260401 PUE STEOP 2: Introduction to Calculus (2022W)

Aims:
Acquirement (or refreshment) of the basic mathematical skills required in the initial phase of physics studies. Independent application of the knowledge acquired in the lecture in mathematical examples and physical problems (solving of mathematical problems, discussion of different solutions), deepening of the lecture material, presentation of results.

Contents:
The most important functions and their properties, coordinate systems and vector algebra, complex numbers (Cartesian representation, exponential form), differentiation rules, differentiation of functions and vectors, partial differentiation, integration rules, rotational bodies, calculation of arc lengths, multiple integrals, ordinary differential equations 1st and 2nd order (linear homogeneous and inhomogeneous differential equations in the physical context, existence and uniqueness of solutions) as well as differentiation of fields (grad, div and rot), integration of fields (curve and surface integrals).

Method:
Students receive a weekly exercise sheet. In the exercises, the students present the solutions to their independently solved exercises on the blackboard.