Computer Algebra Systems (CAS)

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Computer Algebra Systems (CAS) (Main course) A8B01CAS
Credits 2
Semesters Winter
Completion Assessment
Language of teaching Czech
Extent of teaching 1P+1C
Annotation
Computer algebra systems (CAS) Maple, Matlab and Mathematica are used to demonstrate basic mathematical concepts that students encounter in subjects Mathematics and Introductory Algebra. Seminars provide both computational and graphical examples with particular emphasis on problems whose solution without CAS is either difficult or impossible.
Study targets
See Annotaion.
Course outlines
Prolíná se s osnovou cvičení.
Exercises outlines
1. Principles of program Maple.
2. Expesions and polynomials.
3. Calculus: real functions and their limits, continuity, derivatives.
4. Applications of differentiation.
5. Problem-oriented solving.
6. Indefinite and definite integral, applications of integration.
7. Problem-oriented solving.
8. Linear Algebra: Matrices, operations with matrices, determinants, inverse matrices, eigenvalues.
9. Systems of linear equations: symbolic and numeric solutions.
10. Principles of program MatLab.
11. Introduction to data structures.
12. Principles of program Mathematica.
13. Tips and tricks.
14. Problem-oriented solving.
Literature
[1] Maple User Manuals and Programming Guides, Maplesoft, a division of Waterloo Maple Inc., http://www.maplesoft.com/documentation_center/
[2] Wolfram Language & System Documentation Center https://reference.wolfram.com/
[3] MATLAB® Help and Documentation https://www.mathworks.com/help/matlab/
Requirements
[1] Maple User Manuals and Programming Guides, Maplesoft, a division of Waterloo Maple Inc., pravěk až současnost. (elektronické verze jsou také součástí helpu v instalaci programu) http://www.maplesoft.com/documentation_center/
[2] Wolfram Language & System Documentation Center https://reference.wolfram.com/
[3] MATLAB® Help and Documentation https://www.mathworks.com/help/matlab/