Mathematics for Modeling and Data Analysis

he dates of the online exams are 04.08.2022 + 29.09.2022 between 11:00 and 13:00 in the CIP-Pool 1 (ID 03/121)



Course type
5 CP
Summer Term 2022
moodle course available


Takes place every week on Thursday from 10:30 to 12:00 in room ID 03/419.
First appointment is on 07.04.2022
Last appointment is on 14.07.2022
Takes place every week on Thursday from 12:15 to 13:45 in room ID 03/419.
First appointment is on 07.04.2022
Last appointment is on 14.07.2022

Enrollment: To enroll in this course with me, you just have to enroll in the Moodle course and participate. You also might have to enroll with your examination office, but that is something you have to figure out yourself.

Credits: 5 CP

Workload: 150 h

Semester: any semester Bachelor

Cycle (Turnus): each SS

Duration (Dauer): 1 semester

Contact time (Kontaktzeit): 4 SWS (60 h)

Self studies (Selbststudium): 90 h

Group size (Gruppengröße): ca 20

Language: English.

Requirements: Basic knowledge of calculus and linear algebra.

Learning outcomes (Lernziele): After the successful completion of this course the students

  • know the material covered in this course, see Content,
  • do have an intuitive understanding of the basic concepts and can work with that,
  • can communicate about all this in English.

Content (Inhalt): This course covers mathematical methods that are relevant for modeling and data analysis. Particular emphasis is put on an intuitive understanding as is required for a creative command of mathematics. The following topics are covered:

  • Functions and how to visualize them
  • Vector spaces
  • Matrices as transformations
  • Systems of linear differential equations
  • Qualitative analysis of nonlinear differential equations
  • Bayesian theory
  • Markov chains

Teaching format (Lehrformen): This course is given with the flipped/inverted classroom concept. First, the students work through online material by themselves. In the lecture time slot we then discuss the material, find connections to other topics, ask questions and try to answer them. In the tutorial time slot the newly acquired knowledge is applied to analytical exercises and thereby deepened. I encourage all students to work in teams during self-study time as well as in the tutorial.

Exam (Prüfungsformen): The course is concluded with a digital written exam taking place 04.08.2022 and 29.09.2022 for 90 minutes between 11:00 and 13:00 in the CIP-Pool 2 (ID 03/121). This is an open book exam, thus you may use any tools (e.g. lecture notes or Wikipedia) except communication with other people. Registration for the exam with us happens at the end of the course, you will receive instructions on that in due time. You might also have to register for this exam in your examination office, but this is something you'll have to figure out yourself. There are no prequisits for the exam, like 50% points in tutorials or the like.

Condition for granting the credit points (Voraussetzungen für die Vergabe von Kreditpunkten): Passed written exam.

The Institut für Neuroinformatik (INI) is a central research unit of the Ruhr-Universität Bochum. We aim to understand the fundamental principles through which organisms generate behavior and cognition while linked to their environments through sensory systems and while acting in those environments through effector systems. Inspired by our insights into such natural cognitive systems, we seek new solutions to problems of information processing in artificial cognitive systems. We draw from a variety of disciplines that include experimental approaches from psychology and neurophysiology as well as theoretical approaches from physics, mathematics, electrical engineering and applied computer science, in particular machine learning, artificial intelligence, and computer vision.

Universitätsstr. 150, Building NB, Room 3/32
D-44801 Bochum, Germany

Tel: (+49) 234 32-28967
Fax: (+49) 234 32-14210