Interval Calculations

 

 Tittle  Interval Calculations
 Department  Computer Science
 Type (compulsory/optional)  Optional
 Cycle (first/second) Second Cycle
 Semester when the component is delivered  2nd semester
 Course description  
The purpose of discipline is to develop the students' skills to operate the properties of the four basic operations on real intervals, interval matrices and folded over from their expressions, skills implementing interval arithmetic at finding solutions numerical methods, skills model system with interval uncertainties in input data.
 Course content
Module 1. The application features interval arithmetic
Topic 1. The real and complex interval arithmetic.
Topic 2. Interval estimation and set values in case of real functions.
Topic 3. Localization zeros of functions of one real variable.
Topic 4. Methods of simultaneous localization of real roots of polynomials.
Topic 5. Interval interpolation.
Topic 6. Operations of the interval matrices.
Module 2. Decisions of equations with interval coefficients
Topic 7. iterative localization fixed point for systems of nonlinear equations.
Topic 8. Systems of linear equations that are subjected to the method of iteration.
Topic 9. Methods of relaxation.
Topic 10. Optimum symmetric method of capture section.
Topic 11. Application of Gauss to the system with interval coefficients.
Topic 12. Modeling systems with the interval uncertainty in input data.
 Learning outcomes the ability to extract and analyze software requirements in the face of uncertainty;
the ability to use formal methods of software engineering for the design of effective software.
 Contact hours (lectures/seminars)

 30/15
 
Prerequisites

 Higher Mathematics, Numerical Methods
 Number of ECTS credits allocated

5 credits