Jul 18, 2019   3:11 p.m. Kamila

# Course syllabus B1-MAT1 - 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-MAT1
Course unit title: Mathematics 1
Mode of delivery, planned learning activities and teaching methods:
 lecture 3 hours weekly (on-site method) seminar 2 hours weekly (on-site method)

Credits allocated: 6

Recommended semester/trimester: Building Construction and Architecture - bachelor (compulsory), 1. semester
Building Technology and Management - bachelor (compulsory), 1. semester
Geodesy and Cartography - bachelor (compulsory), 1. semester
Hydraulic Engineering and Water Resources Management - bachelor (compulsory), 1. semester
Landscaping and Landscape Planning - bachelor (compulsory), 1. semester
Structural and Transportation Engineering - bachelor (compulsory), 1. semester
Level of study: 1.
Prerequisites for registration: none

Assesment methods:
at least 21 out of 40 marks from a monitoring test, at least 13 marks during the semester (from which at least 8 marks should come from semestral tests and at least 5 marks from presentations), passmark 56%.

Learning outcomes of the course unit:
In the first part of the semester students will learn basics of linear algebra (including eigenvectors and eigenvalues). They will be able to solve linear systems and handle simple tasks in analytic geometry. In the second part of the semester students will learn fundamentals of calculus of one variable, including real world applications.

Course contents:
• Matrices and determinants.
• Linear systems, and solution methods.
• Eigenvalues and eigenvectors.
• Geometric applications of linear algebra.
• Properties of functions of one variable.
• Differential calculus of functions of one variable with applications in engineering.
• Basics of integral calculus.

Recommended or required reading:
Basic:
 HANDLOVIČOVÁ, A. -- ŠIRÁŇ, J. -- MIŠŠÍK, L. -- SCHNEIDER, Z. Riešené úlohy z matematiky I, STU, Bratislava, 1998. Bratislava: Vydavateľstvo STU, 1998. ISBN 80-227-1024-5. ELIÁŠ, J. -- HORVÁTH, J. -- KAJAN, J. Zbierka úloh z vyššej matematiky 1.časť. Bratislava : Alfa, 1979. 291 p. HORVÁTH, J. -- KAJAN, J. -- ELIAŠ, J. Zbierka úloh z vyššej matematiky. 2. časť. Bratislava : Alfa, 1986. 317 p. IVAN, J. Matematika 1: Príručka pre vysoké školy. Bratislava : Alfa, 1983. 704 p.

Language of instruction: slovak or english

Notes:

Courses evaluation:
Assessed students in total: 3210

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11,3 %13,0 %21,1 %23,8 %23,2 %7,6 %
Name of lecturer(s): Ing. Andrea Ábrahámová (examiner, instructor)
doc. Ing. Tomáš Bacigál, PhD. (examiner, instructor) - slovak
Mgr. Dominika Ballová (examiner, instructor)
doc. RNDr. Angela Handlovičová, PhD. (examiner, instructor, lecturer) - slovak, english
doc. Mgr. Gejza Jenča, PhD. (examiner, instructor)
prof. RNDr. Martin Kalina, PhD. (examiner, instructor, lecturer) - slovak, english
prof. RNDr. Magdaléna Komorníková, PhD. (examiner, instructor, lecturer) - slovak, english
Ing. Balázs Kósa (examiner, instructor)
Ing. Peter Sarkoci, PhD. (examiner, instructor)
RNDr. Peter Smrek, PhD. (examiner, instructor) - slovak
Mgr. Oľga Stašová, PhD. (examiner, instructor)
Mgr. Peter Struk, PhD. (examiner, instructor, lecturer, tutor) - slovak
Mgr. Marián Šagát (examiner, instructor)
Ing. Adam Šeliga (examiner, instructor)
Ing. Alexandra Šipošová, PhD. (examiner, instructor, lecturer, tutor)
prof. RNDr. Jozef Širáň, DrSc. (examiner, instructor, lecturer, person responsible for course) - slovak, english
Ing. Lucia Vavríková, PhD. (examiner, instructor) - slovak
doc. Mgr. Mária Ždímalová, PhD. (examiner, instructor) - slovak

Last modification: 28. 2. 2019
Supervisor: prof. RNDr. Jozef Širáň, DrSc. and programme supervisor

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

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