DifferentialsLaajuus (5 cr)

Objective

After completing the course the student can: utilize derivatives in sketching graphs utilize differentials in estimating changes and errors solve separable and linear first order differential equations and also second order linear constant coefficient equations calculate areas, volumes, mean values of functions utilize a mathematical program use correctly mathematical denotations explained during the course.

Content

basics of functions limits and continuity derivatives and differentiation differentials indefinite and definite integrals applications of integration (areas, volumes, mean values) applications of differentials separable differential equations first and second order linear differential equations usage of mathematical programs