Computer Algebra Systems

The course is not on the list Without time-table

Code	Completion	Credits	Range	Language
12YPAS	Z	2	1P+1C	English

Course guarantor:

Lecturer:

Tutor:

Supervisor:

Department of Laser Physics and Photonics

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 978-1-926902-45-6 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/elementary-introduction/2nd-ed/

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 time-table has been prepared for this course

The course is a part of the following study plans: