| Level | Undergraduate |
| ECTS Credits | 6 |
| Duration | 1 semester (Autumn) |
| Language | Norwegian |
| 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 Methods | Lectures, Arithmetic exercises |
| Assessment | Written Exam, 5 hours |
| Grading System | Alphabetical Scale, A (best) - F (fail) |
| Course Requirements | None |
| Supplementary Information |