Gurantor department | Department of Applied Mathematics | Credits | 8 |

Subject guarantor | doc. Ing. Petr Beremlijski, Ph.D. | Subject version guarantor | doc. Ing. Petr Beremlijski, Ph.D. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | winter |

Study language | Czech | ||

Year of introduction | 2010/2011 | Year of cancellation | |

Intended for the faculties | USP, FEI | Intended for study types | Bachelor |

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

Form of study | Way of compl. | Extent |

Full-time | Credit and Examination | 2+4 |

Combined | Credit and Examination | 12+12 |

To supply working knowledge of basic concepts of linear algebra including their geometric and computational meaning, in order to enable to use these concepts in solution of basic problems of linear algebra. Student should also learn how to use the basic tools of linear algebra in applications.

Lectures

Tutorials

Project work

Linear algebra is one of the basic tools of formulation and solution of engineering problems. The students will get in an elementary way basic concepts and comutational skills of linear algebra, including algorithmic aspects that are important in computer implementation.

H. Anton, Elementary Linear Algebra, J. Wiley , New York 1991.

S. Barnet, Matrices, Methods and Applications, Clarendon Press, Oxford 1994
H. Schnaider, G. P. Barker, Matrices and Linear Algebra, Dover, New York 1989

Verification of study:
Test on solution of linear systems and matrix algebra (max 12m)
Test on vector spaces, linear mapping and multilinear algebra (max 12m)
Semestral project (max 6m)
2 examples each for 3m. Complex numbers and orthonormalization process.
Conditions for credit:
Minimum 10 marks on tests and semestral project.

No additional requirements are imposed on the student.

Subject has no prerequisities.

Subject has no co-requisities.

Lectures:
An introduction to matrix calculus
Solution of systems of linear equations
Inverse matrices
LU factorization
Vector spaces and subspaces
Basis and dimension of vector spaces
Linear mapping
Derivation and definite integral of piecewise linear functions
Bilinear and quadratic forms
Determinants
Eigenvalues and eigenvectors
Using supercomputer Anselm and linear algebra to solve engineering problems
Exercises:
Computing with complex numbers
Practicing algebra of arithmetic vectors and matrices
Solution of systems of linear equations
Evaluation of inverse matrix
LU factorization and solution of systems of linear eq.
Examples of vector spaces and deduction from axioms
Evaluation of coordinates of a vector in a given basis
Examples of functional spaces
Examples of linear mappings and evaluation of their matrices
Matrices of bilinear and quadratic forms
Evaluation of determinants
Evaluation of eigenvalues and eigenvectors

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 | |
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2014/2015 | (B2647) Information and Communication Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2014/2015 | (B2647) Information and Communication Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2013/2014 | (B2647) Information and Communication Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2013/2014 | (B2647) Information and Communication Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2012/2013 | (B2647) Information and Communication Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2012/2013 | (B2647) Information and Communication Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2011/2012 | (B2647) Information and Communication Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2011/2012 | (B2647) Information and Communication Technology | (1103R031) Computational Mathematics | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2011/2012 | (B2647) Information and Communication Technology | (2601R013) Telecommunication Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2011/2012 | (B2647) Information and Communication Technology | (2612R025) Computer Science and Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2011/2012 | (B2647) Information and Communication Technology | (2612R059) Mobile Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2011/2012 | (B2647) Information and Communication Technology | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2010/2011 | (B2647) Information and Communication Technology | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2010/2011 | (B2647) Information and Communication Technology | 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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