PřF:M1125 Fundamentals of Mathematics - Course Information
M1125 Fundamentals of Mathematics
Faculty of ScienceAutumn 2011 - acreditation
The information about the term Autumn 2011 - acreditation is not made public
- Extent and Intensity
- 2/2/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).
- Teacher(s)
- RNDr. Jan Vondra, Ph.D. (lecturer)
- Guaranteed by
- doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science - Prerequisites
- ! M1120 Discrete Mathematics && !NOW( M1120 Discrete Mathematics )
Knowledge of high school mathematics. - Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Mathematics for Multi-Branches Study (programme PřF, B-MA)
- Mathematics with a view to Education (programme PřF, B-MA)
- Course objectives
- The aim of the course is to repeat and enlarge high school knowledge of mathematics and then to present further topics especially of algabraic character. After passing the course, the student will be able to understand and explain basic mathematical notions and techniques and their mutual context.
- Syllabus
- 1. Basic logical notions
- 2. Basic set-theoretical notions
- 3. Basic number sets
- 4. Basic properties of integers
- 5. Mappings
- 6. Relations
- 7. Ordered sets
- 8. Equivalences and partitions
- 9. Basic algebraic structures with one operation
- 10. Basic algebraic structures with two operations
- 11.Homomorfhisms of algebraic structures.
- Literature
- HORÁK, Pavel. Cvičení z algebry a teoretické aritmetiky. 3. vyd. Brno: Masarykova univerzita, 2006, 221 s. ISBN 8021039701. info
- ROSICKÝ, Jiří. Algebra. 2. vyd. Brno: Vydavatelství Masarykovy univerzity, 1994, 140 s. ISBN 802100990X. info
- CHILDS, Lindsay. A concrete introduction to higher algebra. 2nd ed. New York: Springer, 1995, xv, 522. ISBN 0387989994. info
- Horák, Pavel. Základy matematiky. Učební text. https://www.math.muni.cz/~vondra/vyuka/p2011/zm/zm_skripta.pdf
- Teaching methods
- Lectures: theoretical explanations with practical applications. Exercises: solving problems focused on basic concepts and theorems, individual problem solving by students.
- Assessment methods
- Teaching: lectures, consultative exercises. Exam: written and oral. Current requirements: Written tests in exercises. Student's presence in exercises is obligatory.
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course is taught annually.
The course is taught: every week. - Listed among pre-requisites of other courses
- Enrolment Statistics (Autumn 2011 - acreditation, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2011-acreditation/M1125