Course Unit Code | 310-2010/01 |
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Number of ECTS Credits Allocated | 5 ECTS credits |
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Type of Course Unit * | Compulsory |
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Level of Course Unit * | First Cycle |
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Year of Study * | First Year |
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Semester when the Course Unit is delivered | Winter Semester |
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Mode of Delivery | Face-to-face |
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Language of Instruction | Czech |
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Prerequisites and Co-Requisites | There are no prerequisites or co-requisites for this course unit |
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Name of Lecturer(s) | Personal ID | Name |
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| MOR74 | Mgr. Zuzana Morávková, Ph.D. |
| KRC76 | Mgr. Jiří Krček |
Summary |
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The topic is the part of basic three-semester mathematical course in bachelor degree.
The first part introduces grounding of the linear algebra - linear spaces and mapping, properties of these, matrix calculus and systems of linear equations. The second part summarizes the analytical geometry of linear and quadratic objects. |
Learning Outcomes of the Course Unit |
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The main goal is to build compact system of basic knowledge in algebraic equations and its systems in the frame of finite-dimensional linear spaces. Obtained knowledge will be applied in connected themes as vector algebra and analytical geometry.
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Course Contents |
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1. Complex numbers.
2. Polynomials and algebraic equations.
3. Linear spaces – part 1.: linear independence, dimension, basis.
4. Matrix algebra.
5. Rank of matrix, systems of linear equations.
6. Determinants, inverse matrix, matrix equations.
7. Linear spaces – part 2: linear mapping, fundaments of spectral theory.
8. Linear, bilinear and quadratic forms.
9. Spaces with scalar product.
10. Vector algebra.
11. Analytical geometry of linear objects.
12. Classification of conics.
13. Quadric surfaces.
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Recommended or Required Reading |
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Required Reading: |
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Doležalová, J.: Mathematics I, VŠB-TUO, Ostrava, 2005
Harshbarger, Ronald; Reynolds, James: Calculus with Applications, D.C. Heath and Company, 1990
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http://www.studopory.vsb.cz/studijnimaterialy/MatematikaI/m1.pdf
Burda, P., Havelek, R., Hradecká, R.: Algebra a analytická geometrie (Matematika I),1997, ISBN 80-7078-479-2. |
Recommended Reading: |
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Leon, S. J.: Linear Algebra with Applications. MACMILLAN New York, 1980,
ISBN 0-02-369810 |
http://mi21.vsb.cz/modul/linearni-algebra
Škrášek, J., Tichý, Z.: Základy aplikované matematiky I. SNTL Praha, 1989,
ISBN 04-0544-89 |
Planned learning activities and teaching methods |
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Lectures, Tutorials, Project work |
Assesment methods and criteria |
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Task Title | Task Type | Maximum Number of Points (Act. for Subtasks) | Minimum Number of Points for Task Passing |
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Credit and Examination | Credit and Examination | 100 (100) | 51 |
Credit | Credit | 30 | 10 |
Examination | Examination | 70 | 21 |