Module Handbook

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Module MAT-14-02-M-3

Modelling in Business Mathematics (M, 16.0 LP)

Module Identification

Module Number Module Name CP (Effort)
MAT-14-02-M-3 Modelling in Business Mathematics 16.0 CP (480 h)

Basedata

CP, Effort 16.0 CP = 480 h
Position of the semester 3 Sem. from WiSe/SuSe
Level [3] Bachelor (Core)
Language [DE] German
Module Manager
Krumke, Sven Oliver, Prof. Dr. (PROF | DEPT: MAT)
Ruzika, Stefan, Prof. Dr. (PROF | DEPT: MAT)
Sass, Jörn, Prof. Dr. (PROF | DEPT: MAT)
Lecturers
Lecturers of the department Mathematics
Area of study [MAT-GRU] Mathematics (B.Sc. year 1 and 2)
Reference course of study [MAT-82.276-SG] B.Sc. Business Mathematics
Livecycle-State [NORM] Active

Courses

Type/SWS Course Number Title Choice in
Module-Part 		Presence-Time /
Self-Study 		SL SL is
required for exa. 		PL CP Sem.
2V MAT-14-00W-K-2
Introduction to Scientific Programming (MATLAB)
P 28 h 62 h
U-Schein
- no 3.0 WiSe/SuSe
2S+1L MAT-14-02-K-3
Proseminar Modelling in Business Mathematics (with Project)
P 42 h 108 h
PS-Schein
- no 5.0 WiSe/SuSe
2L MAT-14-13P-K-3
Practical Course Linear and Network Programming
P 28 h 92 h
L-Schein
- no 4.0 SuSe
2L MAT-14-14P-K-3
Practical Course Stochastic Methods
P 28 h 92 h
L-Schein
- no 4.0 WiSe
  • About [MAT-14-00W-K-2]: Title: "Introduction to Scientific Programming (MATLAB)"; Presence-Time: 28 h; Self-Study: 62 h
  • About [MAT-14-00W-K-2]: The study achievement [U-Schein] proof of successful participation in the exercise classes (ungraded) must be obtained.
  • About [MAT-14-02-K-3]: Title: "Proseminar Modelling in Business Mathematics (with Project)"; Presence-Time: 42 h; Self-Study: 108 h
  • About [MAT-14-02-K-3]: The study achievement [PS-Schein] proof of successful participation in the proseminar must be obtained.
  • About [MAT-14-13P-K-3]: Title: "Practical Course Linear and Network Programming"; Presence-Time: 28 h; Self-Study: 92 h
  • About [MAT-14-13P-K-3]: The study achievement [L-Schein] proof of successful participation in the practical course / lab must be obtained.
  • About [MAT-14-14P-K-3]: Title: "Practical Course Stochastic Methods"; Presence-Time: 28 h; Self-Study: 92 h
  • About [MAT-14-14P-K-3]: The study achievement [L-Schein] proof of successful participation in the practical course / lab must be obtained.

Evaluation of grades

The module is not graded.


Contents

Theoretical and practical fundamentals of mathematical modelling and model building for questions in the field of economics and the business sciences.

Of these, the courses include

  • [MAT-14-00W-K-2] Introduction to Scientific Programming (MATLAB): Learning of a modern programming language based on mathematical problems.
  • [MAT-14-02-K-3] Proseminar Modelling in Business Mathematics (with Project): Proseminar in a field of business mathematics, exemplary presentation of the modelling cycle on the basis of specific problems in the field of economics and the business sciences.
  • [MAT-14-13P-K-3] Practical Course Linear and Network Programming, [MAT-14-14P-K-3] Practical Course Stochastic Methods: Solving mathematical problems by implementing algorithms on the computer. One of the programming projects should start from a modelling question.

Implementation of algorithms of practical mathematics by means of higher programming languages and special mathematical software packages.

Competencies / intended learning achievements

Upon successful completion of this model, the students are able to independently deal with partial aspects of exemplary application problems from industry and business; this concerns in particular the choice of the mathematical model, the selection of suitable solution methods and the interpretation of the results.

By participating in the programming course, the students are familiarised with the MATLAB programming language, building on the programming skills acquired in the module [INF-02-01-M-2].

By participating in the proseminar [MAT-14-02-K-3], the students have learned to independently work on a business mathematics topic and to present it in a suitable form. They know the basic principles of mathematical modelling and have learned (as preparation for the module [MAT-25-10W-M-4] Practical Training Business Mathematics) how to work in a team to develop initial solutions for application problems in industry and business. They have realised how the concepts learned in the module [MAT-10-1-M-2] such as norm, vector space, sequences and series, continuity, differentiability, and extreme values can be applied in an application-related context.

In the two programming lab classes, the students have learned how mathematical problems can be solved by implementing algorithms on the computer.

Literature

The literature will be announced in the courses or made available for download.

Materials

Exercise materials will be provided.

Registration

Registration for the exercise, the proseminar, and the lab classes via the online administration system URM (https://urm.mathematik.uni-kl.de)

Requirements for attendance (informal)

Fundamental knowledge of mathematics as taught, for example, in the courses [MAT-10-11A-K-2] Fundamentals of Mathematics I: Analysis and [MAT-10-11B-K-2] Fundamentals of Mathematics I: Linear Algebra (for participation in the course [MAT-14-00W-K-2]), resp. additionally [MAT-10-12-K-2] Fundamentals of Mathematics II for the other courses.

Requirements for attendance (formal)

Prerequisite for participation in the programming lab courses is (parallel or previous) participation in the respective module [MAT-14-13-M-3] Linear and Network Programming resp. [MAT-14-14-M-3] Stochastic Methods; for participation in the course [MAT-14-02-K-3], the proofs of successful participation in the exercise classes (Übungsscheine) of the module [MAT-10-1-M-2] may be required.

References to Module / Module Number [MAT-14-02-M-3]

Course of Study Section Choice/Obligation
[MAT-82.276-SG] B.Sc. Business Mathematics Computer Science and Computational Methods [P] Compulsory