Marc Auer: Catalogue data in Autumn Semester 2018

Name Prof. Dr. Marc Auer
(Professor FHO - HTW Hochschule für Technik und Wirtschaft Chur (bis 2019))
Address
FHGR Fachhochschule Graubünden
Pulvermühlestrasse 57
7004 Chur
SWITZERLAND
Telephone+41 81 286 24 75
Fax+41 81 286 24 00
E-mailmarc.auer@math.ethz.ch
DepartmentMathematics
RelationshipLecturer

NumberTitleECTSHoursLecturers
401-0141-00LLinear Algebra5 credits3V + 1UM. Auer
AbstractIntroduction to Linear Algebra
ObjectiveTo acquire basic knowledge of Linear Algebra and Numerical Methods. Enhanced capability for abstract and algorithmic thinking based on mathematical concepts and models. Ability to select appropriate numerical linear algebra methods, to apply them properly and to implement them efficiently in MATLAB.
Content1 Introduction, calculations using MATLAB
2 Linear systems I
3 Linear systems II
4 Scalar- & vektorproduct
5 Basics of matrix algebra
6 Linear maps
7 Orthogonal maps
8 Trace & determinant
9 General vectorspaces
10 Metric & scalarproducts
11 Basis, basistransform & similar matrices
12 Eigenvalues & eigenvectors
13 Spectral theorem & diagonalisation
14 Repetition
Lecture notesMore information on: https://moodle-app2.let.ethz.ch/course/view.php?id=4878
LiteratureK. Nipp, D. Stoffer, Lineare Algebra, VdF Hochschulverlag ETH

G. Strang, Lineare Algebra, Springer
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. Auer
AbstractIntroduction to Linear Algebra and Numerical Analysis for Engineers. This reading course is based on chapters from the book "Introduction to Linear Algebra" by Gilbert Strang (SIAM 2009), and "A first Course in Numerical Methods" by U. Ascher and C. Greif (SIAM, 2011).
ObjectiveTo acquire basic knowledge of Linear Algebra and some aspects of related numerical metjhods and the ability to apply basic algorithms to simple problems.
Content1 Introduction, calculations using MATLAB
2 Linear systems I
3 Linear systems II
4 Scalar- & vektorproduct
5 Basics of matrix algebra
6 Linear maps
7 Orthogonal maps
8 Trace & determinant
9 General vectorspaces
10 Metric & scalarproducts
11 Basis, basistransform & similar matrices
12 Eigenvalues & eigenvectors
13 Spectral theorem & diagonalisation
14 Repetition
LiteratureGilbert Strang, Introduction to Linear Algebra, 4th ed., SIAM & Wellesley-Cambridge Press, 2009.

U. Ascher and C. Greif, A first Course in Numerical Methods", SIAM, 2011.
Prerequisites / NoticeKnowledge of elementary calculus