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Engineering Mathematics III

Module name (EN):
Name of module in study programme. It should be precise and clear.
Engineering Mathematics III
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Automotive Engineering, Bachelor, ASPO 01.10.2011
Module code: FT15
SAP-Submodule-No.:
The exam administration creates a SAP-Submodule-No for every exam type in every module. The SAP-Submodule-No is equal for the same module in different study programs.
P242-0066
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.
2V (2 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.
2
Semester: 3
Mandatory course: yes
Language of instruction:
German
Assessment:
Written exam 60 min.

[updated 30.09.2020]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

FT15 (P242-0066) Automotive Engineering, Bachelor, ASPO 01.10.2011 , semester 3, mandatory course
FT15 (P242-0066) Automotive Engineering, Bachelor, ASPO 01.10.2015 , semester 3, mandatory course
FT15 (P242-0066) Automotive Engineering, Bachelor, ASPO 01.04.2016 , semester 3, mandatory course
FT15 (P242-0066) Automotive Engineering, Bachelor, ASPO 01.10.2019 , semester 3, mandatory course
MAB.3.4.MAT3 (P242-0066) Mechanical and Process Engineering, Bachelor, ASPO 01.10.2013 , semester 3, 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).
30 class hours (= 22.5 clock hours) over a 15-week period.
The total student study time is 60 hours (equivalent to 2 ECTS credits).
There are therefore 37.5 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
FT05 Engineering Mathematics II


[updated 02.06.2013]
Recommended as prerequisite for:
FT22 Automotive Engineering II
FT23 Business Economics
FT24


[updated 21.02.2017]
Module coordinator:
Prof. Dr. Marco Günther
Lecturer: Prof. Dr. Marco Günther

[updated 20.05.2011]
Learning outcomes:
After successfully completing this module, students will:
- have mastered the basics of differential geometry and vector analysis
- be able to handle scalar and vector fields and apply different operators to them
- be able to calculate integrals over curves, surfaces and volumes
- understand and be able to apply the basic concepts of statistics


[updated 30.09.2020]
Module content:
- Differential geometry
- Vector analysis
- Scalar and vector fields in different coordinate systems,
- Divergence, rotation, potential,
- Line, surface, volume integrals
- Introduction to statistics


[updated 30.09.2020]
Teaching methods/Media:
Lecture, exercises

[updated 30.09.2020]
Recommended or required reading:
- Papula, Mathematik für Ingenieure und Naturwissenschaftler, Band 2+3.
- Bartsch, Taschenbuch mathematischer Formeln.
Additional literature will be announced in the lecture.

[updated 30.09.2020]
 
[Fri Oct 31 06:58:28 CET 2025, CKEY=miic, BKEY=fz, CID=FT15, LANGUAGE=en, DATE=31.10.2025]