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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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Algebraic structures. Rings and subrings. Isomorphism of rings. Integral domains, division rings, and fields. Ideals, congruences on rings and factor rings. Algebraic equations over integral domains. Polynomial algebra Solving binomial equations. Quadratic and cubic equations over C. Reciprocal equations. Linear algebra Matrices. Systems of linear equations. Systems of linear equations with a unique solution. Determinants.
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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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Competencies in the field of algebraic structures and linear algebra.
Ability to abstract relations in numeric fields to more general integral domains.
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Prerequisites
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Successful completion of the course WZAL 1.
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Assessment methods and criteria
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Oral exam
Active knowledge of subject matter.
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Recommended literature
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Blažek J. (1983). Algebra a teoretická aritmetika I. SPN Praha.
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EMANOVSKÝ, P.:. (2003). Algebra 2. Olomouc. VUP.
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