# Course syllabus B1-M1_C - Mathematics 1 (FCE - WS 2019/2020)

**Information sheet**ECTS Syllabus

Slovak

**English**

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

Faculty: | Faculty of Civil Engineering | ||||||||||||

Course unit code: | B1-M1_C | ||||||||||||

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

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

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Credits allocated: | 5 | ||||||||||||

Recommended semester/trimester: | Civil Engineering - bachelor (compulsory), 1. semester Civil Engineering (in english language) - bachelor (compulsory), 1. semester | ||||||||||||

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

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

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

Passing of two semestral tests (min. 20% of points from each). Obtaining at least 56 points on the exam. | |||||||||||||

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

Semester is divided into two parts. In the first one, students will gain knowledge of the fundamentals of linear algebra and analytic geometry in three dimensional space. In the second part of the semester, students will gain knowledge of differential calculus of functions of one variable and they will be able to analyze and sketch graph of functions of one variable. | |||||||||||||

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

- Systems of linear algebraic equations. Matrices and determinants and their use in solving systems of equations.
- Analytic geometry in three dimensional space. - Function and its basic characteristics, elementary functions. - Limits of functions, asymptotes of functions. - Basic rules for differentiation and geometric applications of derivatives. - L'Hospital rule. - Graph of function. | |||||||||||||

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

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

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

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

Assessed students in total: 57
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Name of lecturer(s): | doc. RNDr. Zuzana Krivá, PhD. (examiner, instructor, lecturer, person responsible for course) - slovak, english | ||||||||||||

Last modification: | 28. 2. 2019 | ||||||||||||

Supervisor: | doc. RNDr. Zuzana Krivá, PhD. and programme supervisor |

*Last modification made by Ing. Peter Korčák on 02/28/2019.*