Oct 18, 2019   10:23 a.m. Lukáš
Academic information system

Course syllabus B1-MAT3 - Mathematics 3 (FCE - WS 2019/2020)

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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: B1-MAT3
Course unit title: Mathematics 3
Mode of delivery, planned learning activities and teaching methods:
lecture2 hours weekly / 2 hours per semester of study (on-site method)
seminar1 hour weekly / 1 hour per semester of study (on-site method)

Credits allocated: 4
Recommended semester/trimester: Hydraulic Engineering and Water Resources Management - bachelor (compulsory), 3. semester
Structural and Transportation Engineering - bachelor (compulsory), 3. semester
Level of study: 1.
Prerequisites for registration: none
Assesment methods:
tests during semester (30 %)
Learning outcomes of the course unit:
First part is devoted to basics of integral calculus with functions of several variables, namely two and three, and their applications in engineering problems. Basic properties and calculus of integrals on curves are also included.
Second part is devoted to numerical mathematics, namely iterative methods for solving nonlinear equations and then also basic numerical methods for solving linear algebraic systems, focusing to Jacobi and Gauss-Seidel iterative methods.
Course contents:
- Elementary fields in the plane and in space.
- Definition of integral on two and three dimensional domains.
- The transformation of the area, polar and cylindrical coordinates.
- Basic calculus, solving applied problems.
- Curve integral, surface integral, calculation methods and their applications.
- Green's theorem and its application
- Basic concepts of numerical mathematics: relative, absolute error, stability of numerical solutions, good conditionality task, correct numerical task.
- Iterative methods for solving nonlinear equations.
- Numerical solution of linear algebraic systems, Jacobi, Gauss-Seidel methods.
Recommended or required reading:
MÍKA, S. Numerické metody algebry. Praha : SNTL, 1982. 169 p.
PŘIKRYL, P. Numerické metody matematické analýzy. Praha : SNTL, 1988. 187 p.
ČERNÁ, R. Základy numerické matematiky a programování. Praha : SNTL, 1987. 445 p.

Language of instruction: slovak or english
Courses evaluation:
Assessed students in total: 339

11,5 %13,6 %13,3 %22,1 %30,1 %9,4 %
Name of lecturer(s): prof. RNDr. Radko Mesiar, DrSc. (person responsible for course) - slovak, english
doc. Mgr. Andrea Stupňanová, PhD. (examiner, instructor, lecturer) - slovak, english
Last modification: 28. 2. 2019
Supervisor: prof. RNDr. Radko Mesiar, DrSc. and programme supervisor

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

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