Contents
One semester course, 4 hours lectures and 3 hours problem sessions a week.
The goal of the course is to introduce linear algebra, thus to train abstraction as a mathematical method.
The headlines are:
matrices, determinants, rank of a matrix, inverse matrix, vector space, subspace, linear dependence and linear independence, basis, dimension, inner product, orthonormal basis, projection, linear mapping, eigenvalues, diagonalization, spectral theory, invariant subspaces and Jordan normal form, quadratic forms. Minimal polynomial and Cayley-Hamilton. Use of linear algebra on Markov chains, coding theory etc. The induction principle, finite and infinite sets, surjective and injective functions.
Text-books
Fraleigh & Beauregard: Linear Algebra, 3rd ed. and notes.
Evaluation
1 oral examination
ECTS-credits
10
Semester