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CCNM17-102: Mathematics Course Description

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CCNM17-102: Mathematics Course Description

Aim of the course

Aim of the course: The goal of this course is to gain a better understanding of those branches and fundamental concepts of mathematics that are needed most frequently in cognitive science- In addition to well-applicable mathematical ideas I also plan to include some fun ideas and proofs that connect to those with practical importance.

Learning outcome, competences knowledge:

• knows the introductory theories of mathematics attitude:

• Interest for theoretical issues skills:

• understanding literature that contains mathematical formulas and terminology

• using mathematical knowledge in building computer models (well, at least some, but the more the better).

Content of the course Topics of the course

• combinatorics,

• probability theory,

• linear algebra,

• the basics of analysis, and differential equations, accompanied by examples of psychological and biological applications.

Learning activities, learning methods:

Lectures and interactive discussions

For numerical solutions when we need them, we will use Matlab or R-Studio.

Evaluation of outcomes

Learning requirements, mode of evaluation, criteria of evaluation:

requirements

• Reliable basic knowledge in the domain of mathematics

• written midterm test

• essays based on the required readings for the course mode of evaluation: practical course mark

criteria of evaluation:

• Knowledge on basic concepts and the skill of utilizing the modells of the big mathematics topics

Reading list

Compulsory reading list

• Crilly, T. (2007). 50 mathematical ideas you really need to know. London: Quercus.

• Strang, G. (2009). Introduction to linear algebra. Wellesley, MA: Wellesley Cambridge Press

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• Holzner, S. (2008). Differential equations for dummies. New York: Wiley.

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