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Lecturer(s)
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Cvrček Milan, PhDr. Ph.D.
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Brzezina Miroslav, doc. RNDr. CSc., dr. h. c.
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Course content
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Differential calculus of functions of several variables, directional derivatives, partial derivatives and gradient. Extreme values of function. Taylor polynomials. Double integrals and their evaluation. Line integral and its applications.
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Learning activities and teaching methods
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Monological explanation (lecture, presentation,briefing), Self-study (text study, reading, problematic tasks, practical tasks, experiments, research, written assignments)
- Home preparation for classes
- 50 hours per semester
- Preparation for credit
- 25 hours per semester
- Class attendance
- 84 hours per semester
- Preparation for exam
- 60 hours per semester
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Learning outcomes
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Differential calculus of functions of several variables, directional derivatives, partial derivatives and gradient. Extreme values of function. Taylor polynomials. Double integrals and their evaluation. Line integral and its applications.
Applieing of mathematics to solve of practical problems.
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Prerequisites
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Basis facts of higher mathematics.
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Assessment methods and criteria
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Written exam
Credit: tests. Exam: Written.
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Recommended literature
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Brzezina M., Veselý J. Obyčejné (lineární) diferenciální rovnice a jejich systémy. Liberec, 2012. ISBN 978-80-7372-909-7.
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Dontová, E. Matematika III. ČVUT, Praha, 1996.
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Mezník, I., Karásek, J., Miklíček, J. Matematika I. pro strojní fakulty.. Praha, SNTL, 1992.
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Nekvinda, M. Matematika. Část 1.. Liberec : Technická univerzita v Liberci, 2001. ISBN 80-7083-447-1.
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