Course: Selected parts of modern mathematics with regard to mathematical literacy

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Course title Selected parts of modern mathematics with regard to mathematical literacy
Course code KMT/XVPM@
Organizational form of instruction no contact
Level of course Doctoral
Year of study 2
Semester Winter and summer
Number of ECTS credits 7
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Dofková Radka, doc. PhDr. Ph.D.
  • Pastor Karel, doc. Mgr. Ph.D.
Course content
unspecified

Learning activities and teaching methods
unspecified
Learning outcomes
Prerequisites
unspecified

Assessment methods and criteria
unspecified
Recommended literature
  • ACZÉL, J. (1966). Lectures on functional equations and their applications. Academic press, New York - San Francisko - London.
  • ALEKSEJEV, V. M., TICHOMIROV V.M., FOMIN S.V. (1991). Matematická teorie optimálních procesů. Praha: Academia.
  • ANDRES J., JÜTTNER L., PASTOR K. (2005). On a multivalued version of the Sharkovskii theorem and its application to differential inclusions, II.. Set-Valued Analysis 13, 47-68.
  • BERÁNEK, J. (2004). Funkcionální rovnice. Masarykova Univerzita Brno.
  • BLOCK L. (1981). Periods of periodic points of maps of the circle which have a fixed point. Proc. Amer. Math. Soc. 82, 481-486.
  • DAVIDOV, L. (1984). Funkcionální rovnice. Škola mladých matematiků 55. Mladá fronta, Prah.
  • DOŠLÝ, O. (2005). Základy konvexní analýzy a optimalizace v Rn.. Brno: Masarykova univerzita.
  • KUCZMA, M. (1985). An introduction to the theory of functional equations and inequalities, Cauchy's equation and Jensen's inequality. PWN, Warszawa - Kraków - Katowice.
  • LUKEŠ, J. (2012). Zápisky z funkcionální analýzy. Praha: Karolinum.
  • NEUMAN, F. (1986). Funkcionální rovnice, Matematický seminář SNTL. Praha.
  • OPAVA, Z. (1989). Matematika kolem nás. Praha: Albatros.
  • SMALL, G. C. (2007). Functional Equations and How to Solve Them. Springer.
  • SMÍTAL, J. (1984). O funkciách a funkcionálnych rovniciach. Knižnica Epsilon, Alfa, Bratislava.
  • ZDRÁHAL, T. (2009). Functional Equations and Elementary Functions. Acta Universitatis Purkynianae 154, Studia Mathematica, Ústí nad Labem.
  • ZDRÁHAL, T. (2006). Zobecněné elementární funkce. Acta Universitatis Purkynianae 125, Studia Mathematica, Ustí nad Labem.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Education Study plan (Version): Mathematical literacy in education (DC23) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Mathematical literacy in education (DC24) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Mathematical literacy in education (DC21) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Mathematical literacy in education (DC22) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Mathematical literacy in education (DC20) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Mathematical literacy in education (DC20) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Mathematical literacy in education (DC23) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Mathematical literacy in education (DC22) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Mathematical literacy in education (DC24) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter
Faculty: Faculty of Education Study plan (Version): Mathematical literacy in education (DC21) Category: Mathematics courses 2 Recommended year of study:2, Recommended semester: Winter