Business Mathematics
- Fakult?t
Fakult?t Wirtschafts- und Sozialwissenschaften (WiSo)
- Version
Version 1 vom 06.12.2023.
- Modulkennung
22B0923
- Niveaustufe
Bachelor
- Unterrichtssprache
Englisch
- ECTS-Leistungspunkte und Benotung
5.0
- H?ufigkeit des Angebots des Moduls
nur Wintersemester
- Dauer des Moduls
1 Semester
- Kurzbeschreibung
This module applies important formal and quantitative methods from Business Mathematics to economic topics.
- Lehr-Lerninhalte
1. Financial mathematics 1.1 Successions and series 1.2 Compound computation of interest 1.3 Annuity computation 1.4 Amortisation computation 1.5 Leasing 2. Differential calculus I 2.1 Introduction 2.2 Determination of extreme values 2.3 Economic applications 2.3.1 Profit maximisation 2.3.2 Law of diminishing returns 2.3.3 Least cost combination 2.3.4 Production maximisation 2.3.5 Cost functions 2.3.6 Economic order quantity 2.4 Elasticities 3. Differential calculus II 3.1 Partial derivatives 3.2 Partial elasticities 3.2 Homogeneity 3.3 Cobb-Douglas production functions 3.3 Restrictive extreme values 3.3.1 Lagrangian method 3.3.2 Economic applications 4. Linear algebra 4.1 Linear system of equations 4.2 Economic applications 4.2.1 Markov chains 4.2.2 Input-output analysis 4.2.3 Multi-stage production processes 5. An aside: Linear optimisation 5.1 Setting the task 5.2 Simplex algorithm 5.3.A selected problem from discrete optimisation
- Gesamtarbeitsaufwand
Der Arbeitsaufwand für das Modul umfasst insgesamt 150 Stunden (siehe auch "ECTS-Leistungspunkte und Benotung").
- Lehr- und Lernformen
Dozentengebundenes Lernen Std. Workload Lehrtyp Mediale Umsetzung Konkretisierung 30 Seminar Pr?senz - 30 ?bung Pr?senz - Dozentenungebundenes Lernen Std. Workload Lehrtyp Mediale Umsetzung Konkretisierung 30 Prüfungsvorbereitung - 35 Veranstaltungsvor- und -nachbereitung - 25 Literaturstudium -
- Benotete Prüfungsleistung
- Klausur oder
- Portfolio-Prüfungsleistung oder
- Portfolio-Prüfungsleistung
- Bemerkung zur Prüfungsart
The portfolio exam-1 covers 100 points and consists of one written paper (HA) and a one-hour written examination (K1). The written paper and the examination are weighted by 50 points each.
The portfolio exam-2 covers 100 points and consist of one written project report (PSC) and a one-hour written examination (K1). The project report and the examination are weighted by 50 points each.
- Prüfungsdauer und Prüfungsumfang
Written examinations: in accordance with the valid study regulations
Written paper of the portfolio exam-1: approx. 8-15 pages
Written project report of the portfolio exam-2: approx. 8-15 pages
The requirements are specified in the respective lectures.
- Empfohlene Vorkenntnisse
Passed placement test or preparatory course mathematics (arithmetic, algebra, differential calculus).
- Wissensverbreiterung
Students who successfully complete this module are able to handle economic functions analytically, offer solutions for economic extreme values with and without auxiliary condition with the assistance of differential calculus and set up linear equation systems based on economic issues.
- Literatur
(1) Pemberton, M.: Mathematics for economists: an introductory textbook. University of Toronto Press, 2011. (2) Renshaw, G.: Maths for economics. Oxford University Press, 2012. (3) Francis, A.: Business Mathematics and Statistics, Cengage Learning; UK ed. Edition, 2014 (4) Rebaza, J.: A first course in applied mathematics. John Wiley & Sons, 2021
- Zusammenhang mit anderen Modulen
The module focuses on the mathematical elements from functions and algebra, which are applied accross all areas of economics, which work empirically. Moreover, the analytic and algebraic topics are a foundation of expressing laws and hypotheses accross all areas of economics, which work with data.
- Verwendbarkeit nach Studieng?ngen
- International Management
- International Management, B.A. (01.09.2024)
- Internationale Betriebswirtschaft und Management
- Internationale Betriebswirtschaft und Management, B.A. (01.09.2024)
- Betriebswirtschaft und Management - WiSo
- Betriebswirtschaft und Management, B.A. (01.09.2024) WiSo
- Betriebswirtschaft im Gesundheitswesen
- Betriebswirtschaft im Gesundheitswesen, B.A. (01.09.2024)
- Modulpromotor*in
- Faatz, Andreas
- Lehrende
- Faatz, Andreas
- Person unbekannt