PřF:M7500 Algebra 3 - Course Information
M7500 Algebra 3
Faculty of ScienceAutumn 2008
- Extent and Intensity
- 2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
- Teacher(s)
- Mgr. Michal Bulant, Ph.D. (lecturer)
- Guaranteed by
- doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Thu 14:00–15:50 MP2,01014a
- Timetable of Seminar Groups:
- Prerequisites
- Knowledge of basic algebra
- Course Enrolment Limitations
- The course is offered to students of any study field.
- Course objectives
- Main topics of the course are: - Factorization of grupoids, groups and rings, field extensions. - Construction of number domains (an axiomatic development of natural numbers, integers, and the fields of rational, real, and complex numbers). At the end of this course, students should understand the construction of the basic numbers and be able to further study further topics of algebra and field theory.
- Syllabus
- Construction of number domains (an axiomatic development of natural numbers, integers, and the fields of rational, real, and complex numbers). Quotient groups and fields, field extensions, ruler and compass constructions Algebraic and transcendental numbers The Fundamental Theorem of Algebra
- Literature
- KUČERA, Radan and Ladislav SKULA. Číselné obory. 1st ed. Brno: Masarykova univerzita, 1998, 95 pp. ISBN 80-210-1965-4. info
- CAMERON, Peter J. Introduction to Algebra. Oxford University Press, 2001, 295 pp. ISBN 0-19-850194. info
- DUMMIT, David Steven and Richard M. FOOTE. Abstract algebra. 3rd ed. Hoboken, N.J.: John Wiley & Sons, 2004, xii, 932. ISBN 0471433349. info
- SKULA, Ladislav. Algebra a teoretická aritmetika. 1. vyd. Praha: Státní pedagogické nakladatelství, 1984, 117 s. info
- Assessment methods
- lectures, class discussion, homeworks. final written and oral exam
- Language of instruction
- Czech
- Follow-Up Courses
- Further Comments
- Study Materials
The course is taught annually. - Teacher's information
- http://www.math.muni.cz/~bulik/vyuka/Algebra-3/
- Enrolment Statistics (Autumn 2008, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2008/M7500