230-0400/04 – Basics of Mathematics (ZM)
| Gurantor department | Department of Mathematics | Credits | 2 |
| Subject guarantor | Mgr. Dagmar Dlouhá, Ph.D. | Subject version guarantor | Mgr. Dagmar Dlouhá, Ph.D. |
| Study level | undergraduate or graduate | | |
| | Study language | English |
| Year of introduction | 2019/2020 | Year of cancellation | |
| Intended for the faculties | HGF | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
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. Students should learn how to
analyze problems, distinguish between important and unimportant, suggest a
method of solution, verify each step of a method, generalize achieved results,
analyze correctness of achieved results with respect to given conditions, apply
these methods while solving technical problems, understand that mathematical
methods and theoretical advancements outreach the field mathematics.
Teaching methods
Individual consultations
Tutorials
Other activities
Summary
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.
Compulsory literature:
Recommended literature:
http://mdg.vsb.cz/portal/
Bartsch, Hans Jochen: Handbook of Mathematical Formulas.
Moore,C: Math quations and inequalities, Science & Nature, 2014.
Burdette, A.C.:An Introduction to Analytic Geometry and Calculus,Academic Press,1973.
Way of continuous check of knowledge in the course of semester
Tests and credits
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Conditions for obtaining credit points (CP):
- participation in exercises, 20% can be to apologize,
- successful passing of the test in secondary school mathematics, minimun 51 points,
- student can ask for writing of the test during semester.
E-learning
Other requirements
There are no other requests.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Week. Tutorial
1st Functions: properties, domain, linear, quadratic, cubic, irrational and rational functions.
2nd Exponential and logarithmic functions. Evaluation of logarithms. Exponential equations and inequalities.
3rd Goniometric functions, their graphs and values. Trigonometric equations and inequalities.
4th Mathematical logic: constants, variables, statements and operations.
5th Set theory: types of sets, operations with sets, sets of numbers, intervals.
6th Algebraic expressions: polynomials, fractions, powers, roots.
7th Equations: linear, linear with parameters, quadratic, irrational, systems of two linear equations.
8th Inequalities: linear, quadratic, systems.
9th Absolutní value: geometric interpretation, equations and inequalities.
10th Basics of analytical geometry: vectors, lines, circle, determination of the center and radius.
11th Elipsis, hyperbole, parabole: determination of parameters.
12th Sequences and series.
13th Complex numbers.
14th Tests and credits.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
Předmět neobsahuje žádné hodnocení.