# 406-0141-AAL Linear Algebra

Semester | Spring Semester 2018 |

Lecturers | M. Auer |

Periodicity | every semester recurring course |

Language of instruction | English |

Comment | 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. |

Abstract | Introduction to Linear Algebra and Numerical Analysis for Engineers. The contents of the course are covered in the book "Introduction to Linear Algebra" by Gilbert Strang (SIAM, 2003). MATLAB is used as a tool to formulate and implement numerical algorithms. |

Objective | To acquire basic knowledge of Linear Algebra and of a few fundamental numerical techniques. The course is meant to hone analytic and algorithmic skills. |

Content | 1. Vectors and vector spaces 2. Solving linear systems of equations (Gaussian elimination) 3. Orthogonality 4. Determinants 5. Eigenvalues and eigenvectors 6. Linear transformations 7. Numerical linear algebra in MATLAB 8. (Piecewise) polynomial interpolation 9. Splines |

Literature | G. Strang, "Introduction to linear algebra", Third edition, 2003, ISBN 0-9614088-9-8, http://math.mit.edu/linearalgebra/ T. Sauer. "Numerical analysis", Addison-Wesley 2006 |