Course syllabus

Numerisk analys
Numerical Analysis

FMNF05, 6 credits, G2 (First Cycle)

Valid for: 2023/24
Faculty: Faculty of Engineering, LTH
Decided by: PLED F/Pi
Date of Decision: 2023-04-18

General Information

Main field: Technology.
Compulsory for: D3
Elective for: C4
Language of instruction: The course will be given in English

Aim

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

Learning outcomes

Knowledge and understanding
For a passing grade the student must

Competences and skills
For a passing grade the student must

Contents

Error analysis, numerical methods for systems of (non-) linear equations, the least squares method, polynomial interpolation, splines, Bezier curves, numerical integration, computation of eigenvalues, the Discrete Fourier transform.

Examination details

Grading scale: TH - (U,3,4,5) - (Fail, Three, Four, Five)
Assessment: The final grade is based on a written examination and possibly on optional assignments. In case there are optional assignments that may influence the grade, information about this will be given at the start of the course. Any merit points on optional assignments are only valid till the end of the academic year, i.e. for the scheduled exam and the two following re-sit opportunities. Students who do not hand in solutions to the assignments may still obtain the highest grade provided they do well enough at the examination.

The examiner, in consultation with Disability Support Services, may deviate from the regular form of examination in order to provide a permanently disabled student with a form of examination equivalent to that of a student without a disability.

Admission

Assumed prior knowledge: FMAB20 Linear Algebra, FMAB65 Calculus in One Variable B1, FMAB70 Calculus in One Variable B2, FMAB30 Calculus in Several Variables, and experience of programming in Matlab or Pyhon/NumPy.
The number of participants is limited to: No
The course overlaps following course/s: FMN041, FMN050, FMN081, FMNF01, FMN011, FMNF10, FMNF15

Reading list

Contact and other information

Course coordinator: Anders Holst, Studierektor@math.lth.se
Course administrator: Studerandeexpeditionen, expedition@math.lth.se
Teacher: Andreas Langer, Andreas.Langer@math.lth.se
Course homepage: https://canvas.education.lu.se/courses/20366
Further information: During the course there are some optional assignments. Students who hand in solutions will receive feedback.