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 | Optional |

Year | 1 | Semester | winter |

Study language | English | ||

Year of introduction | 2021/2022 | 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. |

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

Form of study | Way of compl. | Extent |

Full-time | Credit | 0+2 |

Part-time | Credit | 0+8 |

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.

Seminars

Tutorials

Other activities

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.

[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

Credit is given to those students who reach at least 51 points (out of 100) in the final test.

http://mdg.vsb.cz/portal/

Compulsory attendance or activity assigned by the teacher.

Subject has no prerequisities.

Subject has no co-requisities.

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.
14. Complex numbers.

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

Credit | Credit | 3 |

Show history

Conditions for subject completion and attendance at the exercises within ISP: Compulsory participation in tests, participation in exercises can be replaced by solving homework.

Show history

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

2023/2024 | (B0713A070003) Energetics and Environments | P | English | Ostrava | 1 | Optional | study plan | |||||

2023/2024 | (B0715A270012) Engineering | P | English | Ostrava | 1 | Optional | study plan | |||||

2022/2023 | (B0713A070003) Energetics and Environments | P | English | Ostrava | 1 | Optional | study plan | |||||

2022/2023 | (B0715A270012) Engineering | P | English | Ostrava | 1 | Optional | study plan | |||||

2021/2022 | (B0715A270012) Engineering | P | English | Ostrava | 1 | Optional | study plan | |||||

2021/2022 | (B0713A070003) Energetics and Environments | P | English | Ostrava | 1 | Optional | study plan |

Block name | Academic year | Form of study | Study language | Year | W | S | Type of block | Block owner |
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