Course: Mathematics 2

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Course title Mathematics 2
Course code KAG/PGSM2
Organizational form of instruction Lecture
Level of course Doctoral
Year of study not specified
Semester Winter and summer
Number of ECTS credits 12
Language of instruction Czech, English
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Rachůnek Jiří, prof. RNDr. DrSc.
Course content
Further of the areas Mathematical analysis, Algebra, Geometry. Mathematical analysis: Functions of complex variable Ordinary differential equations Functional analysis Mathematical analysis of curves and surfaces Algebra: Theory of numbers Boolean algebra Numerical methods Applications of groups and fields Geometry: Projective geometry Topologicals structures Differential geometry Axiomati system of the geometry Elementary geometry

Learning activities and teaching methods
Dialogic Lecture (Discussion, Dialog, Brainstorming), Work with Text (with Book, Textbook)
Learning outcomes
Master essential tools of further of subjects: Mathematical analysis, Algebra, Geometry.
1. Knowledge Describe advanced basics of the algebra or the geometry or the mathematical analysis.
Prerequisites
unspecified

Assessment methods and criteria
Oral exam

Recommended literature
  • Kolekce učebnic Matematika pro gymnázia. Prométheus Praha.
  • Berger, M. (1987). Geometry I, II. Universitext Springer-Verlag Berlin.
  • Brabec, J., Hrůza, B. (1986). Matematická analýza II. SNTL, Praha.
  • Buchanan, J. I., Turner, P. R. (1992). Numerical methods and analysis. New York.
  • Cederberg, N. (1995). A course in Modern Geometries. Springer-Verlag.
  • Conway, J. B. (1990). A course in functional analysis. Springer.
  • Conway, J. B. (1984). Functions of One Complex Variable. Springer New York Inc.
  • Čižmár, J. (1984). Grupy geometrických transformací. Alfa, Bratislava.
  • Halaš, R. (1997). Teorie čísel. VUP Olomouc.
  • Kopka, J. (1991). Svazy a Booleovy algebry. UJEP Ústí nad Labem.
  • Lidl, R., Pilz, G. (1998). Applied Abstract Algebra. Springer New York.
  • Míka, S. (1985). Numerické metody algebry. SNTL Praha.
  • Molnár, J. a kol. (2001). Matematika 6, 7, 8, 9 s komentářem pro učitele. Prodos Olomouc.
  • Nathanson, M. B. (2000). Elementary methods in number theory. Springer.
  • Oprea, J. (2007). Differential geometry and its aplications. MAA Pearson Educ.
  • Ráb, M. (1998). Metody řešení obyčejných diferenciálních rovnic. MU Brno.
  • Rachůnek, J. (2005). Grupy a okruhy. VUP Olomouc.
  • Rachůnek, L., Rachůnková, I. (2004). Diferenciální počet funkcí více proměnných. VUP Olomouc.
  • Štěrbová, M. (1989). Úvod do obecné topologie. UP Olomouc.
  • Taylor, A. E. (1977). Úvod do funkcionální analýzy. Academia, Praha.
  • Vanžurová, A. (1986). Axiomatická výstavba geometrie. VUP Olomouc.
  • Vanžurová, A. (1996). Diferenciální geometrie křivek a ploch. UP Olomouc.
  • Waerden, L. (1971). Algebra I. Springer-Verlag Berlin, Heidelberg, New York.
  • Zeman, J. (1998). Úvod do komplexní analýzy. VUP Olomouc.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester