Course detail
Computerized Methods
FP-VMAcad. year: 2019/2020
Characterization of computing methods. Errors and their classification. Convergence and stability. Algebraic and transcendental equations. Systems of linear equations. Systems of nonlinear equations. Approximation of functions. Definite integrals. Monte Carlo methods.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Learning outcomes of the course unit
Prerequisites
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Points can be earned for:
• attendance - in min. 4 attendance + 2b (4/6 weeks),
• assignments in lessons - every hour (except for the first week) students have the opportunity to elaborate a task and get + 1b for the correct solution
Course curriculum
" General aspects of computing methods
" Errors, sources of errors and their classification
" Convergence and stability, computational complexity
" Approximate solution of algebraic and transcendental equations-bisection method, iteration methods, Laguerre method
" Approximate solution of systems of linear equations-iteration methods
" Approximate solution of systems of nonlinear equations- Gauss method
" Approximation of functions- least square method, spline method
" Monte Carlo method-application to numerical integration and solution of systems of linear equations
The contents of exercises :
" Solving of problems concerning the topics of lectures
" Writing up individual tasks using mathematical software
Work placements
Aims
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
2) Děmidovič, B.P., Maron I.A. : Základy numerické matematiky . 1.vydání. SNTL, Praha 1966. 452s. (CS)
Recommended reading
Classification of course in study plans
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
" General aspects of computing methods
" Errors, sources of errors and their classification
" Convergence and stability, computational complexity
" Approximate solution of algebraic and transcendental equations-bisection method, iteration methods, Laguerre method
" Approximate solution of systems of linear equations-iteration methods
" Approximate solution of systems of nonlinear equations- Gauss method
" Approximation of functions- least square method, spline method
" Monte Carlo method-application to numerical integration and solution of systems of linear equations
Exercise
Teacher / Lecturer
Syllabus
" Solving of problems concerning the topics of lectures
" Writing up individual tasks using mathematical software