Students know the basic concepts of linear algebra, basic concepts of the theory of ordinary differential equation und -systems and the basic concepts of the theory of values of several variables and of the vector analysis.
They can solve linear systems of equations, calculate determinants, inverse matrixes, intrinsic values and eigenvectors, fitting tasks by means of linear algebra.
They are able to find linear solutions to ordinary differential equations of 1st and 2nd order and to apply them to challenges of Electronics and Mechanics (RLC circuit, harmonic oscillator, Spring-Mass-Systems)
They are able to find a linear solution to ordinary differential equations of 1st and 2nd order and to apply them to challenges of Electronics and Mechanics (RLC circuit, harmonic oscillator, Spring-Mass-Systems) and calculate partial derivatives, directional derivatives and extreme value tasks, as well as to differentiate vector-valued functions.

B2.00000.10.010 - Engineering Mathematics 1

Linear Algebra (matrices, linear systems of equations, order, determinant, eigen-values unandd eigenvectors, orthonormal matrices, method of the least square error, hermetic and unitary matrices)
Ordinary differential equationen 1st and 2nd order (linear, homogeneous and inhomogeneous), systems of linear diferential equations, basic concepts of the theory of values of several variables and of the vector analysis.
- basic concepts, partial derivative, total differential, directional derivative, extrema,, applications
- scalar- and vector fields, gradient, divergence, rotor, Nabla-operator

Meyberg, K., Vachenauer, P., Höhere Mathematik 1 und 2, 5. Auflage, Springer, 1999
Papula, L., Mathematik für Ingenieure und Naturwissenschaftler, Band1 und 2, 9. Auflage, Vieweg, 2000

Integrated course (ILV), Lectures, Tutorials, Projects, Application of CAS systems

Intermediate and general examination