Numerical MethodsLaajuus (5 cr)

Objective

Students learn basic facts on numerical methods and softwares, they learn to analyse round-off errors, solve equations with fix point iteration methods, gets familiar with interpolation and approximation methods, learns to construct Lagrange interpolation polynomials, cubic splines, and least squares polynomials, is able to solve systems of equation with LU matrix factorization and numerically withJacob and Gauss-Seidelin methods, learns basic munerical integration methods, like Simpson method, solve differential equations numerically, likeRunge-Kutta method. During the course students learnt to use computer software (like Mathematica or Matlab) when solving problems in exercises. Course develops critical and analytic thinking, problem solving skills and IT skills (Maxima or Matlab).

Content

Numerical methods in solving equations, interpolation, approximation, numerical integration and differentiation, numerical methods for solving differential equations, matrix methods and numerical methods in solving systems of equations, applications e.g. in integral transforms and vector analysis, introduction of mathematics softwares (Matlab and Mathematica) and basic skills in using them

Qualifications

Basic studies in mathematics

Materials

Kreyszig, E.: Advanced Engineering Mathematics, John Wiley & Sons. 2. Malek-Madani, Reza: Advanced Engineering Mathematics with Mathematica and Matlab, Addison-Wesley

Further information

Responsible Unit: School of Technology and Innovations NB! The course is not organised during academic year 2021-2022.

Execution methods

Luennot 28 h ja harjoitukset 14 h

Accomplishment methods

Exam Languages: language(s) of instructions: Finnish, completion language(s): Finnish/English