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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.
Automotive Engineering, Bachelor, ASPO 01.10.2019
Module code: FT05
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.
P242-0064, P242-0065
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+1U (5 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.
6
Semester: 2
Mandatory course: yes
Language of instruction:
German
Assessment:
Written exam 120 min.

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

FT05 (P242-0064, P242-0065) Automotive Engineering, Bachelor, ASPO 01.10.2011 , semester 2, mandatory course
FT05 (P242-0064, P242-0065) Automotive Engineering, Bachelor, ASPO 01.10.2015 , semester 2, mandatory course
FT05 (P242-0064, P242-0065) Automotive Engineering, Bachelor, ASPO 01.04.2016 , semester 2, mandatory course
FT05 (P242-0064, P242-0065) Automotive Engineering, Bachelor, ASPO 01.10.2019 , semester 2, mandatory course
MAB.2.1.MAT2 (P241-0163, P241-0164) Mechanical and Process Engineering, Bachelor, ASPO 01.10.2013 , 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).
75 class hours (= 56.25 clock hours) over a 15-week period.
The total student study time is 180 hours (equivalent to 6 ECTS credits).
There are therefore 123.75 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
FT01 Engineering Mathematics I


[updated 10.03.2020]
Recommended as prerequisite for:
FT15 Engineering Mathematics III


[updated 10.03.2020]
Module coordinator:
Prof. Dr. Marco Günther
Lecturer:
Dipl.-Math. Christian Leger


[updated 10.03.2020]
Learning outcomes:
After successfully completing this module, students will:
- be able to calculate with complex functions
- be familiar with the basics of the Fourier transform and know how to use the Laplace transform
- understand the importance and use of images and coordinate systems
- be able to calculate determinants, eigenvalues and eigenvectors of matrices
- be able to calculate the derivatives and integrals of functions with multiple variables


[updated 30.09.2020]
Module content:
- Determinants
- Complex functions, Fourier and Laplace transforms
- Images and coordinate systems
- Eigenwerte and eigenvectors of matrices
- 2nd order curves and surfaces
- Arc length, curvature, plane curves, space curves
- Differential and integral calculus for functions with multiple variables


[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]
 
[Tue Dec  3 18:23:47 CET 2024, CKEY=miib, BKEY=fz4, CID=FT05, LANGUAGE=en, DATE=03.12.2024]