SF1546 Numerical Methods, Basic Course 6.0 credits

Numeriska metoder, grundkurs

  • Education cycle

    First cycle
  • Main field of study

    Technology
  • Grading scale

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

Course offerings

Spring 19 COPEN, CLGYM for programme students

Spring 19 CMAST ITSY2 for programme students

Spring 20 for programme students

Intended learning outcomes

A general aim with the course is to give the student the understanding that numerical methods are needed to make reliable and efficient simulations of technical and scientific processes based on mathematical models.

On completion of the course, the student should be able to

  • identify different mathematical problems and reformulate them in a way that is appropriate for numerical treatment
  • choose appropriate numerical method for treatment of the given problem
  • explain choice of method by accounting for advantages and limitations
  • choose an algorithm that implies efficient calculations and implement it in a programming language, suited for calculations e.g. Matlab
  • present the results in a relevant and illustrative way
  • estimate the reliability of the results
  • use functions from the programming language library for efficient calculations and visualisation.

Course main content

Basic ideas and concepts: algorithm, local linearisation, iteration, extrapolation, discretisation, convergence, stability, condition.

Estimation of reliability: parameter sensitivity, experimental perturbation calculation, precision.

Numerical methods for: linear systems of equations, nonlinear equations and systems of equations, interpolation, model adaptation with the least squares method, optimisation, integrals and differential equations.

Using mathematical software to solve engineering mathematical problems, make numerical experiments and present solutions.

Eligibility

For non-program students: basic university qualification and 15 credits in mathematics and 6 credits computer science or programming technique.

Recommended prerequisites

SF1624 Algebra and Geometry, SF1626 Calculus in Several Variable

Literature

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

Examination

  • LABA - Laboratory Work, 1.5, grading scale: P, F
  • LABB - Laboratory Work, 1.5, grading scale: P, F
  • TEN1 - Exaination, 3.0, grading scale: A, B, C, D, E, FX, F

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

Requirements for final grade

A written examination (TEN1; 3 credits).
Laboratory assignments (LABA; 1.5 credits).
Laboratory assignments with oral and written presentation (LABB; 1.5 credits).

Offered by

SCI/Mathematics

Contact

Olof Runborg (olofr@kth.se)

Examiner

Olof Runborg <olofr@kth.se>

Add-on studies

SF2520 Applied Numerical Methods, SF2521 Numerical Solutions of Differential Equations,

SF2561 The Finite Element Method, SF2568 Parallel Computations for Large- Scale Problems

Version

Course syllabus valid from: Spring 2014.
Examination information valid from: Autumn 2013.