# Course syllabus BIAX10041 - Mathematics I. (FI - WS 2019/2020)

**Information sheet**

Slovak

**English**

University: | Pan-european University | ||||||||||||

Faculty: | Faculty of Informatics | ||||||||||||

Course unit code: | BIAX10041 | ||||||||||||

Course unit title: | Mathematics I. | ||||||||||||

Planned learning activities and teaching methods: | |||||||||||||

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Credits allocated: | 6 | ||||||||||||

Recommended semester/trimester: | 1. year | ||||||||||||

Level of study: | 1. | ||||||||||||

Prerequisites for registration: | none | ||||||||||||

Assessment methods: | |||||||||||||

Student can obtain 30 points during the semester for control tests, homework and personal activity and 70 points for the exam. The grade A is obtained for 94-100 points, B for 86-93 points, C for 76-85 points,D for 66-75 points, E for 56-65 points and FX for 0-55 points. | |||||||||||||

Learning outcomes of the course unit: | |||||||||||||

The goal of the course is to educate the students about the elements of the set theory, real numbers and functions of real variable. To acquaint them with the elements of the infinitesimal calculus, in particular with the notion of the limit and continuity of the function. To educate them about the elements of linear algebra, in particular about the notion of a linear space, matrices theory and solution of the system of linear equations. | |||||||||||||

Course contents: | |||||||||||||

1. Sets and operations with sets
2. Types of proofs 3. Least upper bound and greatest lower bound of a set 4. Powers, logarithms, goniometric expressions 5. Functions and their properties 6. Decomposition of polynomials 7. Limits of functions and sequences 8. Application of limits in computer science 9. Derivation of the function 10. Derivations of higher order 11. Inquiry of functions behaviour 12. Systems of linear equations, algorithm of the solution | |||||||||||||

Recommended or required reading: | |||||||||||||

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Language of instruction: | Slovak, English | ||||||||||||

Notes: | |||||||||||||

Courses evaluation: | |||||||||||||

Assessed students in total: 344
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Name of lecturer(s): | doc. RNDr. Vladimír Palko, CSc. (examiner, instructor, lecturer, person responsible for course) | ||||||||||||

Last modification: | 11. 6. 2019 | ||||||||||||

Supervisor: | doc. RNDr. Vladimír Palko, CSc. |

*Last modification made by Ján Lukáš on 06/11/2019.*