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Engineering Mathematics II

Module name (EN):
Name of module in study programme. It should be precise and clear.
Engineering Mathematics II
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Mechanical and Process Engineering, Bachelor, ASPO 01.10.2004
Module code: MAB-2.1
Hours per semester week / Teaching method:
The count of hours per week is a combination of lecture (V for German Vorlesung), exercise (U for Übung), practice (P) oder project (PA). For example a course of the form 2V+2U has 2 hours of lecture and 2 hours of exercise per week.
4V (4 hours per week)
ECTS credits:
European Credit Transfer System. Points for successful completion of a course. Each ECTS point represents a workload of 30 hours.
5
Semester: 2
Mandatory course: yes
Language of instruction:
German
Assessment:
Written examination

[updated 12.09.2004]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

MAB-2.1 Mechanical and Process Engineering, Bachelor, ASPO 01.10.2004 , semester 2, mandatory course
Workload:
Workload of student for successfully completing the course. Each ECTS credit represents 30 working hours. These are the combined effort of face-to-face time, post-processing the subject of the lecture, exercises and preparation for the exam.

The total workload is distributed on the semester (01.04.-30.09. during the summer term, 01.10.-31.03. during the winter term).
60 class hours (= 45 clock hours) over a 15-week period.
The total student study time is 150 hours (equivalent to 5 ECTS credits).
There are therefore 105 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
None.
Recommended as prerequisite for:
Module coordinator:
Prof. Dr.-Ing. Helge Frick
Lecturer: Prof. Dr.-Ing. Helge Frick

[updated 18.06.2004]
Learning outcomes:
This module aims to teach further aspects of the mathematical fundamentals of mechanical and process engineering. The content of the course is aligned closely with the material dealt with in the lectures Electrical Engineering, Strength of Materials I and II, Engineering Mechanics II and Automation Technology. The fundamentals and basic terminology of statistics will also be addressed in this course.

[updated 12.09.2004]
Module content:
1. Laplace transformations
2. Complex numbers and functions
3. Mapping and coordinate systems
4. Second-order curves and surfaces
5. Eigenvalues and eigenvectors of matrices
6. Multivariate functions
7. Differential geometry (arcs and lengths of curves, curvature, plane curves, three-dimensional curves)
8. Vector analysis (scalar and vector fields: gradient, divergence, rotation)
9. Introduction to statistics

[updated 12.09.2004]
Teaching methods/Media:
Lectures, problem-solving sessions

[updated 15.08.2012]
Recommended or required reading:
BRAUCH/DREYER/HAACKE, Mathematik für Ingenieure, Teubner
PAPULA L., Mathematik für Ingenieure und Naturwissenschaftler Band 2+3, Vieweg
BARTSCH H.-J., Taschenbuch Mathematischer Formeln, Fachbuchverlag Leipzig

[updated 12.09.2004]
 
[Sun Jun  8 06:16:59 CEST 2025, CKEY=miia, BKEY=m1, CID=MAB-2.1, LANGUAGE=en, DATE=08.06.2025]