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Lecturer(s)
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Jehlička Vladimír, doc. Ing. CSc.
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Slavíček Ondřej, Mgr. Ph.D.
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Course content
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Introduction to Mathematics I. Essentials of propositional and predicate calculus (proposition, propositional form, logic operators, quantifiers). Sets (Numerical sets, set operations). Essentials of mathematical analysis (mapping, sequence, limit of sequence, function, limit of functions, fractional rational function, factorization into partial fractions). Differential calculus of a function with one variable (derivation of a function, differentials, Taylor's theorem, course of a function). Integral calculus of a function with one variable (improper and proper integral, integration method, special substitution, infinite integral). Infinite series (numerical and function series, criteria of convergence).
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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), Methods of individual activities
- Contact teaching
- 26 hours per semester
- Home preparation for classes
- 26 hours per semester
- Preparation for an exam
- 158 hours per semester
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Learning outcomes
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To acquaint students with the basics of mathematical analysis, especially with the differential and integral calculus of one real variable and counting with endless numerical and functional series.
Students will be able to solve mathematical exercises in all lectured topics and apply mathematical methods in solving concrete exercises in the follow-up courses.
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Prerequisites
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General knowledge in secondary education in mathematics.
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Assessment methods and criteria
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Oral examination, Written examination
The examination is written. Student may improve the final grade with an oral examination.
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Recommended literature
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Jehlička, Vladimír. Matematika I : multimediální studijní opora (videozáznamy přednášek). Pardubice: Univerzita Pardubice, 2014. ISBN 978-80-7395-824-4.
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Jehlička, Vladimír. Matematika I. Pardubice: Univerzita Pardubice, 2012. ISBN 978-80-7395-463-5.
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Kulička, Jiří. Elementární úlohy z matematiky. Pardubice: Univerzita Pardubice, 2013. ISBN 978-80-7395-711-7.
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Prachař, Otakar. Minimum z předmětu matematika I. Pardubice: Univerzita Pardubice, 2013. ISBN 978-80-7395-597-7.
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Seibert, Jaroslav. Úvod do studia matematiky na Univerzitě v Pardubicích. Pardubice: Univerzita Pardibuce, 2011. ISBN 978-80-7395-455-0.
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Zahrádka, Jaromír. Minimum z předmětu matematika I. : distanční opora.. Pardubice: Univerzita Pardubice, 2011. ISBN 978-80-7395-362-1.
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