Course unit code:
N427S2_4B
Course unit title:
Seminar of Mathematics II
Mode of completion and Number of ECTS credits:
Class req (2 credits)
Course supervisor:
PaedDr. Tomáš Visnyai, PhD.
Name of lecturer(s):
V. Baláž, Ľ. Horanská, M. Jasem, A. Maťašovský, S. Pavlíková, T. Visnyai (2021/2022 – Winter)
V. Baláž, M. Jasem, M. Langerová, S. Pavlíková, T. Visnyai (2020/2021 – Winter)
Ľ. Horanská, M. Jasem, N. Krivoňáková, P. Viceník, T. Visnyai (2019/2020 – Winter)
Š. Boor, Ľ. Horanská, N. Krivoňáková, P. Viceník, T. Visnyai (2018/2019 – Winter)
Š. Boor, M. Gall, Ľ. Horanská, M. Jasem, A. Maťašovský, S. Pavlíková, P. Viceník, T. Visnyai (2017/2018 – Winter)
V. Baláž, Š. Boor, Ľ. Horanská, M. Jasem, A. Maťašovský, S. Pavlíková, P. Viceník, T. Visnyai (2016/2017 – Winter)
Learning outcomes of the course unit:
The seminar is intended to deepen and thoroughly practice the knowledge acquired in the course Mathematics II. After completing the course, the student is better able to solve examples from the topics of differential and integral calculus of functions of several variables, differential equations, line integral theory and can apply calculation methods in chemistry and physics, can use the appropriate mathematical apparatus to solve problems.
Prerequisites for registration:
none
Course contents:

The basics of differential and integral calculus of real-valued functions of several real variables, especially of real-valued functions of two real variables. Applications of local extrema in examples from the fields of chemistry and physics. Ordinary differential equations. First- and second-order linear differential equations with constant coefficients and their applications in physics and chemistry. Double integrals. Vector fields, line integrals of vector fields. Applications.

1. a) The basics of differential and integral calculus of real functions of several variables, especially of real functions of two variables (allocated 0/4)
b) Applications of local extrema in examples from the fields of chemistry and physics. (allocated 0/2)
c) Gradient, linearization, tangent plane. (allocated 0/2)

2. a) Ordinary differential equations. First- and second-order linear differential equations with constant coefficients. (allocated 0/6)
b) Applications of differential equations in physics and chemistry. (allocated 0/2)

3. Double integrals and their applications. (allocated 0/4)

4. a) Vector fields, line integrals of vector fields. (allocated 0/2)
b) Calculation methods of line integrals. (allocated 0/2)

Recommended or required reading:
Recommended:
  • KRAJŇÁKOVÁ, D. Matematika: Zbierka úloh z matematiky. Bratislava : Alfa, 1986. 222 s.
  • JASEM, M. KOLESÁROVÁ, A. Matematika II, Zbierka úloh. Bratislava: Nakladateľstvo STU, 2012. 172 s. ISBN 978 80 227 3663 3. [podrobnosti]
  • KOLESÁROVÁ, A. BALÁŽ, V. Matematika II. Bratislava: Slovenská technická univerzita v Bratislave, 2011. 261 s. ISBN 978 80 227 3493 6. [podrobnosti]
Planned learning activities and teaching methods:
Contact teaching: exercises 26h. Contactless teaching: preparation for exercises (12h), preparation of final quiz (12h)
Assesment methods and criteria:
Evaluation is based 50% on the work during the semester, 50% from the final quiz. The rating is based on the standard FCHPT scale.(classifical kredit)
Language of instruction:
Slovak, English
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