Syllabus academic year 2010/2011
(Created 2010-07-25.)
Credits: 7,5. Grading scale: TH. Cycle: G2 (First Cycle). Main field: Technology. Language of instruction: The course will be given in English on demand. FMNF01 overlaps following cours/es: FMN011, FMN041, FMN050, FMN081, FMN130 and FMNN10. Alternative for: M3. Course coordinator: Claus Fuhrer, and Anders Holst,, Numerical Analysis. Recommended prerequisits: FMAA01 Calculus in One Variable, FMA421 Linear Algebra with Scientific Computation, FMA430 Calculus in Several Variables. The course might be cancelled if the number of applicants is less than 10. Assessment: Written exam, homework assignments and a project. The grade is based on the exam and on the homework assignments. Parts: 2. Home page:

The aim of the course is to teach basic computational methods for solving simple and common mathematical problems by computer and numerical software. This includes the construction, application and analysis of basic computational algorithms. Problem solving by computers is a central part of the course.

Knowledge and understanding
For a passing grade the student must

be able to approximate functions with polynomials and splines and be able to estimate the approximation error.

be able to apply and analyse basic discretisation methods for initial value problems.

be able to implement basic algorithms on his/her own.

Skills and abilities
For a passing grade the student must

be able to independently select and apply computational algorithms.

be able to evaluate both accuracy and relevance of numerical results.

be able to report solutions to problems and numerical results in written form,

Judgement and approach
For a passing grade the student must

be able to write a logically well structured report in suitable terminology on the construction of basic mathematical models and algorithms.

be able to write an algorithmically well structured report in suitable terminology on the numerical solution of a mathematically posed problem.

Error analysis, numerical methods for linear and nonlinear equation systems, the least squares method, polynomial and spline interpolation, Bezier curves, numerical integration, ordinary differential equations.

Sauer, T. Numerical Analysis. Pearson 2006. ISBN: 0-321-26898-9.


Code: 0110. Name: Numerical Analysis.
Higher education credits: 6. Grading scale: TH. Assessment: Written test and homework assignments. Contents: See above, contents.

Code: 0210. Name: Project in Numerical Analysis.
Higher education credits: 1,5. Grading scale: UG. Assessment: Approved project. Further information: The aim is to in the form of a project enhance the student's understanding of the course. The project is chosen with regard to the student's interests.