Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 2 |

Subject guarantor | Mgr. Monika Jahodová, Ph.D. | Subject version guarantor | Mgr. Monika Jahodová, Ph.D. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | winter |

Study language | Czech | ||

Year of introduction | 2019/2020 | Year of cancellation | |

Intended for the faculties | FS | Intended for study types | Bachelor |

Instruction secured by | |||
---|---|---|---|

Login | Name | Tuitor | Teacher giving lectures |

JAH0037 | Mgr. Monika Jahodová, Ph.D. | ||

KOT31 | RNDr. Jan Kotůlek, Ph.D. | ||

SVO19 | Mgr. Ivona Tomečková, Ph.D. | ||

VAV14 | RNDr. Eva Vavříková, Ph.D. |

Extent of instruction for forms of study | ||
---|---|---|

Form of study | Way of compl. | Extent |

Combined | Credit | 8+0 |

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.

Seminars

Other activities

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.

[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

http://education-portal.com/academy/course/precalculus-course.html

Course credit is granted for
1. Participation on tutorials. In the case of absence, homework can be handed in. 10 points.
2. Written exam classified by 0 - 90 points.
The course is successfully passed if student obtains at least 45 points for written exam and participate in tutorials.

http://education-portal.com/academy/course/precalculus-course.html

There are no other requirements

Subject has no prerequisities.

Subject has no co-requisities.

Sets (integers, whole numbers, rational and irrational numbers, real numbers), intervals, operations on intervals (intersection, union, complement,…), neighbourhood of a point, absolute value. Rational expressions: polynomials, fractions, exponents and roots.
Functions of one real variable (definition, domain, range, graph,…) Operations on functions (sum, difference, product, quotient), composite functions, properties of functions (even and odd functions, monotonic functions, bounded functions), one-to-one and inverse functions.
Elementary functions (linear, quadratic, rational and algebraic functions, exponential and logarithmic functions) and their properties. Drawing a sketch of the graph, graphs containing an absolute value. Sine and Cosine functions, trigonometric functions. Definition by means of unit circle, values in radian measure, graphs, goniometric identities.
Algebraic equations: linear equations (possibly with a parameter), quadratic equations (solutions in real numbers and in the complex plane), irrational equations. Systems of two linear (and non-linear) equations in two unknowns. Linear inequalities (solutions by null point method), system of linear inequalities The Exponential and logarithmic equations (inequalities respectively), properties of logarithms.
Analytic geometry in a geometric plane: point, vector, line (equations and a graph), circle (equations, determining its centre and radius). The conic sections: the ellipse, the hyperbola (as a graph of a linear rational function), the parabola (as a graph of a quadratic function). Properties of conics. Tangents to conic sections. Finding common points of a line and a conic.

Task name | Type of task | Max. number of points
(act. for subtasks) | Min. number of points |
---|---|---|---|

Credit | Credit | 100 (100) | 51 |

Písemka | Written test | 100 | 51 |

Show history

Academic year | Programme | Field of study | Spec. | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
---|---|---|---|---|---|---|---|---|---|---|---|

2019/2020 | (B2341) Engineering | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B2341) Engineering | K | Czech | Šumperk | 1 | Compulsory | study plan | ||||

2019/2020 | (B3907) Energetics | (3907R012) Energetics of the 21st Century | K | Czech | Ostrava | 1 | Compulsory | study plan | |||

2019/2020 | (B2341) Engineering | K | Czech | Uherský Brod | 1 | Compulsory | study plan | ||||

2019/2020 | (B0715A270011) Engineering | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B0715A270011) Engineering | K | Czech | Šumperk | 1 | Compulsory | study plan | ||||

2019/2020 | (B0715A270011) Engineering | K | Czech | Uherský Brod | 1 | Compulsory | study plan | ||||

2019/2020 | (B0713A070002) Energetics and Environments | K | Czech | Ostrava | 1 | Compulsory | study plan |

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