M028 Numerical Methods I

Faculty of Informatics
Spring 2000
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Recommended Type of Completion: k (colloquium). Other types of completion: z (credit).
Teacher(s)
Mgr. Leoš Fikeis, Ph.D. (lecturer)
prof. RNDr. Ivanka Horová, CSc. (lecturer)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Departments – Faculty of Science
Contact Person: prof. RNDr. Ivanka Horová, CSc.
Prerequisites (in Czech)
! U300 Numerické metody && M000 Calculus I && M003 Linear Algebra and Geometry I && M008 Algebra I
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Syllabus
  • Error analysis.
  • Interpolation - Lagrange's interpolation formula, Newton's interpolation formula, iterated interpolation, Hermite interpolation, error in polynomial interpolation, interpolation by spline functions.
  • Least squares method.
  • Numerical differentiation.
  • Numerical integration - integration formulas of Newton and Cotes, Gaussian integration methods, composite integration formulas, Romberg integration, integrals with singularities.
Literature
  • BURDEN, Richard L. and J. Douglas FAIRES. Numerical analysis. 6th ed. Pacific Grove, Calif.: Brooks/Cole, 1997, xiii, 811. ISBN 0-534-95532-0. info
  • HOROVÁ, Ivana. Numerické metody. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1988, 98 s. info
  • HOROVÁ, Ivana. Numerické metody. 2. přeprac. vyd. Brno: Rektorát UJEP, 1984, 103 s. info
  • BULIRSCH, R. and J. STOER. Introduction to Numerical Analysis. Springer-Verlag, 1980. info
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
Listed among pre-requisites of other courses
The course is also listed under the following terms Spring 1996, Spring 1997, Spring 1998, Spring 1999, Spring 2001, Autumn 2001.
  • Enrolment Statistics (Spring 2000, recent)
  • Permalink: https://is.muni.cz/course/fi/spring2000/M028