# Course syllabus B-MAT2E - Mathematics 2 (FEEIT - WS 2019/2020)

**Information sheet**ECTS Syllabus

Slovak

**English**

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

Faculty: | |||||||||||||

Course unit code: | B-MAT2E | ||||||||||||

Course unit title: | Mathematics 2 | ||||||||||||

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: | passed Mathematics 1 (B-MAT1E) | ||||||||||||

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

Two semestral tests (40 minutes) 20 points, written exam (120 minutes) 60 points (60% of total). Total evaluation - sum of points from tests and exam using official classification table. | |||||||||||||

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

The aim of the subject is to continue in second part of Calculus 1, namely in definite integral, and the transformation of knowledge from Calculus I to the basic knowledge from chosen parts of differential and integral calculus of functions of many variables and Fourier series. All the notions of several dimensional calculus are developed from the beginning.
The main parts are: Integration of real function of one real variable, Fourier series, differential and integral calculus of functions of many variables. | |||||||||||||

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

Definite integral. Properties of the definite integral. The fundamental theorem of calculus. Newton-Leibnitz formula. Indefinite integral and integration rules. Substitution method and integration by parts. Integration of rational functions. Fourier series, Fourier Sin and Cosine series, convergence of Fourier series. Functions of several variables, limit, continuity. Differentiability of a function of several variables. Partial derivatives. Total differentials, the gradient, directional derivatives. Extremes of a function of several variables. Integrals over rectangles, integration over region, area and volume. Fubini’s theorem. Double integral. Triple integral. | |||||||||||||

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

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Language of instruction: | slovak or english | ||||||||||||

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

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

Assessed students in total: 822
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Name of lecturer(s): | RNDr. Igor Brilla, PhD. (examiner, instructor, lecturer) - slovak, english doc. RNDr. Ľubomír Marko, PhD. (instructor, lecturer, person responsible for course) - slovak, english | ||||||||||||

Last modification: | 6. 5. 2019 | ||||||||||||

Supervisor: | doc. RNDr. Ľubomír Marko, PhD. and programme supervisor |

*Last modification made by RNDr. Marian Puškár on 05/06/2019.*