Description:

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.

Contents:

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

Seminar contents:

following lecture

Recommended literature:

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

Keywords:

Algebraic and numerical computation. Computer algebra systems, Maple, Mathematica, Maxima, SageMath. Symbolic manipulations, graphics.

Abbreviations used:

Semester:

• W ... winter semester (usually October - February)
• S ... spring semester (usually March - June)
• W,S ... both semesters

Mode of completion of the course:

• A ... Assessment (no grade is given to this course but credits are awarded. You will receive only P (Passed) of F (Failed) and number of credits)
• GA ... Graded Assessment (a grade is awarded for this course)
• EX ... Examination (a grade is awarded for this course)
• A, EX ... Examination (the award of Assessment is a precondition for taking the Examination in the given subject, a grade is awarded for this course)

Weekly load (hours per week):

• P ... lecture
• C ... seminar
• L ... laboratory
• R ... proseminar
• S ... seminar