310-2130/04 – Numerical Mathematics (NM)
| Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 5 |
| Subject guarantor | Mgr. Monika Jahodová, Ph.D. | Subject version guarantor | Mgr. Monika Jahodová, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 3 | Semester | winter |
| | Study language | Czech |
| Year of introduction | 2019/2020 | Year of cancellation | 2021/2022 |
| Intended for the faculties | FS | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
The aim of this course is to acquaint students with the numerical solution of mathematical problems that arise in the other courses of their study and in the technical practice. The main accent lays in explanations of fundamental principles of numerical methods with emphases their general properties. It should lead to the ability in concrete situations to decide whether a numerical procedure is a suitable tool for solving a particular problem. An important ingredient of the course consists in the algorithmic implementation of methods and in the utilization of existing computer programs specialized for numerical computations.
The graduate of this course should know:
• to recognize problems suitable for solving by numerical procedures and to find an appropriate numerical method;
• to decide whether the computed solution is sufficiently accurate and, in case of need, to assess reasons of inaccuracies;
• to propose an algorithmic procedure for solving the problem and to choice a suitable computer environment for its realization.
Teaching methods
Lectures
Individual consultations
Tutorials
Other activities
Summary
The course is devoted to basic numerical methods of the linear algebra and mathematical analysis: iterative methods for solving of nonlinear equations, direct and iterative methods for solving of linear systems, eigenvalue problems, interpolation and approximation of functions, numerical computation of derivatives and integrals, solving of ordinary differential equations. The programming system Matlab is used during the course.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Domácí programy, písemky.
E-learning
Other requirements
Students have to know lessons Math I and Math II.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
block number 1
Introduction (precisions, methods)
Interpolation
Least square method
Roots finding (bisection method, Newton's .method)
block number 2
Iteratice methods for linear equations
Numerical integrations
ODE solver
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction