PMNUME Numerical Methods

Faculty of Economics and Administration
Spring 2009
Extent and Intensity
1/2/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Václav Studený, Ph.D. (lecturer)
RNDr. Václav Studený, Ph.D. (seminar tutor)
Guaranteed by
prof. Ing. Osvald Vašíček, CSc.
Department of Applied Mathematics and Computer Science – Faculty of Economics and Administration
Contact Person: Lenka Hráčková
Timetable
Tue 9:20–10:05 S310
  • Timetable of Seminar Groups:
PMNUME/1: Tue 7:40–9:15 S310, V. Studený
Prerequisites
PMMAT2 Mathematics II || PMZMII Introduction to Mathematics II
Basics of mathematical analysis, algebra, linear algebra.
Course Enrolment Limitations
The course is offered to students of any study field.
The capacity limit for the course is 24 student(s).
Current registration and enrolment status: enrolled: 0/24, only registered: 0/24, only registered with preference (fields directly associated with the programme): 0/24
Course objectives
At the end of this course, students should be able to: understand and be able to explain different methods of approximation and numerical solving of nonlinear problems and use numerical data for other studies. Students will be more familiar with using a computer for solving problems of mathematical type.
Syllabus
  • -Metric spaces and linear spaces with scalar product --metric on spaces of functions --ortonormal basis and projections -Polynomial interpolation --Lagrange polynomial --Newton form of the interpolation polynomial --Bernstein form of the interpolation polynomial --Newton–Cotes formulas --Taylor series expansion --Hermite interpolation, (interpolation using the unique polynomial of degree at most 2n-1 that takes prescribed function and first derivative values at n distinct points) -Fourier series decomposition of a periodic function into a sum of simple oscillating functions, namely sines and cosines -Fitting a model function that is linear in the model parameters to data by minimizing the least-squares error in different metrics -Projection onto a space of function by minimizing the least-squares error -Nonlinear equation --Horner formula --Regula falsi -Fixpoints of contractions
Literature
  • HOROVÁ, Ivana. Numerické metody. 1st ed. Brno: Masarykova univerzita, 1999, 230 pp. ISBN 80-210-2202-7. info
  • MATHEWS, John H. Numerical methods for mathematics, science and engineering. 2nd ed. Englewood Cliffs: Prentice-Hall International, 1992, 646 pp. X. ISBN 0-13-625047-5. info
  • RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
  • REKTORYS, Karel. Přehled užité matematiky. 4. nezm. vyd. Praha: Státní nakladatelství technické literatury, 1981, 1139 s. info
Assessment methods
lectures, class discussion, group projects, homeworks, reading (compulsory literature) test, project, oral exam
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Information on course enrolment limitations: 10 pouze přednáška
The course is also listed under the following terms Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008.
  • Enrolment Statistics (recent)
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