Valid for: 2012/13
Decided by: Education Board 1
Date of Decision: 2012-03-22
Main field: Technology.
Compulsory for: E3
Elective Compulsory for: I3
Language of instruction: The course will be given in English on demand
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 using computers forms a central part of the course.
Knowledge and understanding
For a passing grade the student must
be able to choose suitable computational methods to solve simple problems that occur in mathematical models in, e.g., electronics, and to be able to construct computable approximations. Moreover, students must be able to independently implement and to apply such algorithms.
Competences and skills
For a passing grade the student must
- be able to independently select and apply computational algorithms using a computer, and be able to evaluate both accuracy and relevance of the numerical results.
- report solutions to problems and numerical results in written form.
Judgement and approach
For a passing grade the student must
- write a logically well structured report in suitable terminology on the construction of basic mathematical models and algorithms.
- write an algorithmically well structured report in suitable terminology on the numerical solution of a mathematical problem.
Software for scientific computing, error analysis, computer arithmetic, condition number, systems of linear equations, method of least squares, calculation of eigenvalues, solution of nonlinear equations using fixed point or Newton iterations, interpolation, ordinary differential equations, basic signal processing using FFT.
Grading scale: TH
Assessment: The grade is based on homework assignments and a written exam.
Required prior knowledge: FMA420 Linear Algebra, FMAA01/05 Calculus in One Variable, FMA430 Calculus in Several Variables, and experience with MATLAB.
The number of participants is limited to: No
The course overlaps following course/s: FMN011, FMN041, FMN081, FMN130, FMNF01, FMNN10
Course coordinator: Studierektor Anders Holst, Studierektor@math.lth.se
Course homepage: http://www.maths.lth.se/education/lth/courses/numan/2012/