150 h 5 1st sem. Annual Winter 1 sem. Compulsory BA

Description

1.2 150 h 5 1st sem. Annual Winter 1 sem. Compulsory BA 1 Course Contact hours Self- Forms of teaching Planned Language type study (forms of learning) group size Lecture 2 SCH 102 h Sem. lessons with 40 German Exercise 2 SCH self-study material 40 German Practical / Seminar 0 SCH Supervised self-study 32 h 40 German 2 Learning outcomes / competences The participants acquire the ability to analyse real -valued functions wit h confidence in order to determine arbitrary properties of interest: They obtain familiarity with common function types and the mathematical notation and have mastered calculations utilising real and complex numbers. They are able to determine the inverse function (or an appropriate local branch) and can routinely analyse rational functions in order to correctly sketch the function graph qualitatively. They are familiar with limit values of sequences and function values, utilised, for example, to determine asymptotic behaviour of functions. They are able to correctly derive real functions and can systematically utilise this knowledge to perform function analysis and curve sketching. Furthermore, they are able to linearise a given function and understand the general idea of function approximation behind this process. Finally, they master integration up to "integration based on partial fraction decomposition" and can apply integration methods in order to determine geometric area calculations. 3 Contents Basics • Number ranges, terminology, symbols, knowledge of basic functions • Arithmetic of complex numbers Analysis I • Sequences and limits • Real functions of one variable o Reverse functions o Analysis of rational functions • Differential calculus of functions of one variable o Integral calculus of functions of one variable 4 Participation requirements None 5 Form of assessment Written examination 6 Condition for the award of credit points Module examination pass 7 Application of the module (in the following study programmes): ELM 8 Module coordinator Prof. Dr.-Ing. Tilman Hetsch 9 Other information Participation in the preceding preparatory course and the tutorials is strongly recommended. Module catalogue for the B.Eng. in Electrical Engineering (work-integrated) of the Faculty of Minden Campus Page 15 from 47 Physics ELM-1- PHY No. Workload Credit Points Study semester Frequency Sem. Duration Type Q level