UOPK_0004 Basics of Advanced Mathematics

Faculty of Education
Autumn 2013
Extent and Intensity
0/0/.8. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
doc. RNDr. Petr Sládek, CSc. (lecturer)
Mgr. Renáta Bednárová (lecturer)
Mgr. Ivana Medková, Ph.D. (lecturer)
Guaranteed by
doc. RNDr. Petr Sládek, CSc.
Department of Physics, Chemistry and Vocational Education – Faculty of Education
Contact Person: Mgr. Bc. Lucie Viková
Supplier department: Department of Physics, Chemistry and Vocational Education – Faculty of Education
Timetable
Sat 5. 10. 13:55–15:35 učebna 1, Sat 26. 10. 16:40–18:20 učebna 1, Sat 2. 11. 15:45–18:20 učebna 1, Sat 30. 11. 10:15–12:50 učebna 1
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
there are 6 fields of study the course is directly associated with, display
Course objectives
The aim of this course is to obtain a clear knowledge bases of higher mathematics. Emphasis is placed on the logical construction of the science disciplines and to acquire knowledge and skills needed to understand subjects of the study program.
Syllabus
  • I. coordinates, vectors. Cartesian coordinates on the line in the plane and space, polar coordinates. The concept of the vector, vector space, the census vectors, scalar and vector product, the concept of vector base. II. Functions of one variable Graf functions, features, functions, some basic functions. The notion of limits and continuity. Derivative of a function, differential. The notion of primitive functions, indefinite integral. The calculation of indefinite integral. Some integral and its calculation. III. Series and sequences. 1st Series and sequences.
Literature
  • JIRÁSEK, F., KRIEGELSTEIN, E., TICHÝ, Z.: Sbírka řešených příkladů z matematiky. SNTL, Alfa, Praha 1987.
  • KALAS, Josef and Jaromír KUBEN. Integrální počet funkcí více proměnných. 1. vyd. Brno: Masarykova univerzita, 2009, vi, 272. ISBN 9788021049758. info
  • NOVÁK, Vítězslav. Integrální počet funkcí jedné reálné proměnné. Vyd. 1. Brno: Masarykova univerzita v Brně, 2005, 93 s. ISBN 8021038500. info
  • NOVÁK, Vítězslav. Diferenciální počet funkcí jedné reálné proměnné. 1. vyd. Brno: Masarykova univerzita v Brně, 2004, 158 s. ISBN 802103386X. info
Teaching methods
lecture
Assessment methods
Credit test - written and oral.
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.
Information on the extent and intensity of the course: 10 hodin.
Teacher's information
http://amper.ped.muni.cz/sladek
The course is also listed under the following terms Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2017.
  • Enrolment Statistics (Autumn 2013, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2013/UOPK_0004