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Mathematics for Industrial Engineers 3

Module name (EN):
Name of module in study programme. It should be precise and clear.
Mathematics for Industrial Engineers 3
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Industrial Engineering / Production Management, Bachelor, ASPO 01.10.2022
Module code: DBWI-210
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.
P740-0018
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: 3
Mandatory course: yes
Language of instruction:
German
Assessment:
 
Graded exam (Duration 120 min., 100 pts.)
The exam will be written in the 3rd Semester (Block 3A) written according to exam schedule (Wirtschaftsingenieurwesen/Produktionsmanagement, Bachelor, ASPO October 1, 2021).
This exam will be written in the 5th semester (block 5A) in accordance with the examination schedule (Wirtschaftsingenieurwesen/Produktionsmanagement, Bachelor, ASPO October 1, 2022).
 
Distribution:
- 40 pts. (48 min) for “Mathematik-3” (Mathematics-3)
- 60 pts. (72 min) for “Stochastik” (Stochastic)
 
Prerequisites for receiving credits:
The achievement of at least 40 out of 100 points in the module exam.
The grade corresponds to the student’s performance in the module exam and is shown as a decimal grade according to the htw saar grading scheme.


[updated 08.04.2025]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

DBWI-210 (P740-0018) Industrial Engineering / Production Management, Bachelor, ASPO 01.10.2022 , study year 3, mandatory course
DBWI-210 (P740-0018) Industrial Engineering / Production Management, Bachelor, ASPO 01.10.2021 , study year 2, 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):
None.
Recommended as prerequisite for:
Module coordinator:
Prof. Dr.-Ing. Jan Christoph Gaukler
Lecturer: Prof. Dr.-Ing. Jan Christoph Gaukler

[updated 24.01.2023]
Learning outcomes:
 
After successfully completing this module, students will be familiar with mathematical calculation techniques that they can apply to individual mathematical problems as well as to problems in physics and technology. They will be able to perform arithmetic operations with vectors. They will be able to determine the position of points, lines and planes in relation to one another. Students will be familiar with complex numbers and functions and will be able to convert complex numbers into different forms of representation. They will be able to perform complex calculations and apply their knowledge to represent harmonic oscillations.
 
Students will be able to independently solve statistical problems from the field of economics. They will be able to process and graphically display larger amounts of data, as well as analyze and interpret results. They will be able to analyze and critically question presented statistics and the results of their evaluation. They will have mastered the fundamentals of probability theory and be able to use suitable statistical estimation methods to draw conclusions from a sample about the parent population.
 
  

[updated 08.04.2025]
Module content:
 
Contents of lectures and tutorials for Mathematics for Industrial Engineers 3:
• Vector calculus:
  o Vector operations
  o Dot, cross and triple product
  o Linearly independent vectors
  o Examples of applications
• Applications of vector calculus in geometry:
  o Representing a straight line
  o Representing a plane
  o The position of points, lines and planes in relation to one another
• Complex numbers and functions:
  o Definition
  o Forms of representation
  o Complex calculations
  o Harmonic oscillations
 
Contents of lectures and tutorials for Stochastic:
• Descriptive statistics
  o Classification and presentation of data
  o Average values
  o Measures of variability around the arithmetic mean
  o Measures of variability around the median
  o Other measures of variability: range and geometric standard deviation
  o Index numbers
  o Correlation and Regression
  o Time series analysis
• Probability theory and combinatorics
  o Basics
  o Random variables
  o Limit theorems
• Introduction to Inductive Statistics: From Sample to Population
  o Point estimate
  o Interval estimate


[updated 08.04.2025]
Teaching methods/Media:
Lecture: Lecture, demonstration, working on specific problems in groups.
Exercises: Group work on concrete problems


[updated 08.04.2025]
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
• G. Bamberg, F. Baur, M. Krapp: Statistik, München, Oldenbourg
• G. Bamberg, F. Baur: Statistik-Arbeitsbuch. Übungsaufgaben, Fallstudien, Lösungen, München (u.a.), Oldenbourg
• G. Fischer: Stochastik einmal anders. Parallel geschrieben mit Beispielen und Fakten, vertieft durch Erläuterungen, Wiesbaden, Vieweg


[updated 08.04.2025]
 
[Sat Apr 19 12:03:31 CEST 2025, CKEY=amfw3, BKEY=aswwing, CID=DBWI-210, LANGUAGE=en, DATE=19.04.2025]