Gurantor department | Department of Mathematics | Credits | 5 |

Subject guarantor | Mgr. Dagmar Dlouhá, Ph.D. | Subject version guarantor | Mgr. Dagmar Dlouhá, Ph.D. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | summer |

Study language | Czech | ||

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

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

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

Login | Name | Tuitor | Teacher giving lectures |

DLO44 | Mgr. Dagmar Dlouhá, Ph.D. | ||

DUB02 | RNDr. Viktor Dubovský, Ph.D. | ||

URB0186 | RNDr. Zbyněk Urban, Ph.D. | ||

VOL18 | RNDr. Jana Volná, Ph.D. |

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

Form of study | Way of compl. | Extent |

Part-time | Credit and Examination | 18+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 toanalyze 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.

Lectures

Individual consultations

Tutorials

The contents of the course is the introduction of common mathematical concepts and interpretation of their relations in connection to the methods of solving selected problems of three basic parts of mathematics, according to which the learning material is structured. In Differential Calculus, the main motive is the preparation to general use of derivatives of real functions of one variable. Under Linear algebra is an emphasis on interpretation of the basic methods for solving systems of linear equations. In Analytic geometry, there are, based on vector calculus, described basic linear formations of three-dimensional Euclidean space and some tools to evaluate their mutual position from qualitative and also quantitative point of view.

Doležalová, J.: Mathematics I. VŠB – TUO, Ostrava 2005, ISBN 80-248-0796-3
http://mdg.vsb.cz/portal/en/Mathematics1.pdf
Bartsch, Hans Jochen: Handbook of Mathematical Formulas
Burdette, A.C.:An Introduction to Analytic Geometry and Calculus,Academic Press,1973.
Jain, P.K.:A Textbook of Analytical Geometry of Three Dimensions,New Age International Publisher,1996.

Harshbarger, Ronald; Reynolds, James: Calculus with Applications, D.C. Heath and Company 1990, ISBN 0-669-21145-1
Leon, S., J.: Linear Algebra with Aplications, Macmillan Publishing Company, New York, 1986, ISBN 0-02-369810-1
Moore,C: Math quations and inequalities, Science & Nature, 2014

Course-credit
- participation on tutorials is obligatory, 20% of absence can be apologized,
- elaborate 2-3 programs,
- pass the written 3 tests,
conditions satisfying for 5 points, tests for 0 - 15 points.
Summary course classification: 5-20 points.
Exam
Practical part of an exam is classified by 0 - 60 points. Practical part is successful if student obtains at least 25 points.
Theoretical part of the exam is classified by 0 - 20 points. Theoretical part is successful if student obtainsat least 5 points.
Point quantification in the interval 100 - 91 90 - 81 80 - 71 70 - 61 60 - 51 50 - 0
ECTS grade A B C D E F
Point quantification in the interval 100 - 86 85 - 66 65 - 51 51 - 0
National grading scheme excellent very good satisfactory failed

http://www.studopory.vsb.cz
http://mdg.vsb.cz

There are no other requests for students.

Subject has no prerequisities.

Subject has no co-requisities.

1 Functions of one real variable (definitions and basic properties)
2 Elementary functions
3 Limit of the function, continuity of the functions , basic rules
4 Differential calculus functions of one real variable. the derivative of function (basic rules for differentiation).
5 Derivatives of selected functions
6 Differential of the function, Taylor polynom, parametric differentiation, highes-order derivative, L'Hospital rule
7 Applications of the derivatives, convexity and concavity of a function
8 Extremes of function, asmptotes, function graph constructing
9 Linear algebra: Vectors, linear independence. Matrices (basic properties)
10 Determinants (basic properties, calculation, evaluation)
11 Rank of matrix, matrix inversion
12 Systems of linear equations, Frobenius theorem, Gaussian elimination
13 Products of vectors (basic properties)
14 Line and plane equation in E3, mutual positions of lines and planes

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

Credit and Examination | Credit and Examination | 100 (100) | 51 |

Credit | Credit | 20 | 5 |

Examination | Examination | 80 (80) | 30 |

Písemná zkouška | Written examination | 60 | 25 |

Ústní zkouška | Oral examination | 20 | 5 |

Show history

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

2019/2020 | (B2110) Geological Engineering | (2101R003) Geological Engineering | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B2111) Mining | (2101R014) Blasting Operations in Mining Engineering | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B1316) Geodesy, Cartography and Geoinformatics | (3646R006) Geoinformatics | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B2111) Mining | (2101R013) Mining of Mineral Resources and Their Utilization | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B2111) Mining | (2101R013) Mining of Mineral Resources and Their Utilization | K | Czech | Most | 1 | Compulsory | study plan | ||||

2019/2020 | (B2102) Mineral Raw Materials | (2102R001) Economics and Management in the Field of Raw Materials | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B2102) Mineral Raw Materials | (2102R001) Economics and Management in the Field of Raw Materials | K | Czech | Most | 1 | Compulsory | study plan | ||||

2019/2020 | (B2102) Mineral Raw Materials | (2102R006) Water Technologies and Water Management | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B2102) Mineral Raw Materials | (2102R006) Water Technologies and Water Management | K | Czech | Most | 1 | Compulsory | study plan | ||||

2019/2020 | (B3646) Geodesy and Cartography | (3646R001) Mining Surveying | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B3646) Geodesy and Cartography | (3646R007) Engineering Geodesy | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B3646) Geodesy and Cartography | (3646R007) Engineering Geodesy | K | Czech | Most | 1 | Compulsory | study plan | ||||

2019/2020 | (B2102) Mineral Raw Materials | (2102R013) Processing of Raw Materials and Recycling | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B2102) Mineral Raw Materials | (3904R005) Environmental Engineering | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B2102) Mineral Raw Materials | (3904R022) Waste Treatment and Disposal | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2019/2020 | (B2102) Mineral Raw Materials | (3904R022) Waste Treatment and Disposal | K | Czech | Most | 1 | Compulsory | study plan |

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