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 | English | ||

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. | ||

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

VOL18 | RNDr. Jana Volná, Ph.D. | ||

VOL06 | RNDr. Petr Volný, Ph.D. |

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

Form of study | Way of compl. | Extent |

Full-time | Credit and Examination | 2+2 |

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.

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.
Jain, P.K.:A Textbook of Analytical Geometry of Three Dimensions,New Age International Publisher,1996.
Moore,C: Math quations and inequalities, Science & Nature, 2014.

Conditions for obtaining the course-unit credit: participation in exercises, 30% of absences can be excused, submission of programs assigned by the supervisor in the prescribed course, passing of written tests. The student will get 5 b for fulfilling the conditions. The student can get 0 - 15 b for the tests. (The student who gets the credit will be evaluated 5 - 20 b).
The condition for participation in the exam is a written credit from the relevant course. The exam consists of a written and an oral part. Students must pass both parts of the exam and achieve the necessary number of points.

http://www.studopory.vsb.cz
http://mdg.vsb.cz
http://mdg.vsb.cz/wiki/public/ZM_MI_listy.pdf

No more requirements.

Subject code | Abbreviation | Title | Requirement |
---|---|---|---|

230-0400 | ZM | Basics of Mathematics | Compulsory |

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 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

2020/2021 | (B2110) Geological Engineering | (2101R003) Geological Engineering | P | English | Ostrava | 1 | Compulsory | study plan | ||||

2020/2021 | (B1316) Geodesy, Cartography and Geoinformatics | (3646R006) Geoinformatics | P | English | Ostrava | 1 | Compulsory | study plan | ||||

2020/2021 | (B0724A290002) Mining of Mineral Resources | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2020/2021 | (B0724A290005) Petroleum Engineering | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2019/2020 | (B0724A290002) Mining of Mineral Resources | P | English | Ostrava | 1 | Compulsory | study plan |

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