Numerical Methods

Course code

MLM6246.DT

old course code

Course title in Estonian

Arvutusmeetodid

Course title in English

Numerical Methods

ECTS credits

4.0

Assessment form

Examination

lecturer of 2023/2024 Spring semester

Tõnu Tõnso (language of instruction:Estonian)

lecturer of 2024/2025 Autumn semester

Not opened for teaching. Click the study programme link below to see the nominal division schedule.

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.

Learning outcomes in the course

Upon completing the course the student:

- can 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

- can 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;

- analyses and evaluate the accuracy of common numerical methods. Implement numerical methods in Mathematica

- can 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

- can 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;

- analyses and evaluate the accuracy of common numerical methods. Implement numerical methods in Mathematica

Teacher

Tõnu Tõnso

Prerequisite course 1

Prerequisite course 2

Study programmes containing that course

Mathematics, Mathematical Economics and Data Analysis (MLMB/24.DT)

Mathematics, Mathematical Economics and Data Analysis (MLMB/23.DT)

Mathematics, Mathematical Economics and Data Analysis (MLMB/22.DT)

Mathematics, Mathematical Economics and Data Analysis (MLMB/21.DT)

Mathematics, Mathematical Economics and Data Analysis (MLMB/20.DT)

Mathematics, Mathematical Economics and Data Analysis (MLMB/19.DT)

Mathematics, Mathematical Economics and Data Analysis (MLMB/18.DT)

Mathematics, Mathematical Economics and Data Analysis (MLMB/23.DT)

Mathematics, Mathematical Economics and Data Analysis (MLMB/22.DT)

Mathematics, Mathematical Economics and Data Analysis (MLMB/21.DT)

Mathematics, Mathematical Economics and Data Analysis (MLMB/20.DT)

Mathematics, Mathematical Economics and Data Analysis (MLMB/19.DT)

Mathematics, Mathematical Economics and Data Analysis (MLMB/18.DT)