Numerical Methods

Course code

MLM6011.DT

old course code

MLM6011

Course title in Estonian

Arvutusmeetodid

Course title in English

Numerical Methods

ECTS credits

5.0

approximate amount of contact lessons

60

Teaching semester

spring

Assessment form

Examination

lecturer of 2019/2020 Autumn semester

õppejõud on määramata

lecturer of 2019/2020 Spring semester

Tõnu Tõnso (Estonian) ordinary course

Course aims

Core subject of the bachelor level mathematics programme. To develop basic skills in using the main numerical algorithms on computers.

Brief description of the course

Exact mathematics versus numerical methods. Solution of equations by iteration. Interpolation and splines. Orthogonal polynomials and their applications. The method of least squares and its applications. Numerical integration and differentiation. Optimisation methods. Numerical methods for differential equations.

Independent work

Independent work includes work with the textbooks and lecture notes, solving the exercises.

Learning outcomes in the course

Demonstrate understanding of common numerical methods and how they are used to obtain approximate solutions to otherwise intractable mathematical problems. Apply numerical methods to obtain approximate solutions to mathematical problems. Derive numerical methods for various mathematical operations and tasks, such as interpolation, differentiation, integration, the solution of linear and nonlinear equations, and the solution of differential equations. Analyse and evaluate the accuracy of common numerical methods. Implement numerical methods in Mathematica

Assessment methods

Theoretical examination gives 40% and three practical tests in classroom give 60% of the total number of points.

Teacher

lekt. Tõnu Tõnso

Prerequisite course 2

Study literature

Janno, J. Arvutusmeetodid. 2016, TTÜ, Tallinn.

Epperson, J. F. An introduction to numerical methods and analysis, 2007, John Wiley and Sons, New York.

Learning materials and computer programs: www.tlu.ee/~tonu/Arvmeet.

Epperson, J. F. An introduction to numerical methods and analysis, 2007, John Wiley and Sons, New York.

Learning materials and computer programs: www.tlu.ee/~tonu/Arvmeet.

Replacement literature

Tamme, E.; Võhandu, L.; Luht, L. 1971 Arvutusmeetodid I. Tallinn, Valgus;

Levin, M.; Ulm, S. 1977 Arvutusmeetodite käsiraamat. Tln;

Epperson, J. F. 2002 An Introduction to Numerical Methods and Analysis. J.Wiley.

Levin, M.; Ulm, S. 1977 Arvutusmeetodite käsiraamat. Tln;

Epperson, J. F. 2002 An Introduction to Numerical Methods and Analysis. J.Wiley.