Doležalová, J.: Mathematics I, VŠB-TUO, Ostrava, 2005
Harshbarger, Ronald; Reynolds, James: Calculus with Applications, D.C. Heath and Company, 1990
Algebra and analytical geometry
| Type of study | Bachelor |
|---|---|
| Language of instruction | English |
| Code | 310-2010/02 |
| Abbreviation | AAG |
| Course title | Algebra and analytical geometry |
| Credits | 5 |
| Coordinating department | Department of Mathematics and Descriptive Geometry |
| Course coordinator | Mgr. Jiří Krček, Ph.D. |
Subject syllabus
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.
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.
Literature
Advised literature
Leon, S. J.: Linear Algebra with Applications. MACMILLAN New York, 1980,
ISBN 0-02-369810
ISBN 0-02-369810