| Course title | Review of the high-school mathematics |
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| Course code | KMA/KSM |
| Organizational form of instruction | Lesson |
| Level of course | Bachelor |
| Year of study | not specified |
| Semester | Winter |
| Number of ECTS credits | 1 |
| Language of instruction | Czech |
| Status of course | Compulsory |
| Form of instruction | Face-to-face |
| Work placements | Course does not contain work placement |
| Recommended optional programme components | None |
| Lecturer(s) |
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| Course content |
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Linear, fractional linear and quadratic functions, square completion. Domain and image of a real function, monotonicity, and inverse function. Exponential and logarithmic functions. Goniometric and cyclometric functions. Equations and inequalities containing the absolute value. Quadratic equations and inequalities, decomposition and division of polynomials. Exponential and logarithmic equations and inequalities. Definition of complex numbers, Gauss plane and basic arithmetic operations with complex numbers. Trigonometric form of complex numbers, multiplication of numbers in trigonometric form, Moivre theorem. Powers and roots of complex numbers. Vectors, basic operations, scalar and vector product, mutual position of lines and planes in plane and space, parametrization of line and plane. Conic sections (ellipse, parabola, hyperbola). Repetition, test.
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| Learning activities and teaching methods |
Practicum
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| Learning outcomes |
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The objective of the subject is to repeat selected chapters of the high-school mathematics.
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| Prerequisites |
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-
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| Assessment methods and criteria |
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Test
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| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester |
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