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Lecturer(s)
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Dofková Radka, doc. PhDr. Ph.D.
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Zdráhal Tomáš, doc. RNDr. CSc.
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Pastor Karel, doc. Mgr. Ph.D.
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Course content
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Introduction to propositional and predicate logic. Algebraic structures with one or two operations. Vector spaces - linear dependency, basis, dimensions, orthogonality. Linear algebra.
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Learning activities and teaching methods
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Lecture, Monologic Lecture(Interpretation, Training)
- Homework for Teaching
- 50 hours per semester
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Learning outcomes
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The course main objective is an active understanding of basic algebraic concepts necessary for further study of algebra and other mathematical disciplines.
Competence in the basis of arithmetic; student will be able to solve tasks and problems of arithmetic and finally realizes the connection with other mathematical subjects.
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Prerequisites
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Active knowledge of algebra within the teaching of mathematics for 2nd grade of primary school.
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Assessment methods and criteria
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Mark, Oral exam, Student performance
A necessary condition for obtaining credit is at least 70% attendance at seminars. In addition, credit will be given only if the student is under the control test solves at least 2 of the 3 assigned tasks - this is a slight modification of the tasks that are formulated at the end of each chapter textbook Kopecký M.: Základy algebry. It is therefore recommended that you find all these tasks by itself resolve; during this test will be able to use their own solutions - but it will be demonstrated active understanding summoned solutions! The tests will be necessary to demonstrate a basic knowledge of substances (in particular definitions and theorems (without proof)) in the range of the whole textbook.
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Recommended literature
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BLAŽEK, J. a kol.: Algebra a teoretická aritmetika 1. Praha: SPN 1985..
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BLAŽEK, J. a kol.: Algebra a teoretická aritmetika 1, 2. Praha: SPN, 1983, 1985.14-514-83, 14-470-85..
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KATRIŇÁK, T. a kol.: Algebra a teoretická aritmetika 1. Bratislava, Praha: ALFA, SNTL, 1985. 63-568-85..
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KOPECKÝ, M.: Aritmetika, pracovní skriptum, Olomouc, UP, 1999.
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Kopecký, M: Základy algebry, Olomouc UP, 1998;.
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KOPECKÝ, M.: Základy algebry. Olomouc. VUP 1998. ISBN 80-244-0683-7.
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ŠALÁT, T. a kol.: Algebra a teoretická aritmetika 2. Bratislava, Praha: ALFA, SNTL, 1986. 63-554-86..
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BLAŽEK, J. a kol. (1985). Algebra a teoretická aritmetika 1.. Praha: SPN.
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Kopecký, M. (1998). Základy algebry. Olomouc, UP.
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Kořínek V. (1956). Základy algebry. NČSAV Praha.
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