UIMOIBK033 Seminar in Mathematics I

Faculty of Philosophy and Science in Opava
Winter 2022
Extent and Intensity
0/0/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
doc. RNDr. Luděk Cienciala, Ph.D. (lecturer)
doc. RNDr. Lucie Ciencialová, Ph.D. (lecturer)
Guaranteed by
doc. RNDr. Luděk Cienciala, Ph.D.
Institute of Computer Science – Faculty of Philosophy and Science in Opava
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 aim of the seminar is to support and expand knowledge of mathematics with a link to other subjects of the study plan, which are based on knowledge of high school mathematics, such as Mathematics I, Mathematics II and others.
Learning outcomes
After completing the course, the student will be able to:
- solve mathematical problems in the range of mathematics for grammar schools
Syllabus
  • 1. Modifications of algebraic expressions, operations with fractions, powers and roots.
  • 2. Polynomials, operations with polynomials, determination of roots, decomposition of polynomials into the product of root factors, addition to a square.
  • 3. The concept of a function, one real variable, its domain, domain of values.
  • 4. Elementary functions, their properties and graphs, transformation of graphs.
  • 5. Solution of simple algebraic equations, linear equations, quadratic and some types of equations of higher degrees.
  • 6. Systems of algebraic equations.
  • 7. Inequalities, solution of linear and quadratic inequalities and their systems, inequalities with absolute value.
  • 8. Graphical solution of equations and inequalities using graphs of elementary functions.
Literature
    required literature
  • I. Bušek - L. Boček - E. Calda. Matematika pro gymnázia - Základní poznatky z matematiky. info
  • POLÁK, J. Přehled středoškolské matematiky. Prometheus, 2015. ISBN 978-80-7196-458-2. info
  • PETÁKOVÁ, J. Matematika: příprava k maturitě a k přijímacím zkouškám na vysoké školy. Prometheus, 2012. info
  • ODVÁRKO, O. Matematika pro gymnázia: Funkce. 4. vydání. Prometheus, 2008. ISBN 978-80-7196-357-8. info
  • ODVÁRKO, O. Matematika pro gymnázia: Goniometrie. 4. vydání. Prometheus, 2008. ISBN 978-80-7196-359-2. info
  • CHARVÁT, J, J ZHOUF and L BOČEK. Matematika pro gymnázia: Rovnice a nerovnice. 4. vydání. Prometheus, 1999. ISBN 978-80-7196-362-2. info
    recommended literature
  • HEJKRLÍK, P. Funkce. Hejpa, 2014.
  • CIZLEROVÁ, M and M ZAHRADNÍČEK. Matematika pro střední školy. 4. díl: Funkce I. Didaktis, 2014. ISBN 978-80-7358-214-2. info
  • HEJKRLÍK, P. Mnohočleny a výrazy. Hejpa, 2010. info
  • HEJKRLÍK, P. Mnohočleny a výrazy. Hejpa, 2010. info
  • JANEČEK, F. Sbírka úloh pro SŠ: Výrazy, rovnice, nerovnice a jejich soustavy. Prometheus, 2010. ISBN 978-80-7196-360-8. info
  • KANTOREK, P and Z VOŠICKÝ. Matematika v kostce pro SŠ. Fragment, 2007. ISBN 978-80-253-0191-3. info
  • HEJKRLÍK, P. Rovnice a nerovnice s absolutní hodnotou, soustavy rovnic. Hejpa, 2007. info
  • HEJKRLÍK, P. Rovnice a nerovnice. Hejpa, 2006. info
Teaching methods
Seminar
Assessment methods
Compulsory participation in seminars at least 75%. The student writes two credit tests in the exercises, scored a maximum of 30 points for each. He also submits solutions to five homework assignments. He gets a maximum of 8 points for each homework. 50 points are required to obtain the credit.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
Information on the extent and intensity of the course: 10 hod/sem.
The course is also listed under the following terms Winter 2020, Winter 2021, Winter 2023, Winter 2024.
  • Enrolment Statistics (Winter 2022, recent)
  • Permalink: https://is.slu.cz/course/fpf/winter2022/UIMOIBK033