | Ergodic Theory and Dynamical Systems ![]() | 0 credits | 1K | M. Akka Ginosar, M. Einsiedler, University lecturers | ||||||||||||||
Abstract | Research colloquium | |||||||||||||||||
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406-0141-AAL | Linear Algebra 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. | 5 credits | 11R | M. Akka Ginosar, R. Prohaska | ||||||||||||||
Abstract | Introduction to Linear Algebra | |||||||||||||||||
Learning objective | Basic knowledge of linear algebra as a tool for solving engineering problems. Understanding of abstract mathematical formulation of technical and scientific problems. | |||||||||||||||||
Content | Introduction and linear systems of equations, matrices, quadratic matrices, determinants and traces, general vector spaces, linear mappings, bases, diagonalization, eigenvalues and eigenvectors, orthogonal transformations, scalar-product, inner product spaces, Gram-Schmidt process. | |||||||||||||||||
Literature | Strang, Gilbert. Introduction to Linear Algebra. 5th ed., Cambridge University Press, 2021. Larson, Ron. Elementary linear algebra. Nelson Education, 2016. | |||||||||||||||||
Competencies![]() |
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