Gurantor department | Institute of Physics | Credits | 5 |

Subject guarantor | RNDr. Eva Janurová, Ph.D. | Subject version guarantor | RNDr. Eva Janurová, Ph.D. |

Study level | undergraduate or graduate | ||

Study language | Czech | ||

Year of introduction | 2003/2004 | Year of cancellation | 2014/2015 |

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

Instruction secured by | |||
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Login | Name | Tuitor | Teacher giving lectures |

JAN85 | RNDr. Eva Janurová, Ph.D. |

Extent of instruction for forms of study | ||
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Form of study | Way of compl. | Extent |

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

Combined | Credit and Examination | 12+0 |

Define and reproduse the chosen terms of linear algebra, analytic geometry, differential geometry, vector and tensor algebra
Apply the acquired knowledges for solving of simple physical applications

Lectures

Tutorials

The knowledges of mathematics and physics for bachelors are completed in this
subject.
The students are got acquainted with advantages of linear algebra, analytic
and diferential geometry, vector and tenzor algebra and mathematical
statistics for mathematical description of physical phenomena.

1. Kvasnica, J.: Mathematical Physics. Academia, Prague 1989
2. Dettman, JW: Mathematical Methods in Physics and Engineering. Academia, Prague 1970
3. Madelung, E.: Handbook of Mathematics for Physicists. Alfa, Bratislava 1975

Rektorys, K.: Overview of applied mathematics. Prometheus, Prague, 1995

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Subject has no prerequisities.

Subject has no co-requisities.

1st ALGEBRA
Complex numbers. Linear dependence and independence of variables. Matrix, equality of matrix, n times the matrix. Transposed, symmetric and antisymmetric, complex conjugate, associated hermitian matrix. The sum, difference, linear combinations, multiplication of matrices. Trace of matrix. Inverse, regular and singular, unitary matrix. Rank of a matrix. Solving systems of linear equations. Matrix of systems, extended matrix of systems. Frobenius´s theorem. Determinants, minor, algebraic complement.
2nd ANALYSIS AND DIFFERENTIAL GEOMETRY
Coordinate systems in plane and space, orthogonal curvilinear coordinate systems. Basic curves. Basic areas. The geometry of curves - tangent, principal normal, binormal.
3rd VECTOR AND TENSOR ALGEBRA
Transformation of coordinates. Scalars, vectors and tensors. Contraction of tensors and invariants of tensors. Scalar, vector, mixed, and double cross product of vectors. Configuration and phase space. Complex vectors.

Conditions for completion are defined only for particular subject version and form of study

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

2014/2015 | (B2102) Mineral Raw Materials | (3911R001) Applied Physics of Materials | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2013/2014 | (B2102) Mineral Raw Materials | (3911R001) Applied Physics of Materials | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2012/2013 | (B2102) Mineral Raw Materials | (3911R001) Applied Physics of Materials | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2011/2012 | (B2102) Mineral Raw Materials | (3911R001) Applied Physics of Materials | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2010/2011 | (B2102) Mineral Raw Materials | (3911R001) Applied Physics of Materials | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2009/2010 | (B2102) Mineral Raw Materials | (3911R001) Applied Physics of Materials | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2008/2009 | (B2102) Mineral Raw Materials | (3911R001) Applied Physics of Materials | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2007/2008 | (B2102) Mineral Raw Materials | (3911R001) Applied Physics of Materials | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2006/2007 | (B2102) Mineral Raw Materials | (3911R001) Applied Physics of Materials | P | Czech | Ostrava | 2 | Compulsory | study plan | |||

2005/2006 | (B2102) Mineral Raw Materials | (3911R001) Applied Physics of Materials | P | Czech | Ostrava | 2 | Compulsory | study plan |

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