Mode of delivery, planned learning activities and teaching methods:
seminar – 2 hours weekly (on-site method)
Biotechnológia – bachelor (full-time, attendance method), 2. semester Chemical Engineering – bachelor (full-time, attendance method), 2. semester Chemistry, Medical Chemistry and Chemical Materials – bachelor (full-time, attendance method), 2. semester Potraviny, výživa, kozmetika – bachelor (full-time, attendance method), 2. semester Automation, Information Engineering and Management in Chemistry and Food Industry – bachelor (full-time, attendance method), 2. semester
Level of study:
Prerequisites for registration:
Learning outcomes of the course unit:
The seminar should serve to deepen and thoroughly practicing of knowledge acquired in course unit Mathematics II. Is intended to help for students to solving some examples from differential and integral calculus of function of more than one variable, differential equations, theory of line integrals and series. They will be included examples from the field of chemistry and physics, where are used appropriate mathematical techniques to solve problems.
The basics of differential and integral calculus of real functions of more than one variables with special regard to real functions with two variables. Application of local extrema in examples from the field of chemistry and physics.
Ordinary differential equations. First- and second-order ordinary differential equation with constant coefficients and their applications in chemistry and physics. Double integral. Vector fields, line integral of vector fields. Arithmetic and power series. Applications.
Recommended or required reading:
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]
Institute of Information Engineering, Automation and Mathematics was established in 1.1.2006 from two departments: Department of Information Engineering and Process Control and Department of Mathematics.