401-0141-00L Linear Algebra
Semester | Autumn Semester 2017 |
Lecturers | M. Auer |
Periodicity | yearly recurring course |
Language of instruction | German |
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: Link |
Literature | K. Nipp, D. Stoffer, Lineare Algebra, VdF Hochschulverlag ETH G. Strang, Lineare Algebra, Springer |