# Course syllabus B-MAT1 - Mathematics 1 (FEEIT - SS 2019/2020)

**Information sheet**ECTS Syllabus

Slovak

**English**

University: | Slovak University of Technology in Bratislava | ||||||||||||

Faculty: | Faculty of Electrical Engineering and Information Technology | ||||||||||||

Course unit code: | B-MAT1 | ||||||||||||

Course unit title: | Mathematics 1 | ||||||||||||

Mode of delivery, planned learning activities and teaching methods: | |||||||||||||

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

Recommended semester/trimester: | -- item not defined -- | ||||||||||||

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

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

Assesment methods: | |||||||||||||

During the semester rhere will be the credit test (40 points). To accomplish credit a student must obtain at least 20 of 40 points from credit tests. Additional 60 points can be obtained on the final exam. For final grade A at least 92, for B 83 | |||||||||||||

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

Student will gain basic knowledege and skill in linear algebra (complex numbers, matrices, systems
of linear equations, determinants). He will get knowledge in the elements of elementary functions, he will be able to solve some basic limits. He will learn the basics of differential calculus: he will be able to count the derivatives of functions and apply them to some basic problems of mathematical analysis (local extremes, convexity etc.) Finally, he will get knowledge in solution of various problems about infinite series. | |||||||||||||

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

Course contents
1. Linear algebra a) real and complex numbers b) matrices, elimination methods of solving of the systems of linear equations c) determinants d) sum and product of matrices, inverse matrix 2. Real functions a) Definitions of a function, even and odd function, bounded function. Elementary functions. b) limit and continuity of functions c) differentiable functions, computing of derivatives 3. Using derivatives to investigate functions a) asymptotes of the graph of a function b) the Rolle and Lagrange theorem, monotone functions, local extremes c) convex and concave functions 4. Sequences and series a) convergent and divergent series, absolutely convergent series, geometric series b) Cauchy, D'Alembert and Leibniz criteria of convergence c) power series, the Taylor theorem and Taylor series | |||||||||||||

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

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Language of instruction: | -- item not defined -- | ||||||||||||

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

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

Assessed students in total: 520
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Name of lecturer(s): | doc. Mgr. Marcel Polakovič, PhD. (person responsible for course) - slovak doc. RNDr. Michal Zajac, PhD. (examiner, instructor, lecturer) - slovak | ||||||||||||

Last modification: | 7. 5. 2019 | ||||||||||||

Supervisor: | doc. Mgr. Marcel Polakovič, PhD. and programme supervisor |

*Last modification made by RNDr. Marian Puškár on 05/07/2019.*