Mathematics for Mechanical Engineering

Faculty

Faculty of Engineering and Computer Science

Version

Version 1 of 15.02.2026.

Module identifier

11B1530

Module level

Bachelor

Language of instruction

German

ECTS credit points and grading

7.5

Module frequency

winter and summer term

Duration

1 semester

 

 

Brief description

Tasks in mechanical engineering are modeled using mathematical methods. The mechanical engineer must create the mathematical models, calculate solutions within the respective model and check the practical relevance of the solutions. Based on the module "Fundamentals of Applied Mathematics", the lecture provides the mathematical tools for this.

Teaching and learning outcomes

  1. Integral calculus of functions of one variable
  2. Power series
  3. Complex numbers and functions
  4. Ordinary differential equations
  5. Functions of several variables

Overall workload

The total workload for the module is 225 hours (see also "ECTS credit points and grading").

Teaching and learning methods
Lecturer based learning
Workload hoursType of teachingMedia implementationConcretization
90LecturePresence-
30PracticePresence-
Lecturer independent learning
Workload hoursType of teachingMedia implementationConcretization
35Preparation/follow-up for course work-
45Exam preparation-
25Work in small groups-
Graded examination
  • Written examination
Remark on the assessment methods

written exam

Exam duration and scope

see respective valid study regulations

Recommended prior knowledge

Fundamentals of Applied Mathematics

Knowledge Broadening

Students have a sound knowledge of advanced methods of engineering mathematics and their applications in engineering. They can differentiate between the areas of application.

Knowledge deepening

Students understand the mathematical procedures they have learned in their 
methodological context and are able to break down complex solution methods into individual 
steps and combine them in a structured way to form an overall solution. They can recognize the relevance of the methods for engineering tasks.

Knowledge Understanding

Students can analyze and classify standard mathematical methods in engineering 
and computer science. They can describe simple subject-specific problems using mathematical methods and solve them in a problem-oriented manner.

Literature

  • Papula, Lothar (2018): Papula, Lothar: Mathematik für Ingenieure und Naturwissenschaftler (Band 1). 15., überarbeitete Auflage. Wiesbaden, Vieweg + Teubner.
  • Papula, Lothar (2015): Papula, Lothar: Mathematik für Ingenieure und Naturwissenschaftler (Band 2).  
    14., überarb. und erw. Aufl.. Wiesbaden, Vieweg + Teubner.
  • Rie?inger, Thomas (2017): Mathematik für Ingenieure,  10., erg?nzte Auflage. Berlin, Springer Vieweg.
  • Brauch, Wolfgang & Dreyer, Hans-Joachim & Haacke, Wolfhart (2006): Mathematik für Ingenieure, 10., erg?nzte Auflage. Berlin, Springer Vieweg.
  • Zeidler, Eberhard (Hrsg.) (2013): Springer-Taschenbuch der Mathematik,  
    3., neu bearb. und erw. Auflage. Wiesbaden, Springer Spektrum.

Applicability in study programs

  • Bachelor of Vocational Education - Automotive Engineering
    • Bachelor of Vocational Education - Automotive Engineering B.Sc. (01.09.2025)

  • Mechanical Engineering (Bachelor)
    • Mechanical Engineering B.Sc. (01.09.2025)

  • Mechanical Engineering in Practical Networks
    • Mechanical Engineering in Practical Networks B.Sc. (01.03.2026)

  • Bachelor of Vocational Education - Metals Engineering
    • Bachelor of Vocational Education - Metals Engineering B.Sc. (01.09.2025)

  • Aircraft and Flight Engineering
    • Aircraft and Flight Engineering B.Sc. (01.09.2025)

  • Automotive Engineering (Bachelor)
    • Automotive Engineering B.Sc. (01.09.2025)

    Person responsible for the module
    • Stelzle, Wolfgang
    Teachers
    • Stelzle, Wolfgang
    • Büscher, Mareike
    • Lenz, Sandra
    • Niemeyer, Philip
    • Beermann, Mareen