Jun 27, 2019   7:22 a.m. Ladislav

# Course syllabus B1-MAT2_G - Mathematics 2 (FCE - SS 2018/2019)

Information sheet          ECTS          Syllabus

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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: B1-MAT2_G
Course unit title: Mathematics 2
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: Geodesy and Cartography - bachelor (compulsory), 2. semester
Level of study: 1.
Prerequisites for registration: none

Assesment methods:
During the semester, a student can obtain up to 20 points from exercises, including the maximum of 15 points from main tests and the maximum of 5 points for the activity on exercises. Additionally, up to 80 points can be obtained from the written final examination.
Prerequisites for granting the course credits are: participation on the exercises with more than 3 absences and gain of at least 8 points in the exercises.
Conditions for successful completion of the examination are: getting the course credit, achieving at least 56 points in total from exercises and a written final examination.

Learning outcomes of the course unit:
Semester is divided into four parts. In the first part a student acquire knowledge of integral calculus of functions of one variable. The second part teaches students basic calculus of functions of several variables, including engineering applications. The third part of the semester is devoted to differential geometry of curves and surfaces in space. Finally, the basic spherical trigonometry is gone over.

Course contents:
- Indefinite and definite integrals, use of definite integrals in physics and geometry
- Real functions of several variables, partial derivatives, differentiability, gradient, the derivative in certain direction, local and constrained extrema, saddle points.
- Differential geometry of curves in a space, accompanying trihedron.
- Differential geometry of surfaces, first and second fundamental form of a surface, the main curvatures and principal directions, geodesic curvature.
- Spherical triangle, existential sentences, solving right and general spherical triangle.

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. HORVÁTH, J. -- KAJAN, J. -- ELIAŠ, J. Zbierka úloh z vyššej matematiky. 2. časť. Bratislava : Alfa, 1986. 317 p. HORVÁTH, J. -- KAJAN, J. -- ELIAŠ, J. -- ŠULKA, R. Zbierka úloh z vyššej matematiky. 4. časť. Bratislava : Alfa, 1970. 285 p.

Language of instruction: slovak

Notes:

Courses evaluation:
Assessed students in total: 144

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10,4 %4,9 %10,4 %18,8 %46,5 %9,0 %
Name of lecturer(s): prof. RNDr. Magdaléna Komorníková, PhD. (examiner, instructor, lecturer, person responsible for course) - slovak
Ing. Marek Macák, PhD. (examiner, instructor) - slovak
Ing. Zuzana Minarechová, PhD. (examiner, instructor) - slovak

Last modification: 28. 2. 2019
Supervisor: prof. RNDr. Magdaléna Komorníková, PhD. and programme supervisor

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

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