DN1215 Numerical Methods, Basic Course 7.5 credits
This course has been discontinued.
Last planned examination: Spring 2000
Decision to discontinue this course:
No information insertedContent and learning outcomes
Course contents
Basic concepts and ideas: algorithm, local linearization, iteration, extrapolation, discretization, convergence, stability, condition.
Reliability assessment: parameter sensitivity, experimental perturbations, precision.
Numerical methods for: linear and nonlinear systems of equations, interpolation, model-fitting with the method of least squares, optimization, quadrature. Methods for systems of ordinary and some partial differential equations, initial value problems, boundary value problems and methods for Fourier analysis.
The application of mathematical software in the solution of scientific and engineering problems, numerical experimentation, and the presentation of effective algorithms.
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.
Literature and preparations
Specific prerequisites
Recommended prerequisites
Mandatory first year courses in mathematics and a course in computer science or programming.
Equipment
Literature
G. Eriksson: Numeriska algoritmer med Matlab, CSC/Nada 2002.
T. Sauer: Numerical Analysis, Pearson 2006.
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
Examination
- LAB1 - Laboratory Work, 2.5 credits, grading scale: P, F
- PRO1 - Project, 2.5 credits, grading scale: P, F
- TEN1 - Examination, 2.5 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
Examination (TEN1; 2,5 hp) Laboratory assignments (LAB1; 2,5 hp) Project (PRO1; 2,5 hp)
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.
Further information
Course room in Canvas
Offered by
Main field of study
Education cycle
Add-on studies
2D1220/DN2220 Applied Numerical Methods I or 2D1250 /DN2250 Applied Numerical Methods II, 2D1225 /DN2225 Numerical Solution of Differential Equations I, 2D1266 /DN2266 Mathematical Models, Analysis and Simulation, Part I or 2D1252/DN2252 Numerical Algebra, 2D1264/DN2264 Parallel Computations for Large-Scale Problems part 1.
Contact
Supplementary information
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.