Catastrophes and its Mathematical Background Creative Commons, Attribution + Noncommercial (BY-NC)
Authors: Ivan Zelinka
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Despite the fact that the catastrophe theory seems to be very theoretical branch of research and that it will be difficult to understand which role the math plays in this area, the lecture is focused on the demonstrations of the catastrophe theory in the real life. The catastrophe theory deals with the study and classification of phenomena which is characterized by the sudden changes in behaviour which arise from small changes in circumstances. In the lecture, students will be familiarize with the terms as the butterfly catastrophe, bifurcation, critical points, sensitivity to the initial conditions etc. They will see how the selected catastrophes can be described mathematically and how this theory relates with other areas of our lives.

Technical requirements
  computer, dataprojector

Workforce in Mathematics

In the EU, there are around 260,000 mathematics and statistics students. Jobs for mathematicians, other scientists and engineers grew by 7% in the past five years. Jobs for technicians in the field grew by 2%. Overall, they account for 7% of all jobs in the EU. Mathematicians work as data analysts, actuarial analysts, investment analysts, or data scientists. As of 2016, around 15 million European science and engineering workers are employed. They work in a variety of sectors, including professional services, utilities, manufacturing, construction, wholesale, and the public sector. In the next years, jobs for mathematicians, other researchers and engineers will increase by 13%, and jobs for technicians in the field will increase by 2%.

  60 min
Number of staff
Education Level
15-18 years
18+ years
Science Discipline
Home use
Classroom use
Knowledge prerequisites
Operating system
Installation effort
Some effort required, you'll need to install some programs

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