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Engineering Mathematics I

Module name (EN):
Name of module in study programme. It should be precise and clear.
Engineering Mathematics I
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Automotive Engineering, Bachelor, ASPO 01.10.2019
Module code: FT01
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.
P242-0062, P242-0063
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.
6V+2U (8 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.
8
Semester: 1
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.

FT01 (P242-0062, P242-0063) Automotive Engineering, Bachelor, ASPO 01.10.2011 , semester 1, mandatory course
FT01 (P242-0062, P242-0063) Automotive Engineering, Bachelor, ASPO 01.10.2015 , semester 1, mandatory course
FT01 (P242-0062, P242-0063) Automotive Engineering, Bachelor, ASPO 01.04.2016 , semester 1, mandatory course
FT01 (P242-0062, P242-0063) Automotive Engineering, Bachelor, ASPO 01.10.2019 , semester 1, mandatory course
MAB.1.1.MAT1 (P241-0182, P241-0183) Mechanical and Process Engineering, Bachelor, ASPO 01.10.2013 , semester 1, 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).
120 class hours (= 90 clock hours) over a 15-week period.
The total student study time is 240 hours (equivalent to 8 ECTS credits).
There are therefore 150 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
None.
Recommended as prerequisite for:
FT05 Engineering Mathematics II
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 course, students will:
- be familiar with the basics of vector calculus and calculating with complex numbers.
- be able to handle sequences and series, as well as elementary functions.
- understand the meaning of the term "limit".
- have mastered the differentiation and integration of functions with a variable.
- know what an ordinary differential equation is and be familiar with basic solution methods.
- be able to solve linear systems of equations.


[updated 30.09.2020]
Module content:
- Vector calculation in the plane and space
- Introduction to and calculation with complex numbers
- Elementary functions (e.g., fully rational, fractional rational, trigonometric functions, exponential functions)
- Differential and integral calculus with applications
- Sequences and series
- Fourier, Taylor series
- Ordinary differential equations
- Linear systems of equations
- Matrices


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

[updated 30.09.2020]
Recommended or required reading:
- Papula, Mathematik für Ingenieure und Naturwissenschaftler, Band 1+2
- Bartsch, Taschenbuch mathematischer Formeln
Additional literature will be announced in the lecture.

[updated 30.09.2020]
[Tue Feb 27 19:14:09 CET 2024, CKEY=mmgui, BKEY=fz4, CID=FT01, LANGUAGE=en, DATE=27.02.2024]