• Svenska

SF1512 Numerical Methods, basic course 6.0 credits

Choose semester and course offering

Choose semester and course offering to see current information and more about the course, such as course syllabus, study period, and application information.

Application

For course offering

Autumn 2024 CENMI programme students

Application code

50708

Headings with content from the Course syllabus SF1512 (Autumn 2021–) are denoted with an asterisk ( )

Content and learning outcomes

Course contents

• Basic ideas and concepts: algorithm, computational cost, local linearisation, iteration, recursion, interpolation, extrapolation, discretisation, convergence, stability, condition.
• Estimation of reliability: parameter sensitivity, perturbation calculation.
• Numerical methods: linear and non-linear systems of equations, differential equations: initial-value problems and boundary value problems, curve fitting: interpolation and the least squares method.
• Application of mathematical software for the solution of mathematical problems, make numerical experiments and present solutions.

Intended learning outcomes

A general aim with the course is to give the student the understanding that numerical methods and programming techniques are needed to make reliable and efficient simulations of technical and scientific processes based on mathematical models. After the course, the students shall be able to

• identify and classify the mathematical subproblems that need to be solved for a general formulation of a technical or scientific problem, and reformulate them to be suitable for numerical treatment.

• choose, apply and implement numerical methods to produce a solution to a given problem.

• use concepts in numerical analysis to describe, characterize and analyze numerical methods and estimate the reliability of numerical results.

• Be able to clearly present problem statements, solution approaches and results in a reasonable way.

Literature and preparations

Specific prerequisites

• Completed course SF1625 Calculus in one variable or SF1673 Analysis in one variable.
• Completed course DD1310 Programming Techniques or similar.

Recommended prerequisites

No information inserted

Equipment

No information inserted

Literature

No information inserted

Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

A, B, C, D, E, FX, F

Examination

• LABA - Laboratory work, 1.5 credits, grading scale: P, F
• LABB - Laboratory work, 1.5 credits, grading scale: P, F
• TEN1 - Written exam, 3.0 credits, grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

No information inserted

Ethical approach

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Further information

Course room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Technology

First cycle