All projects in Mathematics

Projects in summer semester 2025

The influence of rotational friction between particles

Slots: 1-4, Hours per week: 3-9, Completion within: 3-12 months
For students inrolled in: Applied Physics B.Sc., Informatics B.Ed., Informatics B.Sc., Mathematics B.Ed., Mathematics B.Sc., Meteorology B.Sc., Physics B.Ed., Physics B.Sc.,

Discription
Friction between rotating particles plays a key role in various physical or biological contexts. Such particles like bacteria, for example, can be used as motors for bacteria-based batteries. This project will explore the influence of rotational friction between particles in typical molecular dynamic simulations.
Role of the students
The students will use ready-made Python code to analyze potential physical effects and applications of such friction between rotating particles in computer simulations. If they are interested, students can also adjust the source code.
Qualifications
Basic Python skills are necessary. You will have to use Linux in this project. However, you won't need basic Linux skills since you will learn it through the project.
(more information)


Determining effect sizes of interventions for disruptions in experimental lessons using the GSSG method

Slots: 2-4, Hours per week: 5-7, Completion within: 6-9 months
For students inrolled in: Informatics B.Ed., Mathematics B.Ed., Physics B.Ed.,

Discription
Using interventions to address disruptions in lessons is challenging for any teacher, especially in experimental lessons where students could hurt themselves. However, most studies only rely on personal experience and not empirical data. This project aims to use a new analytic method called GSSG to determine the effect size of interventions in a few experimental lessons.
Role of the students
The students' task is to set up an already-made play game to extract data and use this data with the GSSG method. If desired, you can also contribute to the further development of the method.
Qualifications
Since the GSSG method is Python-based, the students must use a few lines of Python code themselves. Writing their own code is not required, but simply adapting existing code through a few lines is. So, experience in Python or programming in general is helpful but not required.
(more information)


Mathematical Pre-course in Biology, Chemestry, and Geosciences Guidelines

Slots: 1-3, Hours per week: 5, Completion within: 9 months
For students inrolled in: Applied Physics B.Sc., Environmental Sciences with a Focus in Atmosphere and Climate B.Sc., Informatics B.Ed., Informatics B.Sc., Mathematics B.Ed., Mathematics B.Sc., Meteorology B.Sc., Physics B.Ed., Physics B.Sc.,

Discription
The school mathematics pre-semester course for biology often receives criticism through the participants. The main criticism is, that the courses mostly do not start with mathematical basics which the students know. Goal of the project is to evaluate the current state of the course.
Role of the students
The role of the students is to mainly evaluate the worksheets the students work on during the course. Evaluate where the current problems are and how to change the worksheets for the needs of the students.
Qualifications
A good understanding of the mathematical courses in the first semester of biology is necessary. This includes analysis in more than one dimension, fundamental linear algebra, fundamental differential equations, complex-valued equations, and statistics of standard deviation and mean value
(more information)


Code and Context: coupling between PfP and PGP

Slots: 1-2, Hours per week: 3-9, Completion within: 3-12 months
For students inrolled in: Applied Physics B.Sc., Informatics B.Ed., Informatics B.Sc., Mathematics B.Ed., Mathematics B.Sc., Mathematics-Infomatics B.Sc., Meteorology B.Sc., Physics B.Ed., Physics B.Sc.,

Discription
For a few semesters now, there has been a new course on programming in the first semester. The aim of the project is to investigate the link between this new course and the practical courses in which code is used.
Role of the students
The students will develop and evaluate surveys on the issue. If interested, interviews can also be conducted.
Qualifications
Basic Python skills are necessary. It is also helpful to have already completed the basic practical course in physics and/or programming for physics.
(more information)


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