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Mathematics 1

Module name (EN):
Name of module in study programme. It should be precise and clear.
Mathematics 1
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Digital Business and IT, Bachelor, ASPO 01.10.2023
Module code: WINF-B23-140
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.
P460-0004
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.
2V+2U (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: 1
Mandatory course: yes
Language of instruction:
German
Assessment:
 


[updated 16.11.2023]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

WINF-B23-140 (P460-0004) Digital Business and IT, Bachelor, ASPO 01.10.2023 , semester 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).
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. Susan Pulham
Lecturer:
Nane Neu


[updated 19.09.2023]
Learning outcomes:
After successfully completing this module, students will be able to mathematically model technical and business-related problems. They will be able to apply the mathematical techniques of differentiation and integration in one variable to given functions (abstract questions) and to concrete commercial and technical questions. They will be able to construct linear systems of equations from verbal problems and solve them. Students will be able to derive linear optimization models from verbal problems and solve them graphically. They will be able to give examples of applications for mathematical methods from the aviation industry.
They will have improved their collaboration skills by working on the mathematical material in learning teams according to the didactic concept of learning team coaching during the semester and by working on and presenting exercises.
The presentations help students improve their communication skills. They will have improved their reflection skills in feedback discussions with fellow students and the teacher. Students will have improved their self-organization skills by working according to the inverted classroom concept.

[updated 16.11.2023]
Module content:
1. Basic arithmetic techniques (quadratic equations, power, root and logarithm laws, complete induction)
2. Differential calculus and its applications
3. Integral calculus and its applications
4. Sequences
5. Series
6. Financial mathematics
7. Vectors and matrices
8. Linear optimization


[updated 16.11.2023]
Teaching methods/Media:
Seminar (Lernteamcoaching), exercises, lecture notes, Lernvideos

[updated 16.11.2023]
Recommended or required reading:
- Papula, L.: Mathematik für Ingenieure, SpringerVieweg Verlag
- Pulham, S.: Wirtschaftsmathematik, Gabler Verlag
- Tietze, J.: Wirtschaftsmathematik, Vieweg Verlag
Always the latest edition.

[updated 16.11.2023]
[Sat Nov 23 09:20:47 CET 2024, CKEY=wm1a, BKEY=winf, CID=WINF-B23-140, LANGUAGE=en, DATE=23.11.2024]