norsk norsk&engelsk / norwegian&english

Course Description REA2011 - Mathematics 20 (2003/2004)

LevelUndergraduate
ECTS Credits6
Duration1 semester (Autumn)
LanguageNorwegian
Prerequisite(s) 
Aim

The aim of the course is to strengthen the student's mathematical background within selected topics.Mathematical modelling and practical use in engineering will be emphasized.Mathematical software (Matlab/Maple) may be used as a tool for an improved understanding of new concepts as well as solving computational problems.

Content

The Laplace transform:Laplace transforms, inverse Laplace transforms, solving linear differential equations using Laplace, transfer functions, block diagrams, modelling of dynamic systems, simulation using Matlab/Maple, poles, zeros and the s-plane. Power series:Series, convergence, geometric series, Taylor and Maclaurin series, binomial series, convergence tests, linearization.Fourier series:Periodic functions, even and odd functions, Fourier series, half-range series, frequency response.Functions with two variables:Partial derivatives, drawing graphs, maximum and minimum problems in two variables, differentials.

Study MethodsLectures, Arithmetic exercises
AssessmentWritten Exam, 5 hours
Grading SystemAlphabetical Scale, A (best) - F (fail)
Course RequirementsNone
Supplementary Information