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
lecturer not assigned
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
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.
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.