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Lecturer(s)
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Zdráhal Tomáš, doc. RNDr. CSc.
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Course content
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Properties of roots of polynomials Multiplicity roots of polynomials, Horner scheme. The derivative of a polynomial. Polynomial one indeterminate over the field of complex a field of real numbers. symmetric polynomials The main theorem on symmetric polynomials, using symmetric polynomials. Algebraic solution of algebraic equations Binomial equations, algebraic solvability of algebraic equations grade 3 and 4. Solution reciprocal equations of a type 1 and 2.
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Learning activities and teaching methods
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Lecture
- Homework for Teaching
- 50 hours per semester
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Learning outcomes
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The aim of the course is to provide deeper insight into selected topics of algebra (symmetric polynomials, algebraic solvability of algebraic equations) in order to extend and update knowledge of algebra courses for teaching degree in mathematics for 2nd grade of primary school. The subject was upgraded under the project "Study to expand vocational qualifications (§ 6 Decree č.317/2005 Coll.)", Reg CZ.1.07/1.3.00/19.0014.
Ability to abstract basic algebraic operations on numeric fields into more branches integrity.
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Prerequisites
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Successful completion of the course Algebra 1.
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Assessment methods and criteria
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Oral exam
Examination in Algebra 2 will be written and oral. The written part will be re-develop at least 2 of the 3 given exercise - this time it will exercise from pages 186 - 251st Again, it is recommended that you forward to solve all the exercises, the test will be possible to use these custom solutions. In addition to the active oral understanding summoned solutions will be demonstrated knowledge of the subject Algebra 2 (especially definitions and theorems (without proofs)) on pp 186 - 251.
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Recommended literature
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