Menny Akka Ginosar: Catalogue data in Autumn Semester 2024

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
401-0141-00LLinear Algebra Restricted registration - show details 5 credits4V + 1UM. Akka Ginosar, R. Prohaska
AbstractIntroduction to Linear Algebra
Learning objectiveBasic 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.
ContentIntroduction 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 notesThe lecturer will provide course notes.
LiteratureK. Nipp, D. Stoffer, Lineare Algebra, VdF Hochschulverlag ETH

G. Strang, Lineare Algebra, Springer

Larson, Ron. Elementary linear algebra. Nelson Education, 2016. (Englisch)
CompetenciesCompetencies
Subject-specific CompetenciesConcepts and Theoriesassessed
Method-specific CompetenciesAnalytical Competenciesassessed
Problem-solvingassessed
Personal CompetenciesCritical Thinkingfostered
401-0243-00LAnalysis III Information Restricted registration - show details 3 credits2V + 1UM. Akka Ginosar
AbstractWe 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 objectiveLearning 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.
ContentClassification 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 notesLecture notes will be provided
Literaturelarge 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 / NoticeAnalysis I and II, insbesondere, gewöhnliche Differentialgleichungen.
401-5370-00LErgodic Theory and Dynamical Systems Information 0 credits1KM. Akka Ginosar, M. Einsiedler, University lecturers
AbstractResearch colloquium
Learning objective
406-0141-AALLinear 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 credits11RM. Akka Ginosar, R. Prohaska
AbstractIntroduction to Linear Algebra
Learning objectiveBasic knowledge of linear algebra as a tool for solving engineering problems.
Understanding of abstract mathematical formulation of technical and scientific problems.
ContentIntroduction 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.
LiteratureStrang, Gilbert. Introduction to Linear Algebra. 5th ed., Cambridge University Press, 2021.

Larson, Ron. Elementary linear algebra. Nelson Education, 2016.
CompetenciesCompetencies
Subject-specific CompetenciesConcepts and Theoriesassessed
Method-specific CompetenciesAnalytical Competenciesassessed
Problem-solvingassessed
Personal CompetenciesCritical Thinkingfostered