PřF:M5180 Numerical Methods II - Course Information
M5180 Numerical Methods II
Faculty of ScienceAutumn 2010 - only for the accreditation
- Extent and Intensity
- 2/1/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).
- Teacher(s)
- prof. RNDr. Ivanka Horová, CSc. (lecturer)
Mgr. Jiří Zelinka, Dr. (seminar tutor) - Guaranteed by
- prof. RNDr. Ivanka Horová, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science - Prerequisites
- M4180 Numerical methods I || ( FI:M028 Numerical Methods I )
Differential and integral calculus of one and more variables. Basic knowledge of linear algebra. - 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
- there are 7 fields of study the course is directly associated with, display
- Course objectives
- This course together with the course Numerical methods I provides systematic explanation of numerical mathematics as the special scientific discipline. In addition to the classical methods the modern procedures suitable for algorithmization and computer implementation are also presented. During the course a student is acquainted with advantages and diadvantages of the methods.At the end of this course a student will be able to use the numerical methods for solving practical problems.
- Syllabus
- Interpolation-Lagrange interpolation polynomial,Newton interpolation polynomial,the error of the polynomial interpolation,iterated inter- polation,Hermite interpolation polynomial,,cubic spline interpolation, general interpolation process
- Numerical differentiation-formulas based on a derivative of an interpolation polynomial,Richardson extrapolation
- Numerical integration-quadrature formulas,degree of exactness and error,Gaussian quadratures,Lobatto quadrature,Newton-Cotes quadratures composite quadratures,integrals with singularities,adaptive quadratures
- Literature
- HOROVA, Ivana and Jiří ZELINKA. Numerické metody (Numerical Methods). 2nd ed. Brno: Masarykova univerzita v Brně, 2004, 294 pp. 3871/Př-2/04-17/31. ISBN 80-210-3317-7. info
- MATHEWS, John H. and Kurtis D. FINK. Numerical methods using MATLAB. 4th ed. Upper Saddle River, N.J.: Pearson, 2004, ix, 680. ISBN 0130652482. info
- BURDEN, Richard L. and Douglas J. FAIRES. Numerical analysis. 3rd ed. Boston: PWS Publishing Company, 1985, 676 pp. ISBN 0-87150-857-5. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- PŘIKRYL, Petr. Numerické metody matematické analýzy. 1. vyd. Praha: Nakladatelství technické literatury, 1985, 187 s. URL info
- Teaching methods
- Lecture:2 hours weekly, theoretical preparation. Class excercise: 1 hour weekly. Theoretical excercise focused on methods presented in the lecture is alternated by excercise in a computer room aimed at algoritmization and programming of presented methods.
- Assessment methods
- Lecture. Attendance of a class excercise is compulsory and a successful written test is required for a credit. Exam is written.
- Language of instruction
- Czech
- Follow-Up Courses
- Further Comments
- The course is taught annually.
The course is taught: every week.
- Enrolment Statistics (Autumn 2010 - only for the accreditation, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2010-onlyfortheaccreditation/M5180