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Engineering Mathematics (MATLD0129), 4 op
Perustiedot
| Kurssin nimi: | Engineering Mathematics |
| Winhakoodi: | MATLD0129 |
| Kurren lyhenne: | EngMath |
| Opintopisteet: | 4 |
| Opintojakson taso: | Perusopinnot |
| Toteutusvuosi: | 1.vsk |
| Jakso: | Syyslukukausi, 1.jakso, 2.jakso |
| Lukuvuosi: | 0607 |
| Opetuskieli: | English |
| Opettaja: | Jaakko Pitkänen |
| Lopullinen arviointi: | Arvosteluasteikolla (0-5) |
Kuvaukset
Esitietovaatimukset
Finnish Gymnasium with long studies in Mathematics or equivalent.
Sisältö (ydinaines ja -osaaminen)
Rules of algebra especially in modifying expressions. Solving equations and sets of equations. Elementary functions in engineering applications, graphs of functions. Matrix as an aggregate of data, basics of modelling by matrices and vectors. Mathematics for changes: esp. derivative as a rate of change of a quantity. Dealing with numerical data in applications: esp. interpolation and numerical derivative, curve fitting. Digital image in spatial domain, modifying an image by histogram methods. Basics of computer mathematics.
Sisältö (täydentävä ja erityisosaaminen)
Standard matrix of a linear transformation; homogenous co-ordinates. Special forms of numerical derivatives. Least squares method (LSM); interpolation and curve fitting with LSM.
Tiedolliset oppimistulokset (ydinaines ja -osaaminen)
After completing the course the student will recognise typical mathematical structures and know their basic properties. Will know several ways to represent data and information. Will understand how to represent changes in exact mathematical ways. Understands what a digital image is in terms of mathematics.
Taidolliset oppimistulokset (ydinaines ja -osaaminen)
After completing the course the student will be able to manipulate expressions by hand and by a computer. Will be able to analyse functions to get insight in the properties of functions. Will be able to model simple practical problems and solve them. Will be able to process images with histogram methods. Will be able to use a computer to solve simple engineering problems.
Kirjallisuus ja muu materiaali
Opetusmenetelmät
Contact teaching, laboratory exercises and homework, group work.
Opiskelijan kuormittavuus
Luennot - 35
Tentti - 4
Itsenäinen työskentely - 50
Projekti - 10
Laboratoriotyöt - 35
Arvioinnin perusteet
Two examinations with approval (at least 40% of the maximum) and laboratory work(s) or a group work.