Marc Auer: Catalogue data in Autumn Semester 2017 |
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 |
marc.auer@math.ethz.ch | |
Department | Mathematics |
Relationship | Lecturer |
Number | Title | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|
401-0141-00L | Linear Algebra | 5 credits | 3V + 1U | M. Auer | |
Abstract | Introduction to Linear Algebra | ||||
Objective | To 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. | ||||
Content | 1 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 notes | More information on: http://www.sam.math.ethz.ch/~grsam/HS17/LABAUG/index.html | ||||
Literature | K. Nipp, D. Stoffer, Lineare Algebra, VdF Hochschulverlag ETH G. Strang, Lineare Algebra, Springer | ||||
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. Auer | |
Abstract | Introduction 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). | ||||
Objective | To acquire basic knowledge of Linear Algebra and some aspects of related numerical metjhods and the ability to apply basic algorithms to simple problems. | ||||
Content | 1 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 | ||||
Literature | Gilbert 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 / Notice | Knowledge of elementary calculus |