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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), Dialogic (discussion, interview, brainstorming), Skills training
- Home preparation for classes
- 64 hours per semester
- Contact teaching
- 26 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
Three written tests are held during the semester. The written tests cover material that has been discussed in the seminars since the beginning of the semester, at the latest one week before the written test. The student's task is to solve five examples within 60 minutes. Students can earn a maximum of 20 points for each example, i.e., a total of 100 points for one written exam. To receive credit, students must earn at least 40 points out of a possible 100 on at least one midterm exam or earn a total of at least 60 points out of a possible 200 on their two best exams.
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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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Prachař, Otakar. Průvodce předmětem matematika I.. Pardubice: Univerzita Padubice, 2010. ISBN 978-80-7395-329-4.
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