# SF1514 Numerical Methods, Basic Course 6.0 credits

### Offering and execution

#### No offering selected

Select the semester and course offering above to get information from the correct course syllabus and course offering.

## Course information

### 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.

#### 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.

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

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

• Be able to 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.

#### Course Disposition

No information inserted

### Literature and preparations

#### Specific prerequisites *

Completed course SF1625 Calculus in one variable or SF1673 Analysis in one variable.

Completed course DD1312 Programming Techniques and Matlab or similar.

#### Recommended prerequisites

SF1624 Algebra and Geometry, SF1626 Calculus in Several Variable

#### Equipment

No information inserted

#### Literature

Announced no later than 4 weeks before the start of the course on the course web page.

### Examination and completion

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 - Examination, 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.

In this course, the code of honour of the school is applied, see: http://www.sci.kth.se/institutioner/math/avd/na/utbildning/hederskodex-for-studenter-och-larare-vid-kurser-pa-avdelningen-for-numerisk-analys-1.357185

The examiner decides, in consultation with KTHs Coordinator of students with disabilities (Funka), about any customized examination for students with documented, lasting disability.

#### Opportunity to complete the requirements via supplementary examination

No information inserted

#### Opportunity to raise an approved grade via renewed examination

No information inserted

### Further information

#### Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web SF1514

SCI/Mathematics

Technology

First cycle