- 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.
SF1512 Numerical Methods, basic course 6.0 credits
Information per 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.
Information for Autumn 2025 CENMI programme students
- Course location
KTH Campus
- Duration
- 25 Aug 2025 - 12 Jan 2026
- Periods
- P1 (3.0 hp), P2 (3.0 hp)
- Pace of study
17%
- Application code
51767
- Form of study
Normal Daytime
- Language of instruction
Swedish
- Course memo
- Course memo is not published
- Number of places
Places are not limited
- Target group
CMATD2 CENMI2
- Planned modular schedule
- [object Object]
- Schedule
- Schedule is not published
- Part of programme
Contact
Course syllabus as PDF
Please note: all information from the Course syllabus is available on this page in an accessible format.
Course syllabus SF1512 (Autumn 2021–)Headings with content from the Course syllabus SF1512 (Autumn 2021–) are denoted with an asterisk ( )
Content and learning outcomes
Course contents
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
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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.
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choose, apply and implement numerical methods to produce a solution to a given problem.
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use concepts in numerical analysis to describe, characterize and analyze numerical methods and estimate the reliability of numerical results.
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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.
Literature
You can find information about course literature either in the course memo for the course offering or in the course room in Canvas.
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
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.
Examiner
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.
Offered by
Main field of study
Technology
Education cycle
First cycle