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Lecturer(s)
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Prusek Ondřej, Ing. Ph.D.
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Course content
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Function and its properties, overview of basic elementary functions. Sequences, limit of a sequence, limit of a function. Derivation of a function, application of differential calculus. L'Hospital's rule, tangent of function, progress of function. Primitive function and indefinite integral, integration methods. Definite integral, calculation of area under a curve, numerical methods. Systems of linear algebraic equations, matrices, determinants.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
- Contact teaching
- 48 hours per semester
- Home preparation for classes
- 6 hours per semester
- Preparation for an exam
- 2 hours per semester
- Preparation for a final test
- 2 hours per semester
- Preparation for a partial test
- 2 hours per semester
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Learning outcomes
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The aim of the course is to master fundamentals of mathematical analysis, differential and integral calculus of functions of one variable and of linear algebra.
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Prerequisites
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The student will be able to solve mathematical exercises in the examined themes and apply mathematical procedures when solving specific realistic tasks.
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Assessment methods and criteria
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Oral examination, Written examination
completion of the written examination oral examination
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Recommended literature
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Cabrnochová, Renáta. Průvodce předmětem matematika I.. Pardubice: Univerzita Pardubice, 2003. ISBN 80-7194-591-9.
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Cabrnochová, Renáta. Průvodce předmětem matematika I.. Pardubice: Univerzita Pardubice, 2004. ISBN 80-7194-694-X.
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Kolda, Stanislav. Matematika : úvod do lineární algebry a analytické geometrie. Pardubice: Univerzita Pardubice, 2004. ISBN 80-7194-709-1.
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Kulička, Jiří. Elementární algoritmy aplikované matematiky : studijní opora. Pardubice: Univerzita Pardubice, 2014. ISBN 978-80-7395-846-6.
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Machačová, Ludmila. Matematika : základy diferenciálního a integrálního počtu. Pardubice: Univerzita Pardubice, 2003. ISBN 80-7194-577-3.
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