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Mathematics for Industrial Engineers 1

Module name (EN):
Name of module in study programme. It should be precise and clear.
Mathematics for Industrial Engineers 1
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-110
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.
P720-0015
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 1: Duration 120 min., 100 pts.)
This exam will be written in the 1st semester (Block 1B) according to the examination schedule.
 
Prerequisites for receiving credits:
Achievement of at least 40 out of 100 points in the "Mathematics 1" exam.
The module grade corresponds to the student’s performance in the "Mathematics 1" 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-110 (P720-0015) Mechanical Engineering / Production Technology, Bachelor, ASPO 01.10.2021 , study year 1, mandatory course
DBMAB-110 (P720-0015) 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):
None.
Recommended as prerequisite for:
DBMAB-120 Mathematics for Industrial Engineers 2


[updated 13.03.2023]
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 able to apply mathematical calculation techniques to individual mathematical problems. We will also look at examples of applications in physics and technology. Students understand the concepts of limit and continuity. They will be familiar with the basics of differential calculus and be able to apply derivative rules to functions in one variable. Students will be able to use the rule of Bernoulli and de l’Hôpital to calculate limits. They will understand the basic principles of integral calculus and be able to use integration techniques to integrate functions in one variable. In addition, students will be familiar with the field of ordinary differential equations and be able to apply it to first order linear differential equations with constant coefficients.
 
 

[updated 28.04.2023]
Module content:
 
- Function, limits, calculation rules for limits, continuity of a function
• Differential calculus: Basics, derivation rules, applications of differential calculus (monotonicity of functions, curvature of a plane curve, extreme values, points of inflection, Bernoulli and de l’Hôpital’s rule, kinematics)
• Integral calculus in a variable: indefinite integral, definite integral, fundamental theorem of differential and integral calculus, integration techniques, application examples
- Ordinary differential equations: first order linear differential equations with constant coefficients, examples of application

[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 Nov 21 13:54:33 CET 2024, CKEY=am1m, BKEY=aswmpt, CID=DBMAB-110, LANGUAGE=en, DATE=21.11.2024]