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Applied Business Mathematics

Module name (EN):
Name of module in study programme. It should be precise and clear.
Applied Business Mathematics
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
International Business, Bachelor, ASPO 01.10.2020
Module code: IBB-140
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.
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.
6VU (6 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.
Semester: 1
Mandatory course: yes
Language of instruction:
Written exam (90 minutes / can be repeated semesterly)

[updated 25.11.2019]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

IBB-140 (P420-0229) International Business, Bachelor, ASPO 01.10.2020 , semester 1, mandatory course
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).
90 class hours (= 67.5 clock hours) over a 15-week period.
The total student study time is 150 hours (equivalent to 5 ECTS credits).
There are therefore 82.5 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
Recommended as prerequisite for:
IBB-230 Business Statistics
IBB-340 Microeconomics

[updated 04.02.2020]
Module coordinator:
Prof. Dr. Teresa Melo
Lecturer: Prof. Dr. Teresa Melo

[updated 25.11.2019]
Learning outcomes:
After successfully completing this module, students will be able:
- to explain the basic principles of differential calculus, linear algebra and linear programming,
- to describe, distinguish and apply basic concepts and methods of financial mathematics,
- to judge which of the mathematical methods they have learned is suitable for solving business mathematical problems,
- to model quantitative problems from economic and business administration contexts using the language of mathematics,
- to apply suitable mathematical methods to solve specific problems,
- to interpret and communicate the results obtained,
- to further develop their analytical skills by independently solving practical tasks in the subject area.

[updated 04.02.2020]
Module content:
- Review of functions of one variable and differentiation rules
- Applications of derivatives
- Functions of several variables
- Partial derivatives and economic interpretation
- Maxima/Minima problems
- Optimization under side conditions
- Business applications of calculus
Elements of financial mathematics:
- Interest rate models
- Annuities
- Cash flows
Fundamentals of linear algebra:
- Matrix operations
- Development of systems of linear equations
- Solving systems of linear equations (e.g. Gaussian elimination)
- Modeling business processes with matrices (e. g. production processes)
Linear programming:
- Formulation of a linear programming model
- Assumptions of linear programming
- Graphical solution procedure
- Formulating and solving linear programming models on a spreadsheet
- Business applications of linear programming

[updated 04.02.2020]
Teaching methods/Media:
Lectures supported by slides (projector) and blackboard (theory and example calculations). The lectures will be supplemented by exercises and tutorials. In order to support independent work, multiple exercise sheets covering the whole range of topics in this module will be provided. Solutions will be discussed with the students in the tutorials. Both the lecture notes and the exercise sheets will be available to students in electronic form.

[updated 04.02.2020]
Recommended or required reading:
Anderson, Sweeney, Williams, Camm, Cochran, Fry, Ohlmann: Quantitative Methods for Business, 13th edition, Cengage Learning, 2016
Hillier, Lieberman: Introduction to Operations Research, 10th edition, McGraw Hill Higher Education, 2015
OpenStax College: Calculus (Volumes 1, 2, and 3), OpenStax CNX,, 2019
OpenStax College: College Algebra, OpenStax CNX,, 2019
Sydsæter, Hammond, Strøm, Carvajal: Essential Mathematics for Economic Analysis, 5th edition, Prentice Hall, 2016
Sydsæter, Hammond, Seierstad, Strøm: Further Mathematics for Economic Analysis, 2nd edition, Prentice Hall, 2008

[updated 12.12.2019]
[Mon Jun 17 09:14:44 CEST 2024, CKEY=imt, BKEY=ibw4, CID=IBB-140, LANGUAGE=en, DATE=17.06.2024]