- Use of mathematical software to solve scientific problems, run numerical experiments and present the solutions.
- Basic ideas and concepts in numerical methods: algorithms, computational cost, local linearization, iteration, discretization, stability, convergence.
- Assessment of reliability: parameter sensitivity, experimental perturbation calculation.
- Numerical methods for non-linear equations and linear systems of equations, integrals, interpolation, least squares method.
- Analytical and numerical methods for systems of ordinary differential equations.
SF1525 Basic Course in Numerical Methods 6.0 credits
This course gives an overview and basic skills in numerical methods for simulating technical and scientific processes based on mathematical models.
Information per course offering
Information for Spring 2025 Start 17 Mar 2025 programme students
- Course location
KTH Campus
- Duration
- 17 Mar 2025 - 2 Jun 2025
- Periods
- P4 (6.0 hp)
- Pace of study
33%
- Application code
60640
- 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
- No information inserted
- Planned modular schedule
- [object Object]
- Schedule
- 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 SF1525 (Spring 2022–)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 student should 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 in a form 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.
- Clearly present problem setups, solution approaches and results.
Literature and preparations
Specific prerequisites
Completed course SF1625 Calculus in one variable.
Equipment
Literature
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
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
Opportunity to raise an approved grade via renewed examination
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.