Basics in Applied Mathematics

Date: Tue, Thur 8-10, SR 404, Ernst-Zermelo Str. 1
Tutorial: Thur, 10-12, HS II
Programing lab (optional): Wed, 16-18, CIP-POOL, Herman-Herder Str. 10

This course offers an accessible introduction to the key concepts and methods of probability and statistics, numerical analysis, and optimization. Alongside the theory, you will work on hands-on programming projects in Python to put ideas into practice. The course not only strengthens your foundations in these three areas, but also prepares you for more advanced lectures and applications in science and engineering.

Join us to explore the beauty of mathematics in action, discover how theory meets practice, and build the skills that will support your future studies and projects.

Exercise:

The exercises for this course are available at the following link: https://github.com/alenkushova/Basics-in-Applied-Mathematics-Exercises

The programming task will be assigned at the end of the semester.

Submission of Exercises:

Exercises can be submitted either by hand or via email:

• Hand submission: Please use the letterbox located at Hermann-Herder-Straße 10, on the top floor in front of the CIP Pool.
• Email submission: Send your solutions to jannis-ritter@t-online.de

For the programming exercises, you may either

• send your .py or .m files via email, or
• discuss your results on paper during the exercise session.

(For week 20 – 24 October only, submissions are also accepted until Wednesday.)

Exercise in stochastics:

• Sheet1
• Sheet2

Programming Week – Project Instructions

The programming week will take place from 9–13 February.

During this week, students are required to choose and work on one project from the lists provided for the three parts of the course:

• Numerics
• Stochastics
• Optimization

Each project comes with detailed instructions. Students are free to use any programming language (e.g. Python, MATLAB) to implement their chosen project.
Projects should be carried out in pairs. Since the total number of students is odd, one group may consist of three students.
Once you have chosen a project, please inform the corresponding assistant by email, indicating the chosen topic and the members of your group.

Support during the programming week

The assistants for the three parts of the course (Numerics, Stochastics, Optimization) will be available during the programming week to answer questions and provide guidance.
Please contact the relevant assistant by email in advance to schedule an appointment.

Presentation

Each group is required to prepare a short presentation:

• Duration: 12 minutes (including questions and answers).
  Students are expected to prepare slides. As a guideline, the presentation may be structured as follows:
  about 2 minutes introducing the problem setup,
  about 5 minutes discussing the methodology and implementation,
  about 3 minutes presenting numerical results and conclusions,
  followed by about 2 minutes for questions.
• Date: Monday, 16 February
• Location: Hermann-Herder-Straße 10,
  79104 Freiburg im Breisgau,
  Room 114
• Time: 9.00-12.00

Written report

In addition to the presentation, students must submit a short written report:

• Length: 2–4 pages
• Format: free; a LaTeX template can be provided by the assistants upon request
• Deadline: 20 February, 12:00
• Submission: by email to the respective assistant