DN1214 Numerical Methods, Basic Course 6.0 credits

Numeriska metoder, grundkurs

Offering and execution

Course offering missing for current semester as well as for previous and coming semesters

Course information

Content and learning outcomes

Course contents *

Fundamental ideas and concepts: algorithm, computational cost, local linearization, iteration, recursion, interpolation, extrapolation, discretization, convergence, stability, condition.

Reliability: parameter sensitivity, perturbation analysis.

Numerical methods: linear and non-linear systems of equations, differential equations, initial-value and boundary-value problems, curve fitting: interpolation and the method of least squares.

Intended learning outcomes *

An overlying goal with the course is the realization of the necessity of numerical methods in order to simulate technological and scientific processes based on mathematical models.

After completing this course, the students should be able to

  • identify various mathematical problems and reformulate these in a way suitable for numerical treatment
  • select a suitable numerical method for the treatment of the given problem
  • motivate the choice of a method by describing its advantages and limitations
  • select an algorithm leading to efficient computation and implement this in a programming language, suitable for scientific computing, e.g. Matlab
  • present the results in a relevant and illustrative way
  • provide an estimate of the accuracy of the results
  • utilize standard functions from e.g. Matlab's library for calculation, visualization and efficient programming

Course Disposition

No information inserted

Literature and preparations

Specific prerequisites *

No information inserted

Recommended prerequisites

Mathematical methods II besides Programming Technique with PBL.

Equipment

No information inserted

Literature

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Examination and completion

Grading scale *

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

Examination *

  • LAB1 - Laboratory Work, 1.5 credits, Grading scale: P, F
  • LAB2 - 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 all the regulations of the code of honor at the School of Computer science and Communication apply, see: http://www.kth.se/csc/student/hederskodex/1.17237?l=en_UK.

Other requirements for final grade *

A written examination (TEN1; 3 university credits)
Computer assignments (LABA; 1,5 university credits)
Computer assignments (LABB; 1,5 university credits)

Opportunity to complete the requirements via supplementary examination

No information inserted

Opportunity to raise an approved grade via renewed examination

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Examiner

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 DN1214

Offered by

SCI/Mathematics

Main field of study *

Technology

Education cycle *

First cycle

Add-on studies

DN2221 Applied Numerical Methods, part 1 and DN2222 Applied Numerical Methods, part 2. 

Contact

Katarina Gustavsson (katg@kth.se)

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.

Supplementary information

This course cannot be counted towards a degree if the student has taken some of the courses 2D1210, 2D1212/DN1212, 2D1213/DN1213, DN1215, 2D1240/DN1240, 2D1241/DN1241.