UIMOIBK065 Seminar in Mathematics II

Faculty of Philosophy and Science in Opava
Summer 2021
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
Prerequisites (in Czech)
TYP_STUDIA(B)
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, confirm 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 examples within the high school mathematics of grammar school.
Syllabus
  • 1. Operations with sets and their properties.
  • 2. Divisibility, properties of divisibility, prime number, prime factor, criteria of divisibility
  • 3. Solution of simple logarithmic, exponential and trigonometric inequalities, product and fractional inequalities.
  • 4. Complex numbers, algebraic and trigonometric form of a complex number, operations with   complex numbers, square root of a complex number, solution of a quadratic equation with   real coefficients and negative discriminant.
  • 5. Analytical geometry, vector, operations with vectors, analytical expression of a line, mutual position of two lines, plane, mutual position of planes, lines and planes
  • 6. Conic sections - circle, ellipse, hyperbola, parabola.
  • 7. Coordinate systems, geometric transformations of coordinates - displacement, rotation, scaling, composition of transformations.
Literature
    required literature
  • M. Kočandrle - L. Boček. Matematika pro gymnázia - Analytická geometrie. info
  • E. Calda. Matematika pro gymnázia - Komplexní čísla. info
  • 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
    recommended literature
  • 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
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 Summer 2022, Summer 2023, Summer 2024, Summer 2025.
  • Enrolment Statistics (Summer 2021, recent)
  • Permalink: https://is.slu.cz/course/fpf/summer2021/UIMOIBK065