Oct 17, 2019   3:18 a.m. Hedviga

# Course syllabus B1-MAT2 - Mathematics 2 (FCE - SS 2018/2019)

Information sheet          ECTS          Syllabus

Slovak          English

University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: B1-MAT2
Course unit title: Mathematics 2
Mode of delivery, planned learning activities and teaching methods:
 lecture 3 hours weekly (on-site method) seminar 3 hours weekly (on-site method)

Credits allocated: 6

Recommended semester/trimester: Building Construction and Architecture - bachelor (compulsory), 2. semester
Building Technology and Management - bachelor (compulsory), 2. semester
Hydraulic Engineering and Water Resources Management - bachelor (compulsory), 2. semester
Structural and Transportation Engineering - bachelor (compulsory), 2. semester
Level of study: 1.
Prerequisites for registration: none

Assesment methods:
assignments, tests and examinations

Learning outcomes of the course unit:
In the first part of the course the student will learn principles of integration in calculus of one variable, including applications. In the second part, students will be acquainted with fundamentals of differential equations of first order and linear differential equations of higher order. The third part of the course covers the basic facts in multivariate calculus.

Course contents:
- Indefinite integrals, the substitution method, integration by parts, the integration of rational function- partial fractions.
- Definite integrals, the fundamental theorem of integral calculus, geometrical and physical applications of definite integrals.
- First order differential equations of first degree -- separable and linear equations.
- Linear second order differential equations with constant coefficients.
- Function of two or more variables -- basic notions.
- Partial derivatives, local maximum, local and constrained maxima and minima and saddle points, absolute maxima and minima on compact set.

Recommended or required reading:
Basic:
 Kálnová, Handlovičová, Mišík, Širáň: Riešené úlohy z matematiky II. Skriptum STU, 2000. Bratislava: vydavateľstvo STU Bratislava, 2000. 186 p. ISBN 80-227-1344-9. ELIAŠ, J. -- HORVÁTH, J. -- KAJAN, J. Zbierka úloh z vyššej matematiky: 2.časť. Bratislava : Alfa, 1986. 316 p. HORVÁTH, J. -- KAJAN, J. -- ELIAŠ, J. Zbierka úloh z vyššej matematiky. 3. časť. Bratislava : Alfa, 1980. 218 p. IVAN, J. Matematika 2. Bratislava : Alfa, 1989. 631 p. ISBN 80-05-00114-2. KALINA, M. Matematika. Bratislava: Nakladateľstvo STU, 2012. 297 p. ISBN 978-80-227-3655-8.

Language of instruction: slovak or english

Notes:

Courses evaluation:
Assessed students in total: 2779

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8,0 %11,0 %18,9 %24,3 %27,5 %10,3 %
Name of lecturer(s): Mgr. Martin Balažovjech, PhD. (examiner, instructor) - slovak
doc. RNDr. Angela Handlovičová, PhD. (examiner, person responsible for course) - slovak
doc. Mgr. Gejza Jenča, PhD. (examiner, instructor)
prof. RNDr. Martin Kalina, PhD. (examiner, instructor, lecturer) - slovak, english
prof. RNDr. Magdaléna Komorníková, PhD. (examiner) - slovak, english
Ing. Zuzana Minarechová, PhD. (examiner, instructor)
doc. RNDr. Mária Minárová, PhD. (examiner, instructor, lecturer)
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
doc. Mgr. Andrea Stupňanová, PhD. (examiner, instructor, lecturer) - slovak, english
Mgr. Marián Šagát, PhD. (examiner, instructor)
Ing. Alexandra Šipošová, PhD. (examiner, instructor)
Ing. Lucia Vavríková, PhD. (examiner, instructor) - slovak
doc. Mgr. Mária Ždímalová, PhD. (examiner, instructor) - slovak

Last modification: 28. 2. 2019
Supervisor: doc. RNDr. Angela Handlovičová, PhD. and programme supervisor

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

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