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Lecturer(s)
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Langová Kateřina, Mgr. Ph.D.
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Kolářová Hana, prof. RNDr. CSc.
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Course content
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Linear algebra ? vector space, basic operation with vectors, matrices and their rank, basic operations with matrices, systems of linear equations, definition and basic properties of determinant. The term function, functions graphs, the definition of continuous function, the definition of function limits, limit function theorems, the definition of derivative of function, its geometrical significance, rules for differentiation, derivate of summation, product, and ratio of functions, L´Hopitals law. Primitive function, indefinite integral, properties of indefinite integrals, the methods of integration.
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Learning activities and teaching methods
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Monologic Lecture(Interpretation, Training), Dialogic Lecture (Discussion, Dialog, Brainstorming)
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Learning outcomes
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The objective is to familiarize students with the mathematical apparatus required in the particular field of study for task and problem solving. The course aims to develop logical thinking and calculation skills. Students should understand the basic notions and should be able to define them, they should have knowledge of important theorems, know how to use the mathematical apparatus for solving examples, and gain arithmetic proficiency.
Students will know to use mathematic methods to solve simple examples of linear algebra and mathematical analysis and they will obtain a routine with that.
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Prerequisites
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Students ought to have fundamental mathematics attainments at the secondary education level.
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Assessment methods and criteria
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Mark, Written exam, Student performance
100% attendance at practical tutorials, written test, oral exam.
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Recommended literature
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Bartsch, H. J. (1996). Matematické vzorce. Praha: Mladá fronta.
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Bican, L. (2000). Lineární algebra a geometrie. Praha, Academia.
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Laitochová, J. (2007). Matematická analýza 1. Diferenciální počet - 1. část. Olomouc : Univerzita Palackého.
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Laitochová, J. (2004). Matematická analýza 1. Diferenciální počet - 2. část. Olomouc : Univerzita Palackého.
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Laitochová, J. (2003). Matematická analýza 2. Integrální počet. UP Olomouc.
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