Jun 16, 2019   7:09 p.m. Blanka
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# 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:
 lecture 2 hours weekly (on-site method) seminar 3 hours weekly (on-site method)

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:
Basic:
 KRIVÁ, Z. Mathematics I. Bratislava : STU v Bratislave, 2007. 103 p. ISBN 978-80-227-2715-0. WYLIE, R C. -- BARRET, L C. Advanced engineering mathematics. New York : McGraw-Hill, 1995. 1362 p. ISBN 0-07-113543-X. LARSON, R E. -- HOSTETLER, R. -- EDWARDS, B. Calculus with analytic geometry. Lexington : D.C.Heath and Company, 1990. 1083 p. ISBN 0-669-16406-2.

Language of instruction: english or english and slovak

Notes:

Courses evaluation:
Assessed students in total: 53

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15,1 %9,4 %20,8 %17,0 %22,6 %15,1 %
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.

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