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Lecturer(s)
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Brzezina Miroslav, doc. RNDr. CSc., dr. h. c.
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Drahoš Jaroslav, RNDr. CSc.
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Cvrček Milan, PhDr. Ph.D.
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Kalousek Zdeněk, RNDr. CSc.
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Course content
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Integral calculus of function of several variables and their application to geometrical, physical and technical problems. Line and surface integrals and their applications to technical calculus. Systems of ordinary differential equations with constant coefficients and their solving. Solving of ordinary differential equations and their systems by using Laplace transform.
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Learning activities and teaching methods
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Monological explanation (lecture, presentation,briefing), Written assignment presentation and defence
- Class attendance
- 56 hours per semester
- Preparation for exam
- 125 hours per semester
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Learning outcomes
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Integral calculus of function of several variables and their application to geometrical, physical and technical problems. Line and surface integrals and their applications to technical calculus. Systems of ordinary differential equations with constant coefficients and their solving. Solving of ordinary differential equations and their systems by using Laplace transform.
Calculating of double and triple integrals, solving of systems of differential equations.
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Prerequisites
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Basic knowliges of calculus.
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Assessment methods and criteria
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Written exam
Credit: Working out a semestral work. Exam: Written.
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Recommended literature
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Mezník, I., Karásek, J., Miklíček, J. Matematika I. pro strojní fakulty.. Praha, SNTL, 1992.
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Nagy, J., Nováková, E., Vacek, M. Integrální počet.. SNTL, Praha (MVŠT), 1984.
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Nekvinda, M. Matematika. Část 1.. Liberec : Technická univerzita v Liberci, 2001. ISBN 80-7083-447-1.
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Veit, J. Integrální transformace.. SNTL, Praha (MVŠT)., 1983.
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Zelinka, B. Matematika III.. VŠST, Liberec, 1994.
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