M7500 Algebraic Seminar for teachers

Faculty of Science
spring 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.
Abstract
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.
Key topics
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
Study resources and 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
Approaches, practices, and methods used in teaching
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.
Method of verifying learning outcomes and course completion requirements
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/
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2008, Autumn 2009, Spring 2012, Spring 2013, Spring 2015.