PřF:M7500 Algebraic Seminar - Course Information
M7500 Algebraic Seminar for teachers
Faculty of Sciencespring 2012 - acreditation
The information about the term spring 2012 - acreditation is not made public
- Extent and Intensity
- 2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).
- Teacher(s)
- Mgr. Michal Bulant, Ph.D. (lecturer)
- Guaranteed by
- prof. RNDr. Radan Kučera, DSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science - 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
- Teaching methods
- Lectures: theoretical explanation with practical examples Seminars: solving problems for understanding of basic concepts and theorems, contains also more complex problems, homeworks. Oral and writtent student presentation of the theme chosen after the negotiation with the lecturer.
- Assessment methods
- Final written and oral exam (80%). Into the consideration will be also taken work during the term - especially oral presentations and solutions of homework (20%).
- Language of instruction
- Czech
- Follow-Up Courses
- Further Comments
- The course is taught annually.
The course is taught: every week. - Teacher's information
- http://www.math.muni.cz/~bulik/vyuka/Algebra-3/
- Enrolment Statistics (spring 2012 - acreditation, recent)
- Permalink: https://is.muni.cz/course/sci/spring2012-acreditation/M7500