Coordinator: Prof. Dr. Herbert Gross
Lecturer: Dr. Holger Babovsky
Matrices IVector Space, Span, Basis vectors, Linear Operators, Matrices
Matrices IIProperties of Matrices, special Matrices, Trace, Determinant
Please calculate in Ex1 the product of the matrices only and ignore (v) and (x) of Ex2, as we did not make everything on the determinant in the lecture.
Matrices IIIDeterminant, Inverse
Matrices in Optics: Translation, Refraction, thin Lenses
Simultaneous linear Equations: Gaussian Elimination Direct Inversion, LU Decomposition, Cramer's rule; Eigenvalues and Eigenvectors
Fourier Series IDirichlet Conditions, orthogonal relations, Fourier-coefficients
The seminar on December fourth starts at 16.00
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 I
Convolution and Parseval's theorem; Examples, classification
Ordinary differential Equations II
Geometrical representation, seperable differential eqations
Ordinary differential Equations III
Ordinary differential Equations IV
Exact differential equations
Ordinary differential Equations V
Homogeneous, linear, second order differential equations
Basic tasks and their solution on differentiation and integration.
Here you can find a mock exam and its solution in preparation of this semesters exam.