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Last update: NOVOTNAJ/PEDF.CUNI.CZ (31.08.2008)
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Last update: NOVOTNAJ/PEDF.CUNI.CZ (31.08.2008)
Subject aiming to acquaint students with these basic parts of algebra and theoretical arithmetic on which school mathematics is based and which serve as tools for other mathematical disciplines in teacher training. |
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Last update: NOVOTNAJ/PEDF.CUNI.CZ (31.08.2008)
Katriňák: Algebra a teoretická aritmetika, Alfa Bratislava Novotná Jarmila, Trch Milan: Algebra a teoretická aritmetika, sbírka příkladů, část 2, Polynomická algebra, Karolinum, 2000 |
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Last update: NOVOTNAJ/PEDF.CUNI.CZ (31.08.2008)
lecture & practice, in some cases (numerical methods) supported by the use of computers. |
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Last update: NOVOTNAJ/PEDF.CUNI.CZ (31.08.2008)
Ring, domain of integrity, field. Algebraic and functional definitions of a polynomial. Divisibility of polynomials, reducible and irreducible plynomials. Substituting into a polynomial, roots, decomposition into prime factors. Algebraic equation (with one unknown), solutions and solvability. Greatest common divisor of polynomials, Euclidean algorithm. Derivative of a polynomial, simple and multiple roots. Numerical methods for finding real roots. Approximation of a function by a polynomial, Lagrange interpolation polynomial |