Course: Mathematics 1

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Course title Mathematics 1
Course code KMT/IMA1
Organizational form of instruction Lecture + Exercise
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 3
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Bártek Květoslav, Mgr. Ph.D.
  • Novák Bohumil, doc. PhDr. CSc.
  • Laitochová Jitka, doc. RNDr. CSc.
  • Bártková Eva, Mgr. Ph.D.
Course content
Mathematics and its importance within natural and technical sciences. Basic knowledge of logic and set theory. Numberal systems. Rudiments of algebra, Boolean algebra. Discrete mathematics (combinatorics, graph theory).

Learning activities and teaching methods
Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming), Work with Text (with Book, Textbook)
Learning outcomes
The course acquaints students with mathematics and its importance in the natural sciences and technology, as well as the basic knowledge of logic and set theory, numerical systems and disciplines and basic knowledge of algebra, Boolean algebra and discrete mathematics (combinatorics, graph theory).
Sznoptic knowledge of mathematics in the range suitable for further study of Information Technologies in Education.
Prerequisites
The knowledge and skills of secondary school mathematics.

Assessment methods and criteria
Written exam

Passing a test.
Recommended literature
  • Bušek, I., Calda, E. (2001). Matematika pro gymnázia. Základní poznatky. Praha : Prometheus.
  • Herman, J. aj. (2001). Metody řešení matematických úloh II.. Brno : MU.
  • Kopka, J. (1991). Svazy a Booleovy algebry. UJEP Ústí nad Labem.
  • Matoušek, J., Nešetřil, J. (1997). Kapitoly z diskrétní matematiky.. Praha : Karolinum.
  • Odvárko, O. (1973). Booleova algebra. Praha : Mladá fronta.
  • Polák, J. (1998). Přehled středoškolské matematiky. Prometheus, Praha.
  • Škrášek, J.; Tichý, Z. (1990). Základy aplikované matematiky I-III. SNTL, Praha.
  • Šmarda, B. Lineární algebra. Praha : SPN.
  • Štěpán, J. (1995). Formální logika. Olomouc : FIN.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Education Information Education with Focus on Education (BB15) Pedagogy, teacher training and social care 1 Winter
Faculty of Education Information Education with Focus on Education (BB14) Pedagogy, teacher training and social care 1 Winter
Faculty of Education Fundamentals of the technical sciences and information technologies in education (CA16) Pedagogy, teacher training and social care 1 Winter
Faculty of Education Information Education with Focus on Education (BB14) Pedagogy, teacher training and social care 1 Winter
Faculty of Education Information Education with Focus on Education (BB16) Pedagogy, teacher training and social care 1 Winter
Faculty of Education Information Education with Focus on Education (BB13) Pedagogy, teacher training and social care 1 Winter
Faculty of Education Information Education with Focus on Education (BB15) Pedagogy, teacher training and social care 1 Winter
Faculty of Education Information Education with Focus on Education (BB16) Pedagogy, teacher training and social care 1 Winter