F1550 Practicum of mathematics

Faculty of Science
Autumn 2013
Extent and Intensity
0/3/0. 3 credit(s) (plus extra credits for completion). Type of Completion: graded credit.
Teacher(s)
Mgr. Lenka Czudková, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: Mgr. Lenka Czudková, Ph.D.
Supplier department: Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Timetable of Seminar Groups
F1550/01: Tue 11:00–13:50 F3,03015
F1550/02: Wed 13:00–15:50 F3,03015
Prerequisites
There are no special requirements.
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 course is focused on the repetition, completion and improving of knowledge and on the getting of practical skills in fundamentals of mathematical disciplines (algebra, geometry, combinatorics, differential and integral calculus) on the secondary-school level and on the basic level of bachelor course of mathematics. These skills are useful and needful for physical courses of the first and second semester that somewhat goes before university courses of mathematics.
Thus, the main objectives can be summarized as follows: to repeat and complete knowledge of the secondary-school mathematics; to get practical and routine numerical skills on the both secondary-school level and basic level of the bachelor course
Syllabus
  • 1. Modification of algebraic expressions.
  • 2. Goniometry and trigonometry.
  • 3. Systems of linear and quadratic equations.
  • 4. Test (topics 1.- 3.). Limits and differentiations.
  • 5. Integration I.
  • 6. Integration II.
  • 7. Characterictics of trajectories.
  • 8. Test (topics 4.-7.). Parametrical na general equations of curves and surfaces.
  • 9. Analytic geometry of lines and planes.
  • 10. Analytic geometry of conics.
  • 11. Test (topics 8.-10.). Some simple differential equations with physical meaning.
  • 12. Combinatorics.
  • 13. Test (topics 11. and 12.). Topic by request of the students.
Literature
  • Sbírky maturitních příkladů z matematiky
  • DEMIDOVIČ, Boris Pavlovič. Sbírka úloh a cvičení z matematické analýzy. 1. vyd. Havlíčkův Brod: Fragment, 2003, 460 s. ISBN 8072005871. info
Teaching methods
Teacher starts every topic with the theoretical summary of basic concepts and ideas. Then students individually solve given concrete examples, and discuss their solutions in details.
Assessment methods
graded credit (4 written tests during the semester, homeworks, necessity to frequent the course (this requirement is possible to compensate by solving examples))
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course can also be completed outside the examination period.
The course is taught annually.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 2010 - only for the accreditation, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, spring 2012 - acreditation, Autumn 2012, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017.
  • Enrolment Statistics (Autumn 2013, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2013/F1550