M2142 Computer Algebra Systems

Faculty of Science
Spring 2020
Extent and Intensity
1/2/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: z (credit).
Teacher(s)
RNDr. Roman Plch, Ph.D. (lecturer)
Mgr. Jakub Juránek, Ph.D. (assistant)
Guaranteed by
RNDr. Roman Plch, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Thu 9:00–9:50 M1,01017
  • Timetable of Seminar Groups:
M2142/01: Tue 8:00–9:50 MP1,01014, R. Plch
M2142/02: Wed 8:00–9:50 MP1,01014, R. Plch
M2142/03: Thu 10:00–11:50 MP1,01014, R. Plch
Prerequisites
M1141 Introd. to ICT for math. || M7541 Computer Science || M1520 Seminar on school mathematics || FI:PB001 Introduction to IT
Before enrolling this course the students should either go through M1141 or basic knowledge of working on Linux systems and web site creation.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
The capacity limit for the course is 88 student(s).
Current registration and enrolment status: enrolled: 0/88, only registered: 0/88, only registered with preference (fields directly associated with the programme): 0/88
fields of study / plans the course is directly associated with
Course objectives
At the end of this course the student will be able to: understand the principles of working with computer algebra systems; use CAS systems Maple and Sage in solving problems from various areas of mathematics; create and present mathematical graphics; use Maple and Sage to write own procedures.
Learning outcomes
At the end of this course the student will be able to:
-actively use Maple and Sage computer algebra systems to solve mathematical problems;
-define variables in these systems and assign values to them;
-work with polynomials and rational expressions and their manipulation;
-define functions and solve equations;
- generate mathematical graphics in 2D and 3D;
-to work with lists and sets;
- write simple procedures.
Syllabus
  • Computer Algebra Systems.
  • The Worksheet Interface - Maple, Sage.
  • Calculus on Numbers.
  • Variables and Names.
  • Polynomials and Rational Functions.
  • Internal Data Representation and Substitution.
  • Manipulating of Polynomilas and Rational Expressions.
  • Functions.
  • Differentiation, Integration and Summation.
  • Graphics.
  • Composite Data Types.
  • Programming.
Literature
    recommended literature
  • HECK, André. Introduction to maple. 2nd ed. New York: Springer, 1996, xx, 699. ISBN 0387945350. info
  • BUCHAR, Jaroslav. Úvod do programového souboru MAPLE V. Vyd. 1. Brno: Vysoká škola zemědělská, 1994, 83 s. ISBN 8071571172. info
  • REDFERN, David. The Maple Handbook. New York: Springer, 1993, 497 s. ISBN 0387940545. info
  • MONAGAN, M. B. Maple V : programming guide. Edited by J. S. Devitt. New York: Springer-Verlag, 1996, xii, 379. ISBN 0387945377. info
  • HEAL, K. M., M. L. HANSEN and K. M. RICKARD. Maple V : learning guide. Edited by J. S. Devitt. New York: Springer-Verlag, 1996, ix, 269. ISBN 0387945369. info
Bookmarks
https://is.muni.cz/ln/tag/PříF:M2142!
Teaching methods
Lecture with the use of computer projections of output, exercises in the computer classroom, regular practical tasks.
Assessment methods
It is necessary to solve all regularly assigning tasks in exercises and handle the practical test on a computer at least with 50% success rate.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Teacher's information
http://www.math.muni.cz/~plch/index.php?page=main/vyuka/M2142/M2142&lang=CZ
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2020, recent)
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