| Course Unit Code | 470-2205/02 |
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| Number of ECTS Credits Allocated | 4 ECTS credits |
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| Type of Course Unit * | Optional |
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| Level of Course Unit * | First Cycle |
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| Year of Study * | |
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| Semester when the Course Unit is delivered | Summer Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | English |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| KOV74 | Mgr. Tereza Kovářová, Ph.D. |
| VLA04 | Ing. Oldřich Vlach, Ph.D. |
| Summary |
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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.
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| Learning Outcomes of the Course Unit |
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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.
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| Course Contents |
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Lectures:
An introduction to matrix calculus
Solution of systems of linear equations
Inverse matrices
Vector spaces and subspaces
Basis and dimension of vector spaces
Linear mapping
Bilinear and quadratic forms
Determinants
Eigenvalues and eigenvectors
Scalar product
Linear algebra applications
Exercises:
Computing with complex numbers
Practicing algebra of arithmetic vectors and matrices
Solution of systems of linear equations
Evaluation of inverse matrix
Examples of vector spaces and deduction from axioms
Evaluation of coordinates of a vector in a given basis
Examples of linear mappings and evaluation of their matrices
Matrices of bilinear and quadratic forms
Evaluation of determinants
Evaluation of eigenvalues and eigenvectors
Orthogonalization process |
| Recommended or Required Reading |
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| Required Reading: |
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| ANTON, Howard, Chris RORRES a Anton KAUL. Elementary Linear Algebra: Applications Version. 12th edition. Wiley, 2019. ISBN 978-1119666141. |
DOSTÁL, Zdeněk, Vít VONDRÁK a Dalibor LUKÁŠ. Lineární algebra [online]. VŠB-TU Ostrava, 2012 [cit. 2024-04-17]. Dostupné z: http://mi21.vsb.cz/modul/linearni-algebra
DOSTÁL, Zdeněk. Lineární algebra. Ostrava: VŠB - Technická univerzita Ostrava, 2001. ISBN 80-7078-832-1.
ANTON, Howard, Chris RORRES a Anton KAUL. Elementary Linear Algebra: Applications Version. 12th edition. Wiley, 2019. ISBN 978-1119666141.
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| Recommended Reading: |
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STRANG, Gilbert. Linear Algebra and Its Applications. 4th edition. Brooks/Cole ISE, 2005. ISBN 978-0030105678.
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BEČVÁŘ, Jindřich. Lineární algebra. Vydání páté. Praha: Matfyzpress, 2019. ISBN 978-80-7378-378-5.
HLADÍK, Milan. Lineární algebra (nejen) pro informatiky. Praha: Matfyzpress, 2019. ISBN 978-80-7378-392-1.
STRANG, Gilbert. Linear Algebra and Its Applications. 4th edition. Brooks/Cole ISE, 2005. ISBN 978-0030105678.
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| Planned learning activities and teaching methods |
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| Lectures, Tutorials |
| Assesment methods and criteria |
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| Tasks are not Defined |