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Mathematics for Industrial Engineers 2

Module name (EN):
Name of module in study programme. It should be precise and clear.
Mathematics for Industrial Engineers 2
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Mechanical Engineering / Production Technology, Bachelor, ASPO 01.10.2021
Module code: DBMAB-120
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.
P720-0016
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.
-
ECTS credits:
European Credit Transfer System. Points for successful completion of a course. Each ECTS point represents a workload of 30 hours.
5
Academic Year: 1
Mandatory course: yes
Language of instruction:
German
Assessment:
Graded exam (Mathematics 2: Duration 120 min., 100 pts.)
This exam will be written in the 2nd semester (Block 2A) according to the examination schedule.
 
Prerequisites for receiving credits:
The achievement of at least 40 out of 100 points in the "Mathematics 2" exam.
The module grade corresponds to the student’s performance in the "Mathematics 2" exam and is shown as a decimal grade according to the htw saar grading scheme.


[updated 28.04.2023]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

DBMAB-120 (P720-0016) Mechanical Engineering / Production Technology, Bachelor, ASPO 01.10.2021 , study year 1, mandatory course
DBMAB-120 (P720-0016) Mechanical Engineering / Production Technology, Bachelor, ASPO 01.10.2024 , study year 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).
The total student study time for this course is 150 hours.
Recommended prerequisites (modules):
DBMAB-110 Mathematics for Industrial Engineers 1


[updated 13.03.2023]
Recommended as prerequisite for:
Module coordinator:
Prof. Dr.-Ing. Jan Christoph Gaukler
Lecturer: Prof. Dr.-Ing. Jan Christoph Gaukler

[updated 11.06.2021]
Learning outcomes:
 
After successfully completing this module, students will be familiar with mathematical computational techniques and be able to apply them to individual mathematical problems. These calculation techniques will also be applied to examples from physics and technology. Students will be able to apply second-order linear differential equations in vibration theory. They will be able to apply the chain rule in forming partial derivatives of functions in several variables and calculate partial derivatives - even for implicit functions. Students will have mastered the arithmetic operations of matrices and be able to apply arithmetic rules for determinants. They will be able to solve linear systems of equations according to the Gaussian algorithm.
 
 

[updated 28.04.2023]
Module content:
 
• Second-order linear differential equations and their application in vibration theory
• Functions in several variables: partial derivative, partial and complete differential, chain rule, derivative of implicit functions, extrema
• Matrices and determinants: Matrices, arithmetic operations with matrices, rank of a matrix, inverse matrix, determinants, arithmetic rules for determinants
• Linear systems of equations and the Gaussian algorithm

[updated 28.04.2023]
Teaching methods/Media:
Lecture: Lecture, demonstration, group work on concrete problems
Exercises: Group work on concrete problems

[updated 28.04.2023]
Recommended or required reading:
 
• L. Papula: Mathematik für Ingenieure und Naturwissenschaftler Band 1, Springer Vieweg Wiesbaden
• L. Papula: Mathematik für Ingenieure und Naturwissenschaftler Band 2, Springer Vieweg Wiesbaden

[updated 28.04.2023]
 
[Thu May  2 17:53:39 CEST 2024, CKEY=am2m, BKEY=aswmpt, CID=DBMAB-120, LANGUAGE=en, DATE=02.05.2024]