Lecturer(s)


Kobera Marek, Mgr. Bc. Ph.D.

Course content

1. the introduction 2. errors of approximation 3. iterative methods 4. Newton method, regula falsi 5. systems of nonlinear equations 6. roots of polynomials 7. the polynomial of interpolation 8. the iterative interpolation 9. the method of least squares 10. splines 11. numerical derivatives 12. numerical integration 13. linear programming 14. the simplex method

Learning activities and teaching methods

Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
 Preparation for exam
 14 hours per semester
 Preparation for credit
 14 hours per semester

Learning outcomes

Numerical solving of the nonlinear equation F(x)=0, regula falsi, Newton method. Linear equations, Gauss method. Approximation of the function, polynomial interpolation, the method of least squares. Numerical derivatives and integrals (trapezial and Simpson rule). MAPLE software.
Practical using of numerical approximations.

Prerequisites

Differential and integral calculus

Assessment methods and criteria

Oral examination, Written examination
The credit task, exam test

Recommended literature


A. Ralston:. Základy numerické matematiky, Academia Praha, 1973.

I. Horová:. Numerické metody, MU Brno, 1999.
