| Course Unit Code | 310-2110/04 |
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| Number of ECTS Credits Allocated | 2 ECTS credits |
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| Type of Course Unit * | Optional |
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| Level of Course Unit * | First Cycle |
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| Year of Study * | First Year |
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| Semester when the Course Unit is delivered | Winter Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | There are no prerequisites or co-requisites for this course unit |
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| Name of Lecturer(s) | Personal ID | Name |
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| JAH0037 | Mgr. Monika Jahodová, Ph.D. |
| Summary |
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Mathematics is essential part of education on technical universities.
It should be considered rather the method in the study of technical
courses than a goal. Thus the goal of mathematics is train logical
reasoning than mere list of mathematical notions, algorithms and
methods.
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| Learning Outcomes of the Course Unit |
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The set of real numbers, operations with algebraic expressions, equations and
inequalities, functions, exponential and logarithmic equations, trigonometric
functions and equations, analytic geometry, arithmetic and geometric sequences. |
| Course Contents |
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1. Numeracy. Computation wit rational and irrational numbers, intervals, operations on intervals (intersection, union, complement), absolute value of real numbers.
2-3. Polynomials and rational expressions, computation with powers and roots. Simplification of the expressions.
4-5. Linear and quadratic equations and inequalities.
6. Exponentiation with integer, whole and rational powers. Power and exponential functions.
7. Introduction to logarithms.
8. Trigonometry, sine, cosine and tangent functions as ratios between edges of a right triangle, definition by means of the unit circle. Oriented angles, their measures in degrees and radians.
9. Algebraic expressions containing elementary functions.
10. Sequences, their limits and sums. Arithmetic and geometric sequences.
11-12. Analytic geometry in a geometric plane: coordinates of a point and vector, line (equation and graph), metric properties in the plane.
13. The conic sections, their properties, and equations.
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| Recommended or Required Reading |
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| Required Reading: |
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[1] BIRD, J.: Engineering Mathematics, 4th ed. Newnes 2003.
[2] https://www.khanacademy.org/math/
Harshbarger, R.J. - Teynolds, J.J.: Calculus with Applications. D.C. Heath and Company, Lexington 1990, ISBN 0-669-21145-1 |
Polák, J.: Přehled středoškolské matematiky. SPN, Praha 1991. ISBN 80-7196-267-8
Polák, J.: Středoškolská matematika v úlohách I. Prometheus, Praha 1996. ISBN 80-7196-021-7
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| Recommended Reading: |
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| http://education-portal.com/academy/course/precalculus-course.html |
Středoškolské učebnice matematiky.
http://mdg.vsb.cz/portal/ |
| Planned learning activities and teaching methods |
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| Seminars, Tutorials, Other activities |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit | Credit | | |