Basic Course in Mathematics (MATLC0020), 9 op

Perustiedot

Esitietovaatimukset

Upper secondary school mathmematics (advanced course level) or a corresponding studies

Sisältö (ydinaines ja -osaaminen)

Algebraic simplification rules, principles for solving linear and quadratic equations, graphs, exponential, logarithmic and trigonometric functions, basic operations on vectors, complex numbers and matrices, linear systems of equations, derivative as a rate of change, derivatives of simple functions.

Sisältö (täydentävä ja erityisosaaminen)

Numerical methods, analytic geometry in space, turning points and points of inflexion, functions of a complex variable, error estimates, limits, eigenvalues, complicated functions and expressions. The concept of integrals.

Tiedolliset oppimistulokset (ydinaines ja -osaaminen)

After completion of this course the student is able to see the meaning of simple expressions and equations and can manipulate them. The student knows the basic functions and logarithmic units. The student is familiar with vectors, complex numbers and matrices and knows some of their applications. The student understands the concept of the derivative.

Taidolliset oppimistulokset (ydinaines ja -osaaminen)

After completion of this course the student is able to simplify and use simple formulas and solve simple equations. The student can transform complex numbers into different representations and do basic operations on vectors and matrices and use the inverse matrix to solve systems of linear equations. The student can differentiate simple functions.

Kirjallisuus ja muu materiaali

Croft ? Davison ? Hargreaves: Engineering Mathematics

Opetusmenetelmät

Lectures and presentations
laboratory assignments
examinations
homework and self-study

Opiskelijan kuormittavuus

Tentti - 6
Luennot ja tuntiharjoitukset - 98
Itseopiskelu - 108
Laboratoriotyöt - 28

Arvioinnin perusteet

Examinations (40 % of maximal points) and computer assignments

Koulutusohjelmakohtaiset kompetenssit