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Engineering Mathematics I

Module name (EN): Engineering Mathematics I
Degree programme: Automotive Engineering, Bachelor, ASPO 01.04.2016
Module code: FT01
Hours per semester week / Teaching method: 6V+2U (8 hours per week)
ECTS credits: 8
Semester: 1
Mandatory course: yes
Language of instruction:
Written exam 120 min.

[updated 30.09.2020]
Applicability / Curricular relevance:
FT01 Automotive Engineering, Bachelor, ASPO 01.10.2011, semester 1, mandatory course
FT01 Automotive Engineering, Bachelor, ASPO 01.10.2015, semester 1, mandatory course
FT01 Automotive Engineering, Bachelor, ASPO 01.04.2016, semester 1, mandatory course
FT01 Automotive Engineering, Bachelor, ASPO 01.10.2019, semester 1, mandatory course
MAB.1.1.MAT1 Mechanical and Process Engineering, Bachelor, ASPO 01.10.2013, semester 1, mandatory course
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):
Recommended as prerequisite for:
FT05 Engineering Mathematics II
FT15 Engineering Mathematics III

[updated 14.07.2015]
Module coordinator:
Prof. Dr. Marco Günther
Dipl.-Math. Christian Leger

[updated 26.01.2016]
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]
[Sat Dec  4 03:20:34 CET 2021, CKEY=mmgui, BKEY=fz3, CID=FT01, LANGUAGE=en, DATE=04.12.2021]