714-0060/02 – Basics mathematics (ZM)
| Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 1 |
| Subject guarantor | Mgr. Kateřina Kozlová, Ph.D. | Subject version guarantor | Mgr. Jakub Stryja, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Optional |
| Year | 1 | Semester | winter |
| | Study language | Czech |
| Year of introduction | 2016/2017 | Year of cancellation | 2019/2020 |
| Intended for the faculties | FBI | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
Repetition of the secondary school mathematics, balancing knowledge of mathematics among students of different types of secondary schools.
Teaching methods
Tutorials
Summary
Real and complex numbers, operations with algebraic expressions, equations and inequalities, functions, exponential and logarithmic equations, trigonometric equations, analytic geometry, arithmetic and geometric sequences.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
no additional requirements
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Number sets, intervals, intervals operations (union, intersection), quantifiers, the absolute value of a real number.
Elementary functions: the function definition, domain, range of values, properties of functions (even, odd, monotonous, delimited, plain, peroidická).
Functions: linear, quadratic, power, angled linear, exponential, logarithmic, trigonometric functions (definition, domain values, graphs, properties)
Equations: linear, quadratic (in the field of complex numbers), simple irrational equations, exponential and logarithmic equations (rules for calculating with logarithms and
powers), trigonometric equations (basic relations between the trigonometric functions, the value of the arc stage
degree)
Unequations: linear inequalities in the AND and mutual shape
Domains complex functions
Algebraic Expressions - editing,
basic relationships
11th Analytic geometry in the plane I .: point, vector, line (parametric equation of a line, general equation of a line,
směrnicovém line in a segmental shape), line graph,
circle, types of equations, determining the center and radius adding a square.
Analytic geometry in the plane II. ellipse, hyperbole (lin graph. angled FCE), Dish (graph quadratic FCE).
Determining the basic parameters by adding a square.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction