Computer Algebra Systems
Code  Completion  Credits  Range 

12PAS  Z  2  1P+1C 
 Lecturer:
 Milan Šiňor (guarantor)
 Tutor:
 Milan Šiňor (guarantor)
 Supervisor:
 Department of Physical Electronics
 Synopsis:

Practically oriented introduction to computer algebra systems (CAS): their main characteristics, ways and means of using them. Constituent part is realized in computer classrooms: students acquire basic skills with CAS by solving relatively simple and basic tasks from mathematics and physics.
 Requirements:
 Syllabus of lectures:

1.Difficulties of scientific computing, algebraic and numerical computation, graphics.
2.Computer algebra systems Maple, Mathematica, Maxima and SageMath.
3.Symbolic expressions, variables, functions and procedures.
4.Simplification and manipulation with expressions.
5.Equations and systems of equations, fields and matrices.
6.Symbolic derivative, integration and series.
7.Ordinary differential equations.
8.Visualizations and animations.
9.Elementals of programming inMaple.
10.Elementals of programming in Mathematica.
11.Elementals of programming in Maxima and SageMath.
12.Final test.
13.Consultations. Work on individual task
 Syllabus of tutorials:

following lecture
 Study Objective:
 Study materials:

Key references:
[1]Maple User Manual. Maplesoft, 2018. ISBN 9781926902456 https://www.maplesoft.com/documentation_center/maple2018/UserManual.pdf
[2]S. Wolfram: An Elementary Introduction to the Wolfram Language. Wolfram Media; 2nd. Edition, 2017.https://www.wolfram.com/language/elementaryintroduction/2nded/
Recommended references:
[3]Maplesoft Documentation Center, https://www.maplesoft.com/documentation_center/
[4]Wolfram Language & System Documentation Center, https://reference.wolfram.com/language/
[5]Maxima Manual, http://maxima.sourceforge.net/docs/manual/maxima.pdf
[6]Maxima Documentation, http://maxima.sourceforge.net/documentation.html
[7]Sage Documentation. http://doc.sagemath.org/html/en/index.html
 Note:
 Further information:
 No timetable has been prepared for this course
 The course is a part of the following study plans: