040005 VO Mathematics 1 (2025W)

6.00 ECTS (3.00 SWS), SPL 4 - Wirtschaftswissenschaften

MIXED

Moodle

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

The lecture is given partially remote (there are videos of the lectures that can be watched any time in self-study). The meetings on site are partially "flipped classroom" sessions where we discuss and deepen contents from the videos and questions can be posed. Active participation and discussion during the on site meetings is desirable. All videos can be found on the Moodle page during the whole semester. Presence on site is not mandatory. The Moodle page will be accessible by beginning of November.

Wednesday 19.11. 16:45 - 18:15 Hörsaal 1 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday 21.11. 15:00 - 16:30 Hörsaal 1 Oskar-Morgenstern-Platz 1 Erdgeschoß
Thursday 27.11. 15:00 - 16:30 Hörsaal 1 Oskar-Morgenstern-Platz 1 Erdgeschoß
Friday 28.11. 15:00 - 16:30 Hörsaal 1 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 03.12. 15:00 - 16:30 Hörsaal 1 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 10.12. 15:00 - 16:30 Hörsaal 1 Oskar-Morgenstern-Platz 1 Erdgeschoß
Thursday 11.12. 15:00 - 16:30 Hörsaal 1 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 07.01. 15:00 - 16:30 Hörsaal 1 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 14.01. 15:00 - 16:30 Hörsaal 1 Oskar-Morgenstern-Platz 1 Erdgeschoß
Wednesday 21.01. 15:00 - 16:30 Hörsaal 1 Oskar-Morgenstern-Platz 1 Erdgeschoß

Information

Aims, contents and method of the course

Aims: students learn basic quantitative methods for applications in business and economics. The mathematical tools will be applied in exercises in the Exercises class that takes place parallel to the lecture.

Contents: one-dimensional analysis: sequences and series, real functions in one variable, continuity, some special functions such as exponential function and logarithm, differentiability and derivatives, study and sketching of curves, convexity and concavity, Taylor series, first and second order criteria for local extrema, introduction to integration theory, antiderivative, calculation of areas with integrals. Linear algebra: vectors, matrices, linear (in)dependence, inner product, euclidian norm, orthogonality of vectors, determinants of matrices, inverse matrix, introduction to systems of linear equations, eigen-values and eigen-vectors, definiteness of matrices, quadratic forms

Methods: In the lecture the theory will be presented and some basic examples will be explained. In the accompanying exercises class "UE Übungen zu Mathematik 1, 4 ECTS, 2 SSt. (pi)" the students will get homework which deepens and supplements the theory. The solutions will be presented by students in the Exercises class .

Assessment and permitted materials

Written digital exam. The exam is open-book. You are allowed to use all materials of the lecture. You are not allowed to cooperate or communicate with others.

Important fact: separate registration for the exam is necessary, please note the deadlines for registration! Detailed information about the digital exam can be found one week before the exam date on the moodle-page of the corresponding exam. You get access to this moodle page about one week before the exam date IF (and ONLY IF) you are registered for this exam. Please READ THE INFO about the exam on the Moodle-page of the exam one week BEFORE THE DATE of the exam.
INFORMATION for EC Betriebswirtschaftlich: Methoden - this is a seperate exam (Fachprüfung) with slightly less content. Please read the information of the exam.

Minimum requirements and assessment criteria

A maximum of 60 points can be reached in the digital exam. Necessary points for a positive grade: 25.

Examination topics

Everything that is covered in the lecture, moreover everything that is covered in the exercises.

Reading list

* Folien und Videos zur Vorlesung in Moodle

Die folgende Literatur kann ergänzend zur Vorlesung nützlich sein:
* Knut Sydsæter u. Peter Hammond: Mathematik für Wirtschaftswissenschaftler (3. oder 4. Auflage, Pearson Studium Verlag), ISBN: 3-8273-7223-2

* Immanuel Bomze: Skriptum zu der Vorlesung Mathematik 1 für Studierende der Betriebs- und Volkswirtschaftslehre (erhältlich im Facultas-Shop NIG )

* Ingolf Terveer: Mathematik für Wirtschaftswissenschaften (3. Auflage, UTB-Verlag), ISBN: 978-3-8252-8506-7

Für die Übungen:
* Irene Klein u. Ivana Ljubic: Beispielsammlung zu der Vorlesung Mathematik 1 für Studierende der Betriebs- und Volkswirtschaftslehre (erhältlich im Facultas-Shop)

Association in the course directory

Last modified: Tu 03.02.2026 14:45