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Lecturer(s)
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Pavlišta Martin, Ing. Ph.D.
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Course content
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Differential of function and higher order differentials. Polynomial approximation of functions. Taylor polynomial. Maclaurin polynomial. Functions of several variables. Graph of functions of several variables. Limits and continuity. Partial derivatives. The geometric meaning. Partial derivatives of higher orders. The total differential, tangent plane. Extremes of function of multiple variables. Local extrema. Global extremes. Constrained Extremes - Informational. Integral Calculus. Special substitution. Double integral. Aplications. Linear differential equations with constant coefficients. Aplications in chemistry and physics.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Work with text (with textbook, with book)
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Learning outcomes
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The aim of this course is to provide students with basics of mathematical tools with respect to their study field.
Students will be provided with basics of differential and integral calculus of more variables and with selected applications in chemistry and physics through the acquisition of computing skills and the use of web applications.
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Prerequisites
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Not specified.
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Assessment methods and criteria
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Written examination, Student performance assessment
Examination in a written form.
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Recommended literature
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Došlá, Zuzana. Matematika pro chemiky. Brno: Masarykova univerzita, 2010. ISBN 978-80-210-5263-5.
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Kolda S., Krajňáková D., Kimla A. Matematika pro chemiky II. Praha, 1990.
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Kolda S., Krajňáková D., Kimla A. Matematika pro chemiky I.. Praha, 1989.
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Krajňáková D., Míčka J., Machačová L. Zbierka úloh z matematiky. Bratislava, 1988.
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Pavlišta M. Sbírka vybraných úloh z matematiky. Pardubice 2018 (st.mat. v portálu IS/STAG).
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