Upon completion of this course, the student is able to:
- recognize, analyze and evaluate various forms of mathematical reasoning;
- describe the historical development of the modern conception of mathematics;
- discuss the importance (and limitations) of mathematical analysis with respect to societal issues;
- explicate and justify a normative position.
By taking a closer look at the development of both statistics and probability as well as vector calculus, students reflect upon the way a domain acquires a mathematical form. By studying and discussing historical cases, students inquire into the nature and role of mathematical formalisation, proofing, axiomatisation, and different styles of mathematics. Students study a case of real-world use of probabilistic thinking or modern physics and systematic develop an evaluative position with respect to it.