DifferentialsLaajuus (5 cr)

Objective

After completing the course the student can:utilize derivatives in sketching graphsutilize differentials in estimating changes and errorssolve separable and linear first order differential equationscalculate areas, volumes, mean values of functionsutilize a mathematical programuse correctly mathematical denotations explained during the course

Content

basics of functionslimits and continuityderivatives and differentiationdifferentialsindefinite and definite integralsapplications of integration (areas, volumes, mean values)applications of differentialsseparable differential equationsfirst and second order linear differential equationsusage of mathematical programs