Course Details

Course Code (English)*

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Course Type (English)

Prerequisites (English) Basic math concepts

Course URL (e.g., on e-class)

Learning Outcomes (English) The course belongs to the wider area of Scientific Computing. Scientific calculations are the basis for many fields and an important tool for the study of scientific problems arising from many sciences such as Physics, Chemistry, Biology, Economics etc. Most of these problems lead to the solution of a mathematical problem, for which either there is not always an analytical solution, or if there is it requires complex calculations. The course also includes the implementation of algorithms in a laboratory environment, based on the programming language Python.

General Competencies (English) Search, analysis and synthesis of data and information with the use of the assorted technologies Adaptation in new conditions Decision Making Independent work Team work Promoting free, creative and deductive reasoning

Course Content (English) Errors in numerical calculaitons -Representation of numbers in memory, rounding error,s propagating error. Numerical solution of nonlinear equations - Dividing method - Fixed point problem - Newton Rapshon method - Cutting method - Horner shape Numerical methods for solving linear systems - Gaussian elimination method - Jordan elimination method - Three-diagonal system solution - Basic iterative methods Numerical calculation of eigenvalues and eigenvectors - Method of forces - Reverse method of forces. Approximation of functions - Finite differences - Interpolation polynomial Numerical derivation and integration - Types of numerical derivation for equidistant points - Numerical derivation by the method of determinable factors - Error in arithmetic derivation Numerical solution of ordinary differential equations - Euler method - Taylor series method - Numerical solution of ordinary differential equations with boundary conditions

Use of ICT (English) eclass

Is it elective? Άγνωστο Ναι Όχι

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Independent Study*

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