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Lecturer(s)
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Jehlička Vladimír, doc. Ing. CSc.
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Matoušová Ivana, Mgr. Ph.D.
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Course content
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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 the sequence, function, limit of functions, rational functions, factorization into partial fractions). Differential calculus of a function of one real variable (derivation of a function, tangent linearisation, Taylor's theorem, course of a function). Integral calculus of a function of one real variable (improper and proper integral, integration methods, some special substitutions, infinite integral).
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Skills training
- Home preparation for classes
- 72 hours per semester
- Contact teaching
- 18 hours per semester
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Learning outcomes
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The aim of the course is to master basic skills of mathematical analysis, differential and integral calculus of a function of one real variable, linear algebra and analytical geometry.
Students will be able to solve mathematical exercises in all lectured topics.
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Prerequisites
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unspecified
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Assessment methods and criteria
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Written examination
There are three written tests. The student's task is to solve five examples within 60 minutes. The student can earn a maximum of 20 points for each example, i.e. a total of 100 points for one written test. To obtain credit, students must score at least 40 points out of a possible 100 on at least one of the midterm written tests or score a total of at least 60 points out of a possible 200 on the two best tests.
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Recommended literature
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Prachař, Otakar. Průvodce předmětem matematika I.. Pardubice: Univerzita Padubice, 2010. ISBN 978-80-7395-329-4.
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