Module Guide

Mechatronik plus (MK-plus)

Mathematik II

Teaching Methods Lecture/Tutorial
Duration 1
SWS 8.0
Effort
Classes 90 h
Self-study / group work: 90 h
Workload 180 h
ECTS 6.0
Frequency Annually (ws)
Lectures

Mathematik II

Type Vorlesung/Übung
Nr. EMI302
SWS 8.0
Lecture Content

Complex numbers: Imaginary unit i / calculation rules for complex numbers / Gaussian number plane / cartesian form, polar forms (trigonometrical, exponential) / application / potentiation, roots / factorization of polynomials

Deepen the analysis of one variable, in particular curves in parameter form, polar coordinates

Power series: sequences and series of numbers / power series / Taylor series / approximation polynomials Fourier series: Trigonometric polynomials, Fourier polynomials and Fourier series.

Differential calculus for functions of several variables: Graphical representation / partial differentiation / derivatives of higher order / tangential plane / complete differential / extreme value analysis without and with secondary condition

Integral calculus for functions of several variables: Applications / Cartesian and polar coordinates / Cylindrical and spherical coordinates / Double and triple integrals / Applications / Mass and moment of inertia of an inhomogeneous body

Ordinary differential equations: Definitions / Equations of vibration /Separation of the variables / Inhomogeneous DGL 1st order / Linear DGL 2nd order with constant coefficients / free, attenuated, forced oscillation / resonance

Literature

Papula, L., Mathematik für Ingenieure und Naturwissenschaftler Band 1. Ein Lehr- und Arbeitsbuch für das Grundstudium, 14. Auflage, Wiesbaden, Springer Vieweg, 2014.

Papula, L., Mathematik für Ingenieure und Naturwissenschaftler Band 2. Ein Lehr- und Arbeitsbuch für das Grundstudium, 14. Auflage, Wiesbaden, Springer Vieweg, 2015.

Papula, L., Mathematische Formelsammlung für Ingenieure und Naturwissenschaftler, 10. Auflage, Wiesbaden, Vieweg + Teubner Verlag, 2009

Papula, L., Mathematik für Ingenieure und Naturwissenschaftler Klausur- und Übungsaufgaben, 4. Auflage, Wiesbaden, Vieweg + Teubner Verlag, 2010