Module Guide

Mechatronik plus (MK-plus)

Mathematics I

Recommended prior knowledge

High school degree in mathematics

Teaching Methods Lecture/Tutorial
Learning objectives / competencies

After successfully visiting this module the students 

have knowledge and can apply methods for describing the three-dimensional space with the help of the vector and matrix calculus,

can describe problems and phenomena by means of mathematical functions, their characteristics and can calculate limit values of functions, 

and have developed an understanding of how the differential and integral calculus are used to solve a wide range of problems in the field of natural sciences.

Duration 1
SWS 8.0
Effort
Classes 90 h
Self-study / group work: 90 h
Workload 180 h
ECTS 6.0
Requirements for awarding credit points

K90+PA

Recommended Semester 1
Frequency Annually (ws)
Usability

Bachelor Mechatronics plus

Lectures

Mathematik I

Type Vorlesung/Übung
Nr. EMI301
SWS 6.0
Lecture Content

Linear algebra:  vector and matrix calculus / linear equations / determinants

Analytical geometry: scalar product / angle calculation / normalized and projected vectors / cross product / line and plane representation in 3D / Distances and intersections of points, lines, planes / approximation of overdetermined equation systems

Functions and curves: Describe, invert, concatenate functions / polynomials / interpolation / fractional-rational, power, root, trigonometric, arc, exponential, logarithm, hyperbola, area functions

Differential calculus of functions of a variable: numbers / limits / continuity / differentiability / derivations and derivation rules / function graphs / extreme values

Integral calculation of functions of a variable: master functions / area / integration rules and methods / numerical integration / applications

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