DS2OPA - Selected Topics in Algebra
| Course specification | ||||
|---|---|---|---|---|
| Course title | Selected Topics in Algebra | |||
| Acronym | DS2OPA | |||
| Study programme | Electrical Engineering and Computing | |||
| Module | ||||
| Type of study | doctoral studies | |||
| Lecturer (for classes) | ||||
| Lecturer/Associate (for practice) | ||||
| Lecturer/Associate (for OTC) | ||||
| ESPB | 9.0 | Status | elective | |
| Condition | ||||
| The goal | Introduce students to important notions and facts of some selected topics of algebra. | |||
| The outcome | Provide students with the ability for further work in some selected areas of algebra and applications of this knowledge in other areas of electrical engineering and computer science. | |||
| Contents | ||||
| Contents of lectures | Relations, equivalence and partial order, minimality and induction, axiom of choice. Lattices and Boolean algebras. Groups, normal subgroups and factor groups. Semigroups, representation by transformations. Rings, fields, finite fields. Universal algebras, homomorphism, isomorphism, congruence. Automata. | |||
| Contents of exercises | ||||
| Literature | ||||
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| Number of hours per week during the semester/trimester/year | ||||
| Lectures | Exercises | OTC | Study and Research | Other classes |
| 6 | ||||
| Methods of teaching | Lectures. | |||
| Knowledge score (maximum points 100) | ||||
| Pre obligations | Points | Final exam | Points | |
| Activites during lectures | 0 | Test paper | 70 | |
| Practical lessons | 0 | Oral examination | 0 | |
| Projects | 0 | |||
| Colloquia | 0 | |||
| Seminars | 30 | |||