Computer Algebra Systems

Lecturer:

Tutor:

Supervisor:

Department of Mathematics

Synopsis:

Introduction to computer algebra systems (DERIVE, MAPLE, MATHEMATICA, MATLAB), history, general properties, comparison. The students are introduced into symbolic and numerical operations, programming and debugging, libraries and data structures, solving problems, matrix operations, logic operations and graphics in each of the four systems.

Requirements:

The requirement for receiving the credit is an active participation in the tutorials. To be specified by tutor.

Syllabus of lectures:

1. System Derive: Basic instructions.

2. Next possibilities.

3. System Maple: The workseet interface, basic instructions.

4. Data structures, symbolic operations, calculus.

5. Solving problems, matrix and vectors manipulations.

6. Graphics, programming, debugging programs.

7. Logic operations, evaluation rules.

8. Input and output, libraries.

9. Advantages and disadvantages, bugs.

10. System Mathematica: The notebook interface, basic instructions.

11. Transformation rules, functions, symbolic manipulations.

12. System MatLab: basic instructions, matrix operations.

13. Graphics and programming.

Syllabus of tutorials:

1. Basic informations.

2. System Derive: Introduction.

3. Individual experiments and solution of a project.

4. System Maple: Introduction.

5. Tutorial worksheets.

6. Individual experiments and solution of a project.

7. Individual experiments and solution of a project.

8. Individual experiments and solution of a project.

9. Individual experiments and solution of a project.

10. System Mathematica or MatLab: Introduction.

11. Individual experiments and solution of a project.

12. Individual experiments and solution of a project.

13. Committal of a project.

Study Objective:

Study materials:

1. Redfern, D.: The Maple Handbook, Springer-Verlag, Berlin, 1994

2. Wolfram, S.: The Mathematica Book, Fourth Edition, Cambridge University Press, 1999

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Common plan- structured studies (elective specialized course)
• Computer Technology- structured studies (elective specialized course)
• Electronics and Communication Technology - structured studies (elective specialized course)
• Cybernetics and Measurements- structured studies (elective specialized course)
• Heavy-current Engineering- structured studies (elective specialized course)
• Inteligentní systémy (elective specialized course)
• Manažerská informatika (elective specialized course)
• Softwarové inženýrství (elective specialized course)
• Web a multimedia (elective specialized course)