Course: Computer Algebra

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Course title Computer Algebra
Course code MU/03261
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study not specified
Semester Summer
Number of ECTS credits 6
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Course availability The course is available to visiting students
  • MARVAN Michal, doc. RNDr. CSc.
Course content
Systems of computer algebra, data structures, symbolic manipulations. Rational arithmetics, polynomial arithmetics, greatest common divisor, extended Euclidean algorithm, computation in algebraic extensions. Gaussian elimination, computation of determinants and resultants. Systems of algebraic equations, polynomial ideals, algebraic varieties, triangular systems, Gröbner bases. Symbolic differentiation, symbolic integration, symbolické solution of systems of differential equations.

Learning activities and teaching methods
Recommended literature
  • A. M. Cohen, H. Cuypers a H. Sterk. Some Tapas of Computer Algebra. Springer, Berlin, 1999.
  • B. Buchberger, G.E. Collins, R. Loos a R. Albrecht. Computer algebra. Symbolic and Algebraic Computation. Springer, Wien, 1983.
  • J. von zur Gathen, J. Gerhard. Modern computer algebra. Cambridge University Press, New York, 1999.

Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Mathematical Institute in Opava Mathematical Analysis (1-IVT) Mathematics courses 4 Summer