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Engineering Mathematics I

Module name (EN): Engineering Mathematics I
Degree programme: Automotive Engineering, Bachelor, ASPO 01.10.2011
Module code: FT01
SAP-Submodule-No.: P242-0062, P242-0063
Hours per semester week / Teaching method: 6V+2U (8 hours per week)
ECTS credits: 8
Semester: 1
Mandatory course: yes
Language of instruction:
German
Assessment:
Written exam 120 min.

[updated 30.09.2020]
Applicability / Curricular relevance:
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:
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
FT09
FT17 Automotive Engineering I
FT22
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 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]
[Sun Jul  3 12:57:51 CEST 2022, CKEY=mmgui, BKEY=fz, CID=FT01, LANGUAGE=en, DATE=03.07.2022]