Computer Algebra Systems (CAS)

Relations:

During a review of study plans, the course A8B17CAS can be substituted for the course A8B01CAS.

It is not possible to register for the course A8B01CAS if the student is concurrently registered for or has already completed the course A8B17CAS (mutually exclusive courses).

It is not possible to register for the course A8B01CAS if the student is concurrently registered for or has previously completed the course A8B17CAS (mutually exclusive courses).

Course guarantor:

Lecturer:

Tutor:

Supervisor:

Department of Mathematics

Synopsis:

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.

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/

Syllabus of lectures:

Syllabus of tutorials:

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.

Study Objective:

See Annotaion.

Study materials:

[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/

Note:

Further information:

https://moodle.fel.cvut.cz/courses/A8B01CAS

No time-table has been prepared for this course

The course is a part of the following study plans:

• Open Electronic Systems (compulsory course of the specialization)