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Mathematics 3 and Programming

Module name (EN):
Name of module in study programme. It should be precise and clear.
Mathematics 3 and Programming
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Mechanical Engineering, Bachelor, ASPO 01.10.2024
Module code: MEB_24_A_3.01.MA3
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 (4 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.
5
Semester: 3
Mandatory course: yes
Language of instruction:
English
Assessment:
written exam 120 min

[updated 13.11.2023]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

MEB_24_A_3.01.MA3 Mechanical Engineering, Bachelor, ASPO 01.10.2024 , semester 3, 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).
60 class hours (= 45 clock hours) over a 15-week period.
The total student study time is 150 hours (equivalent to 5 ECTS credits).
There are therefore 105 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
None.
Recommended as prerequisite for:
Module coordinator:
Prof. Dr. Marco Günther
Lecturer: Prof. Dr. Marco Günther

[updated 10.10.2023]
Learning outcomes:
After successfully completing this module, students will be familiar with the basics of curve and surface theory and can apply the calculation methods covered in the course. They will understand the concepts of vector analysis and can apply them in connection with line, surface and volume integrals, e.g. for higher thermodynamics and fluid mechanics. Students will have experience in dealing with ordinary differential equations, as well as Laplace transforms with respect to control and regulation applications. They will understand the basic concepts of statistics and be able to make simple evaluations. Students will be able to solve simple mathematical problems with a mathematics tool and implement simple algorithms.

[updated 15.01.2024]
Module content:
Introduction to surfaces, differential geometry, vector analysis (scalar, vector fields, coordinate systems, divergence, rotation, potential functions, line and surface integrals, volume integrals), ordinary differential equations, the Laplace transform, introduction to statistics, introduction to programming and basic programming techniques

[updated 15.01.2024]
Teaching methods/Media:
Lecture, exercises in the lecture, self-study exercises; Blackboard, handouts, transparencies, exercises

[updated 15.01.2024]
Recommended or required reading:
- Bartsch H.-J.: Taschenbuch Mathematischer Formeln Taschenbuch mathematischer Formeln für Ingenieure und Naturwissenschaftler L. Papula: Mathematik für Ingenieure und Naturwissenschaftler, Band 3 J.Koch, M.Stämpfle: Mathematik für das Ingenieurstudium M. Sachs: Wahrscheinlichkeitsrechnung und Statistik

[updated 15.01.2024]
 
[Sun Jul 28 00:33:47 CEST 2024, CKEY=mm3ap, BKEY=meb, CID=MEB_24_A_3.01.MA3, LANGUAGE=en, DATE=28.07.2024]