F1550 Practicum of mathematics

Faculty of Science
Autumn 2010 - only for the accreditation
Extent and Intensity
0/3/0. 3 credit(s) (plus extra credits for completion). Type of Completion: graded credit.
Teacher(s)
Mgr. Pavla Musilová, Ph.D. (seminar tutor)
Mgr. Jan Skalický (seminar tutor)
Guaranteed by
prof. RNDr. Michal Lenc, Ph.D.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
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-scholl level and on the basic level of bachelor course of mathematics. Theese skills are usefull and needfull 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 repeate 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. Parametrical na general equations of curves and surfaces.
  • 3. Test (topics 1. a 2.). Limits and differentiations.
  • 4. Integration I.
  • 5. Integration II. 6. Characterictics of trajectories.
  • 7. Test (topics 3.-6.). Systems of linear and quadratic equations.
  • 8. Goniometry and trigonometry.
  • 9. Test (topics 7. and 8.). Analytic geometry of lines and planes. 10. Analytic geometry of conics.
  • 11. Some simple differential equations with physical meaning.
  • 12. Combinatorics.
  • 13. Test (topics 9.-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
Theoretical summary of basic ideas and individual solving of secondary-school problems.
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)
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, spring 2012 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017.