Course title | Pre-calculus |
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Course code | UMB/550 |
Organizational form of instruction | Lesson |
Level of course | Bachelor |
Year of study | not specified |
Frequency of the course | In each academic year, in the winter semester. |
Semester | Winter |
Number of ECTS credits | 2 |
Language of instruction | Czech |
Status of course | Compulsory, Compulsory-optional, Optional |
Form of instruction | unspecified |
Work placements | unspecified |
Recommended optional programme components | None |
Lecturer(s) |
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Course content |
Proposition logic and introduction to the set theory. Manipulation with algebraic expressions. Functions and their properties. Algebraic elementary functions. Algebraic equations and inequalities. Complex numbers. Exponential and logarithmic functions. Exponential and logarithmic equations and inequalities. Trigonometric functions. Trigonometric equations and inequalities. Trigonometry. Sequences and series. Arithmetic and geometric sequences and series. Analytic geometry in the plane. Equations of the line and of the plane. Analytic geometry in the plane. Metric problems.
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Learning activities and teaching methods |
Monologic (reading, lecture, briefing), Demonstration
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Learning outcomes |
To survey and repeat basic undergraduate calculus.
This subject should help those students who did not pass through high level secondary school mathematics and/or did not pass a final secondary school exam from mathematics. |
Prerequisites |
We assume knowledge of basic mathematical operations with algebraic expressions, scalar functions and their graphs. We will focus mainly on repetition and practical calculation skills of secondary school mathematical subjects.
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Assessment methods and criteria |
Test
Active participation to excercises and active attempts to solve homeworks during the semester. To pass through the final writting test and reach at least 50% points. |
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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Faculty: Faculty of Science | Study plan (Version): Mathematics for future teachers (1) | Category: Mathematics courses | 1 | Recommended year of study:1, Recommended semester: Winter |
Faculty: Faculty of Science | Study plan (Version): Mathematics for future teachers (1) | Category: Mathematics courses | 1 | Recommended year of study:1, Recommended semester: Winter |
Faculty: Faculty of Science | Study plan (Version): Applied Mathematics (2010) | Category: Mathematics courses | 1 | Recommended year of study:1, Recommended semester: Winter |
Faculty: Faculty of Science | Study plan (Version): Physics for future teachers (1) | Category: Physics courses | 1 | Recommended year of study:1, Recommended semester: Winter |
Faculty: Faculty of Science | Study plan (Version): Biophysics (1) | Category: Physics courses | 1 | Recommended year of study:1, Recommended semester: Winter |
Faculty: Faculty of Science | Study plan (Version): Physics (1) | Category: Physics courses | 1 | Recommended year of study:1, Recommended semester: Winter |