MU:MU03261 Computer Algebra - Course Information
MU03261 Computer Algebra
Mathematical Institute in OpavaSummer 2019
- Extent and Intensity
- 2/2/0. 6 credit(s). Type of Completion: zk (examination).
- Guaranteed by
- doc. RNDr. Michal Marvan, CSc.
Mathematical Institute in Opava - Course Enrolment Limitations
- The course is offered to students of any study field.
- Course objectives
- The course covers basic concepts, methods, and applications of computer algebra. Emphasis is laid on practical application.
- Syllabus
- 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.
- Systems of computer algebra, data structures, symbolic manipulations.
- Literature
- recommended literature
- J. von zur Gathen, J. Gerhard. Modern computer algebra. Cambridge University Press, New York, 1999. info
- A. M. Cohen, H. Cuypers a H. Sterk. Some Tapas of Computer Algebra. Springer, Berlin, 1999. info
- B. Buchberger, G.E. Collins, R. Loos a R. Albrecht. Computer algebra. Symbolic and Algebraic Computation. Springer, Wien, 1983. info
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course can also be completed outside the examination period.
- Teacher's information
- Individual or small-group project-based learning.
The examination consists of an oral defense of the elaborated project.
- Enrolment Statistics (recent)
- Permalink: https://is.slu.cz/course/sumu/summer2019/MU03261