M1130 Mathematical Seminary I

Faculty of Science
autumn 2021
Extent and Intensity
0/2/0. 2 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: z (credit).
Teacher(s)
doc. Mgr. Ondřej Klíma, Ph.D. (lecturer)
doc. Mgr. Josef Šilhan, Ph.D. (lecturer)
Guaranteed by
doc. RNDr. Martin Čadek, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable of Seminar Groups
M1130/01: Wed 8:00–9:50 M4,01024, O. Klíma
M1130/02: Wed 16:00–17:50 M2,01021, O. Klíma
M1130/03: Wed 8:00–9:50 M2,01021, J. Šilhan
M1130/04: Tue 10:00–11:50 M2,01021, J. Šilhan
Prerequisites
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
Course objectives
The main objective of the course is to recall basic high school mathematics needed for courses of mathematical analysis, linear algebra and discrete mathematics. After completing the seminar, students will be able to prove simple statements, perform calculations with inequalities, basic functions, polynomials, divisibility and also to use simple combinatorial considerations.
Learning outcomes
After the course, students should be able to understand and precisely formulate simple proofs. They should master the highschool mathematics and be able to perform computations with functions without problems.
Syllabus
  • Types of proofs, divisibility, polynomials, quadratic equations, functions and their graphs, logaritmic and exponential functions, simple proofs from analysis and linear algebra. Some basic combinatorics techniques.
Literature
  • HERMAN, Jiří, Radan KUČERA and Jaromír ŠIMŠA. Seminář ze středoškolské matematiky. 2., přeprac. vyd. Brno: Masarykova univerzita, 2004, 51 s. ISBN 9788021035287. info
  • HERMAN, Jiří, Radan KUČERA and Jaromír ŠIMŠA. Metody řešení matematických úloh I. 2., přeprac. vyd. Brno: Masarykova univerzita, 1996, 278 s. ISBN 80-210-1202-1. info
  • HORÁK, Pavel. Cvičení z algebry a teoretické aritmetiky I. 2. vyd. Brno: Masarykova univerzita, 1998, 221 s. ISBN 8021018534. info
Teaching methods
Problem solving seminar with an intensive interaction between teacher and students. A student solves problem in front of the class and other students correct her/his mistakes under the teacher supervision.
Assessment methods
3 written (on-line) tests within a semester, every for 20 points. To obtain credit one has to get at least overall 30 points and at least 5 points from each test. The second requirement is an active participation in seminars, which may be supplied by homework.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
Listed among pre-requisites of other courses
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Spring 2020, Autumn 2020, Autumn 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (autumn 2021, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2021/M1130