Course start: 1. август 2026

Fit4Math

Graz University of Technology
  • Philipp Sprüssel
  • edventure Studios

This course is part of a MOOC series:  Fit for University

Scientific classification:

  • Mathematics (101)

Course start: 1. август 2026

Fit4Math

Graz University of Technology
  • Philipp Sprüssel
  • edventure Studios

This course is part of a MOOC series:  Fit for University

  • Scope: 9 units
  • Effort: 2 hours/unit
  • Course start: 1. август 2026
  • Course end: -
  • Current status: Upcoming course
  • Current participants: 3
  • Licence: CC BY 4.0
  • Available languages:
    • Deutsch ‎(de)‎
    • English ‎(en)‎
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Course details

General information about the course

Fit4Math is an open-access mathematics bridging course designed to prepare students for STEM degree programmes (Science, Technology, Engineering, and Mathematics). It is specifically aimed at first-year students and helps them assess, refresh, and strengthen their mathematical knowledge before starting university. The course supports a smooth transition from secondary education to higher education and helps students build a solid foundation for their studies.

Within the Unite! project “How do we teach math in Europe”, the course was further developed in collaboration with European partner universities. The enhancement process incorporated innovative teaching approaches, interactive learning formats, and international best practices to better support students in overcoming common challenges in mathematics. The course is also being prepared for broader international use through the Unite! network and its digital learning infrastructure.

Together with complementary offerings such as the Math Compass course and additional preparatory courses provided by universities, Fit4Math forms a comprehensive mathematics starter package. These resources help prospective students consolidate their mathematical skills, gain confidence, and successfully begin their academic journey.

At TU Graz, Fit4Math is an integral and mandatory component of the MatheFit course. The MOOC serves as a preparatory and accompanying learning resource that supports classroom teaching and provides students with flexible opportunities for independent study.

Course content

Unit 1: Sets and numbers
Unit 2: Logic
Unit 3: Fractions and expressions
Unit 4: Linear and quadratic equations
including equations involving absolute values and inequalities
Unit 5: Functions
Unit 6: Vectors
Unit 7: Differential calculus*
Unit 8: Complex numbers
Unit 9: Statistics

* For details on Unit 7, please refer to the section "ECTS Credits" below.

Learning goals

After completing this course, learners will be able to:

- apply fundamental concepts from school mathematics required for STEM studies,
- solve algebraic equations and inequalities,
- analyze and work with functions and their derivatives,
- perform calculations with vectors and complex numbers,
- interpret statistical data and evaluate probabilities,
- use logical reasoning and mathematical problem-solving techniques,
- confidently apply mathematical methods in preparation for university-level STEM courses.

Prerequisites

Basic knowledge of the high school mathematics curriculum.

Certificate

For active participation in the course, an automated certificate of participation will be issued upon completion, which includes your username, the course name, the course duration, and the amount of work involved. It should be noted that this is only a confirmation stating that the user has correctly answered at least 75% of the self-assessment questions in at least 7 of the 9 units.

Licence

This work by Graz University of Technology and edventure Studios GmbH is licensed under CC BY 4.0.

Additional content

ECTS credits

NOTE: The MOOC is, of course, open to the public and free to access.

However, this MOOC is offered as part of the course "Fit for Math" at Graz University of Technology (TU Graz) for first-year students of the winter semester. In order to participate in the course, it is necessary that you are registered at TU Graz and that you register for this course there. If you are registered at TU Graz, you do not need an additional registration, on this MOOC platform, but you can log in with your TU Graz registration data (registration with eduID).

In the course, the subject areas covered by the MOOC are dealt with in more detail and in greater depth than in the MOOC. In this respect, the MOOC can only serve as a preview of the topics covered in the course.

As a prerequisite for the positive completion of the lecture, it is necessary that you have first completed the self-assessment questions of modules 1 to 6 with 75% success each in this MOOC. Module 7 (Differential Calculus) is not mandatory for the course, but can (but does not have to) be completed additionally on a voluntary basis. The actual (electronic) examination for the course takes place at the TU Graz at the beginning of October. In case of a positive completion of the course, you will receive the certificate with the corresponding ECTS.

For further information, please refer to the course description (follows) or to your curriculum itself.

Course instructor

Philipp Sprüssel

Philipp Sprüssel studied mathematics at the University of Hamburg and received his doctorate there in 2010. Before coming to Graz as a university assistant in 2012, he spent one year in Oxford and Haifa (Israel) each. Since 2019, he has been working at TU Graz as a Senior Lecturer and is involved in numerous courses. His research areas are probabilistic, enumerative and analytical combinatorics.

edventure Studios

This course is facilitated by Gerhard Dorn, a long-standing lecturer at TU Graz, Physicist + Mathematician + Game Developer = Mathemagician, together with Michael Fuchs, recipient of the TU Graz Award for Digital Teaching and teacher at HTL Wien West.

Both are co-founders of edventure Studios, a Verified Social Enterprise. The studio's mission is to reduce anxiety towards mathematics and foster the joy of understanding through creative, interactive, and playful learning experiences.

More information: www.edventure.studio

Partners

The following persons made contributions to this course:

  • Christoph Aistleitner (Austria)
  • Franz Lehner (Austria)
  • Philipp Sprüssel (Austria)
  • Gerhard Dorn (Austria)
  • Michael Fuchs (Austria)
  • Michael Steiner (Austria)
  • Ana Moura Santos (Portugal)
  • Martin Ebner (Austria)
  • Isabel Ferreirim (Portugal)
  • Elżbieta Zienkiewic (Poland)
  • Adam Marczak (Poland)
  • Johan Thorbiörnson (Sweden)
  • Ernest Ampadu (Sweden)
  • Jonas Kami (Sweden)
  • Sofie Sundberg (Sweden)

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