|Vyučováno v||Winter and summer|
Computer algebra system Maple is used to demonstrate basic mathematical concepts that students encounter in subjects Mathematics 1 (BE5B01MA1) and Introductory Algebra (BE5B01LAG). Seminars provide both computational and graphical examples with particular emphasis on problems whose solution without Maple is either difficult or impossible.
The requirement for receiving the credit is an active participation in the tutorials.
The lecture is intertwined with exercise.
1. Principles of program Maple.
2. Introduction to Maple.
3. Polynomials, roots of polynomials.
4. Problem-oriented solving.
5. Real functions and their limits, continuity, derivatives.
6. Problem-oriented solving.
7. Matrices, operations with matrices, determinants, inverse matrices.
8. Problem-oriented solving.
9. Local extrema and graphing. Applications of differentiation.
10. Problem-oriented solving.
11. Systems of linear equations. Free vectors, dot product, cross product. Linear figures in in three-dimensional Euclidean space.
12. Problem-oriented solving.
13. Indefinite and definite integral, applications of integration.
14. Problem-oriented solving.
 Maple User Manuals and Programming Guides, Maplesoft, a division of Waterloo Maple Inc., http://www.maplesoft.com/documentation_center/
 Heck, A.: Introduction to Maple, 2nd ed., Springer-Verlag, Berlin, 1996