714-0253 – Numerical Methods (NM)
| Gurantor department | Department of Mathematics and Descriptive Geometry |
| Subject guarantor | RNDr. Jana Staňková, Ph.D. |
| Study level | undergraduate or graduate |
Subject aims expressed by acquired skills and competences
The first part of this course is dedicated to finding numerical solutions of
mathematical problems. These problems can arise from other courses as
well as from practice. The main emphasis lays in
explanation of fundamental principles of numerical methods and of their
general properties. The students learn how to decide which numerical
procedure is a suitable tool for solving a specific problem. An
important ingredient of the course is algorithmic implementation of the
learned numerical methods. The students learn how to use existing
software specialized for numerical computations, too.
The graduate of this course should be able:
* to recognize problems solvable by numerical procedures and to find
an appropriate numerical method;
* to decide whether the obtained numerical solution is accurate
enough and, if it is not the case, to assess the reasons of inaccuracies;
* to propose an algorithmic procedure to solving a problem and to
choose a suitable software for its realization;
Teaching methods
Lectures
Tutorials
Summary
The first part of this course deals with selected issues in numerical computations
(including sources and types of numerical errors, conditionality of
certain problems and algorithms), with methods for solving algebraic and
transcendent equations, with solving systems of linear equations, with
interpolation and approximation of functions, with numerical computations
of integrals, and with Cauchy problems for ordinary differential
equations.
Compulsory literature:
Recommended literature:
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.