Mathematics in action 1000-1L08MD
We would like to show how mathematics deals with a selection of problems
related to economy, physics and the daily life. Among others we have in mind the following questions:
-- what is the optimal control and how to control economic processes;
-- is it possible for photons to go around a black hole;
-- how to park a car as fast as possible;
-- how to park a car on a crammed parking lot.
Our goal is to present these topics and to explain their physical or
geometric description. However, we will stress the mathematical aspects. We want to show the connection between optimal control and mechanics and even the relativity theory.
For this purpose we will use the analytical tools like the ordinary differential equations or differential geometry. We want to deal also with the quantitative aspects of the description of these phenomena. This enables us to compare the theory with the experiment. Interested students may have an opportunity to perform numerical computations with packages like scilab.
A part of the course will be conducted in a form of workshop. The participants will work out through a discussion the important elements of the mathematical model of the phenomenon we describe.
Type of course
Bibliography
References will be given at the first meeting.
Additional information
Information on level of this course, year of study and semester when the course unit is delivered, types and amount of class hours - can be found in course structure diagrams of apropriate study programmes. This course is related to the following study programmes:
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: