Advanced Mathematics – Differential Equations, Taylor Expansion and Integral Transforms

The introductory microcredential "Advanced Mathematics – Differential Equations, Taylor Expansion, and Integral Transforms " provides students with in-depth knowledge of differential equations, Taylor Expansion, and integral transforms, and helps them transition into part-time academic studies or from a university of applied sciences to a university. Upon completion of the course, students will have an overview of the theory of Taylor expansions and series, integral transforms, and integral calculus. Furthermore, students will be able to characterize given differential equations and solve them in special cases. This foundational module enables participants to attend more advanced mathematics-oriented courses.

This course is suitable as an introduction to the following master's programs:

Artificial Intelligence for Connected Industries, M.Sc.
Computational Science and Engineering, M.Sc.
Sensorsystemtechnik (Sensor Systems Engineering), M.Sc.

Schedule

Week 1: 27 Oct – 02 Nov 2025

Taylor Series and Expansions

Week 2: 03 Nov – 09 Nov 2025

Integral Calculus
Online seminar on worksheet "Taylor Series & Expansions"

Week 3: 10 Nov – 16 Nov 2025

Integral Transforms
Online seminar on worksheet "Integral Calculus"

Week 4: 17 Nov – 23 Nov 2025

Ordinary Differential Equations
Online seminar on worksheet "Integral Transforms"

Flexible date

Online seminar on worksheet "Ordinary Differential Equations"

In the first week of the course, a poll will be conducted on Moodle to determine the schedule for the synchronous online tutorials. These tutorials will then take place weekly from the second week onwards.

Fee: 135.00 euros

You can find the module handbook here.

Taylor Series and Expansions
Integral Calculus
Integral Transforms
Ordinary Differential Equations

Self-study using the provided script
Working on thematically structured exercises
Online tutorials to discuss the content and exercises
Final session to clarify general questions
Discussion forums for topic exchange
Oral or written final examination

The certificate course materials are written in German and English. The language of instruction is German or English, depending on the language requirements of the participants.

Participants who pass the final exam will receive a certificate and a supplement describing the course content and the skills acquired. The exam will be graded. The certificate includes 3 ECTS credits (European Credit Transfer System) for the course "Fundamentals of Mathematics." Accordingly, participants should expect a workload of approximately 90 hours for self-study, mentoring, participation in the attendance session, exam preparation, and completion.

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The fee for the microcredential Advanced Mathematics – Differential Equations, Taylor Expansion, and Integral Transforms is 135 €. It includes access to all provided learning materials for the duration of the course and participation in the associated in-person sessions.

Registration

to register

Registration deadline: 20 Oct 2025