Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 5 |

Subject guarantor | RNDr. Radoslava Hradecká | Subject version guarantor | Fiktivní Uživatel |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | winter |

Study language | Czech | ||

Year of introduction | 2001/2002 | Year of cancellation | 2004/2005 |

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

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

Form of study | Way of compl. | Extent |

Part-time | Credit and Examination | 30+0 |

The function of one real variable. The limit of a function, the continuity of a
function. The derivation of the function of one variable. Derivations of higher
orders. Monotony, local extremes, convexity, concavity, inflexion, asymptotes.
The derivation of a parametrically defined function. Linear algebra.
Determinants. Arithmetic vectors, operations. Matrices, the rank of a matrix,
operations with matrices. Systems of linear algebraic equations. Solid analytic
geometry. Geometric vectors. The scalar, vector, triple products and their
applications. Analytical expressions of a plane and a line in space. Integral
calculus. The primitive function and the indefinite integral of the function of
one real variable, basic integration methods – substitution, by parts. The
definite integral, applications. The differential calculus of functions of two
variables. The domain of definition. Partial derivations of the first and
higher orders. Extremes of functions of two variables. Implicitly defined
functions. Ordinary differential equations. 1st order differential equations,
kinds of solution. Separable, homogenous and linear equations. 2nd order linear
equations with constant coefficients.

Subject has no prerequisities.

Subject has no co-requisities.

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

Exercises evaluation and Examination | Credit and Examination | 100 (145) | 51 | 3 |

Examination | Examination | 100 | 0 | 3 |

Exercises evaluation | Credit | 45 | 0 | 3 |

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Conditions for subject completion and attendance at the exercises within ISP:

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

2001/2002 | (B3908) Požární ochrana a průmyslová bezpečnost | (3908R003) Havarijní plánování a krizové řízení | K | Czech | 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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