Prof. Dr. Herbert Gross
Dr. Holger Babovsky
The course will take place in Moodle.
On Tuesday, 03.11.2020, 09:00 am, there will be a short meeting on Zoom (ca. 30 minutes)
Meeting-ID: 952 2746 1925
Matrices IVector Space, Span, Basis vectors, Linear Operators, Matrices
Matrices IIProperties of Matrices, special Matrices, Trace, Determinant
Matrices IIIDeterminant, Inverse
Matrices IVMatrices in Optics: Translation, Refraction, thin Lenses, Rank of a Matrix
Matrices VSimultaneous linear Equations: Gaussian Elimination Direct Inversion, LU Decomposition, Cramer's rule; Eigenvalues and Eigenvectors
Fourier Series IDirichlet Conditions, orthogonal relations, Fourier-coefficients
Fourier Series IIComplex Fourier series, Examples
Fourier Series III; Fourier Transformation IParseval's theorem; Fourier Transformation, properties
Fourier Transformation IIProperties, Delta-distribution
Fourier Transformation III; Ordinary differential Equations IConvolution and Parseval's theorem; Examples, classification
Ordinary differential Equations IIGeometrical representation, seperable differential eqations
Ordinary differential Equations III
Ordinary differential Equations IVExact differential equations
Basic tasks and their solution on differentiation and integration.
Date place and a mock exm can be found in our moodle class.