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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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Course content
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I. Introduction to Polynomials Definition and properties of polynomials Decomposition of polynomials of one indeterminate over the field of complex numbers (C) and the field of real numbers (R) II. Symmetric Polynomials Definition and properties of symmetric polynomials The main theorem on symmetric polynomials Applications of symmetric polynomials III. Algebraic Solutions of Algebraic Equations Introduction to algebraic solvability Binomial equations: algebraic solutions and properties IV. Algebraic Equations of Low Degrees Algebraic solvability of algebraic equations of the second degree (quadratic equations) Algebraic solvability of algebraic equations of the third degree (cubic equations) Algebraic solvability of algebraic equations of the fourth degree (quartic equations)
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Learning activities and teaching methods
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unspecified
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Learning outcomes
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The aim is understanding of algebraic solvability of algebraic equations. Polynomials Decomposition of polynomials of one indeterminate over the field of complex and field of real numbers. Symmetric polynomials The main theorem on symmetric polynomials, using symmetric polynomials. Algebraic solutions of algebraic equations Binomial equations, algebraic solvability of algebraic equations of the second, third and fourth degrees.
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Prerequisites
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High School Mathematics
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Assessment methods and criteria
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unspecified
50% attendance tutorial work The course will take place according to the schedule that the student individually agrees with the teacher.
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Recommended literature
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Haviar, M, Klenovčan, P. Basic algebra for future teachers. .
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