IBB-140 P420-0229 ibw4 6 VU 5 1 yes English Written exam (90 minutes / can be repeated semesterly) IBB-140 International Business 1 mandatory course 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. IBB-230 Business Statistics IBB-340 Microeconomics IBB-350 Macroeconomics Prof. Dr. Teresa Melo tme Prof. Dr. Teresa Melo tme 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. Calculus: - 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 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. 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, https://openstax.org/subjects/math, 2019 OpenStax College: College Algebra, OpenStax CNX, https://openstax.org/subjects/math, 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 Mon Oct 5 13:11:08 CEST 2026, CKEY=imt, BKEY=ibw4, CID=[?], LANGUAGE=en, DATE=05.10.2026