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Lecturer(s)
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Šulista Marek, PhDr. Ph.D.
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Vocetková Klára, Mgr. Ph.D.
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Course content
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1 - Vector and matrix algebra 2 - Vector space, linear dependence and independence, rank 3 - The determinant and its applications 4 - Inverse matrix, matrix equations 5 - Systems of linear equations 6 - Regular systems of linear equations 7 - Input-output analysis 8 - General solution of a system of linear equations 9 - Elementary functions and their properties 10 - Compound and inverse function 11 - Limit of a sequence 12 - Arithemtic and geometric sequences 13 - Infinite series
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
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Learning outcomes
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The first part of a basic mathematics course. It is focused on the basics of linear algebra, teory of functions, sequences and infinitie series.
The student will understand the basic concepts of linear algebra, the theory of functions, sequences and infinite series. He/she will use basic algorithms of linear algebra, work with elementary functions, evaluate the limits of sequences and the convergence of infinite series.
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Prerequisites
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The course has no prerequisities.
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Assessment methods and criteria
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Test
Credit requirements: - active attendance in the seminars (100 %). - completion of all tasks in the Moodle system; students who fail completning the given tasks in time before a test will not be able to take the test - total score at four tests (7 problems in each test, time allocated is 30 min) more than 50% or score in a summary test (21 problems, time allocated is 90 min) more than 50%
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Recommended literature
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BUDNICK, F. S. Applied Mathematics for Business, Economics and the Social Sciences.
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KLŮFA, J., COUFAL, J. Matematické struktury (Matematika A pro VŠE). Praha: VŠE, 1995.
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NÝDL et all. Matematika I. - Mathematics I. Cvičení - Seminar.
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Nýdl, V., Lexová, R. Matematika (Část 1 - matematické struktury). skriptum ZF JU, ČB, 1996.
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