• EN

# Mathematics for Cognitive Science 2-IKVa-102

The lectures will provide students with the basics of propositional and predicate logic, linear algebra, mathematical analysis, and the probability that are important for the study of informatics and its role in (computational) cognitive science. At the same time, students will learn about mathematical culture, notation, way of thinking and expressing oneself.

## Course schedule

Type Day Time Room Lecturer
Lecture/Exercise Wednesday 14:00 MS Teams: FMFI-Mathematics for Cognitive Science Mária Slavíčková
Exercise/Lecture Wednesday 15:40 MS Teams: FMFI-Mathematics for Cognitive Science Mária Slavíčková

## Syllabus

1. Basics of logic and proving methods: propositional logic, predicate logic, the sets of numbers, proofs.
2. Basics of mathematical analysis: functions, differential calculus
3. Basics of linear algebra: matrices and vectors, operations.Looking forward to meeting you in the lessons
4. Basics of probability: likely and not likely, unconditional and conditional probability

## References

• Discrete structures with contemporary applications / Stanoyevitch A. CRC Press, Taylor & Francis Group, 2011.
• A First Course in Real Analysis. Second Edition. / Protter, M.H. & Morrey, C.B. Springer-Verlag , 1991.
• Basics of Mathematical Functions: https://www.khanacademy.org/math/algebra/algebra-functions
• Calculus / Gilbert Strang. Massachusetts Institute of Technology: Wellesley-Cambridge Press.
• Fundamentals of Linear Algebra / James B. Carrell. Canada: University of British Colombia, 2005.
• Artificial Intelligence: A Modern Approach / Stuart Russell and Peter Norvig. The USA: Pearson, 2010.

To be classified student has to achieve at least 50% of every activity:

THREE EXAM TESTS:

• form: 60 minutes writing test
• term:
• goal: progress definition
• weight: 20 % each

ATTENDANCE, ACTIVITY (bonus points. max 15%)

• form: classwork (solving problems and schoolmate’s help)
• term: every lecture and exercise
• goal: regular preparation, cooperation, and virtual-social activity
• weight: 10%

FINAL EXAM

• form: 90 minutes writing test
• term: January, February 2021
• goal: course output
• weight: 30%

OVERALL GRADING: A > 90%, B > 80%, C> 70%, D > 60%, E > 52% points.