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FPF:UIMOIBP065 Seminar in Mathematics II - Course Information

## UIMOIBP065 Seminar in Mathematics II

**Faculty of Philosophy and Science in Opava**

Summer 2021

**Extent and Intensity**- 0/2/0. 2 credit(s). Type of Completion: z (credit).
**Teacher(s)**- doc. RNDr. Luděk Cienciala, Ph.D. (seminar tutor)

doc. RNDr. Lucie Ciencialová, Ph.D. (seminar tutor) **Guaranteed by**- doc. RNDr. Luděk Cienciala, Ph.D.

Institute of Computer Science - Faculty of Philosophy and Science in Opava **Timetable of Seminar Groups**- UIMOIBP065/A: Tue 13:05–14:40 B4,
*L. Cienciala, L. Ciencialová* **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**- Information and communication technologies (programme FPF, MOI)

**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**- 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

*required literature*- M. Kočandrle - L. Boček.
**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**- Study Materials

- Enrolment Statistics (recent)

- Permalink: https://is.slu.cz/course/fpf/summer2021/UIMOIBP065