Gurantor department | Department of Applied Mathematics | Credits | 6 |

Subject guarantor | prof. RNDr. Zdeněk Dostál, DSc. | Subject version guarantor | prof. RNDr. Zdeněk Dostál, DSc. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | winter |

Study language | Czech | ||

Year of introduction | 1999/2000 | Year of cancellation | 2009/2010 |

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

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

Login | Name | Tuitor | Teacher giving lectures |

DOS35 | prof. RNDr. Zdeněk Dostál, DSc. | ||

HOR33 | doc. Ing. David Horák, Ph.D. |

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

Form of study | Way of compl. | Extent |

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

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

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, to understand their relation and some applications in modern engineering.

Linear algebra is a basic tool for formulation and solution of engineering problems. The students will first learn about finite methods of solution of linear system and about matrix calculus. Then they will study general concepts like vector spaces, linear mapping, bilinear and quadratic form, eigenvalue and eigenvector. The course comprises also introduction to analytic geometry. This particular cours stresses understanding and mutual relations of basic concepts as they are used in both modern engineering and informatics. It is designed for students who consider higher degrees (including M.Sc.), especially in those parts of applications that require deeper theoreticat background

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, matrix algebra and vector spaces (max 8m)
Test on linear mapping, multilinear algebra and eigencetors (max 7m)
Home assignment (15m)
Conditions for credit:
Minimum 15 marks on tests and the home assignments

Subject has no prerequisities.

Subject has no co-requisities.

Lectures:
Complex numers
Solution of systems of linear equations by elimination
Algebra aof arithmetic vectors and matrices
Inverse matrices
Vekctor space
Vector spaces of functions
Derivation and definite integral of piecewise linear functions
Linear mapping
Bilinear and quadratic forms
Determinants
Eigenvalues and eigenvectors
An introduction to analytic geometry
Exercises:
Arihmetics of complex numbers
Solution of systems of linear equations
Practicing algebra of arithmetic vectors and matrices
Evaluation of inverse matrix
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
Computational examples from analytic geometry
Computer labs:
Linear algebra in MATLAB.

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

2009/2010 | (B2646) Information Technology | (1103R021) Computation Mathematics | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2008/2009 | (B2646) Information Technology | (1103R021) Computation Mathematics | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2008/2009 | (B2646) Information Technology | (1103R021) Computation Mathematics | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2007/2008 | (B2646) Information Technology | (1103R021) Computation Mathematics | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2007/2008 | (B2646) Information Technology | (1103R021) Computation Mathematics | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2006/2007 | (B2646) Information Technology | (1103R021) Computation Mathematics | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2006/2007 | (B2646) Information Technology | (1103R021) Computation Mathematics | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2005/2006 | (B2646) Information Technology | (1103R021) Computation Mathematics | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2005/2006 | (B2646) Information Technology | (1103R021) Computation Mathematics | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2004/2005 | (B2646) Information Technology | (1103R021) Computation Mathematics | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2004/2005 | (B2646) Information Technology | (1103R021) Computation Mathematics | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2003/2004 | (B2646) Information Technology | (1103R021) Computation Mathematics | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2003/2004 | (B2646) Information Technology | (2612R025) Computer Science and Technology | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2003/2004 | (B2645) Electrical Engineering, Communication and Computer Systems | (2612R018) Electronics and Communication Technology | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2003/2004 | (B2645) Electrical Engineering, Communication and Computer Systems | (2612R041) Control and Information Systems | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2003/2004 | (B2645) Electrical Engineering, Communication and Computer Systems | (2642R004) Electrical Machines Apparatus and Drives | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2003/2004 | (B2645) Electrical Engineering, Communication and Computer Systems | (3907R001) Electrical Power Engineering | P | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2003/2004 | (B2645) Electrical Engineering, Communication and Computer Systems | (2612R018) Electronics and Communication Technology | K | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2003/2004 | (B2645) Electrical Engineering, Communication and Computer Systems | (2612R041) Control and Information Systems | K | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2003/2004 | (B2645) Electrical Engineering, Communication and Computer Systems | (2642R004) Electrical Machines Apparatus and Drives | K | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2003/2004 | (B2645) Electrical Engineering, Communication and Computer Systems | (3907R001) Electrical Power Engineering | K | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2003/2004 | (B2646) Information Technology | (2612R025) Computer Science and Technology | K | Czech | Ostrava | 1 | Choice-compulsory | study plan | ||||

2003/2004 | (B2646) Information Technology | (1103R021) Computation Mathematics | K | Czech | Ostrava | 1 | Choice-compulsory | study plan |

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