DifferentialsLaajuus (5 cr)

Objective

After completing the course the student canuse derivatives to analyse graphs,use differentials to approximate changes and errors, solve separable and linear first order differential equations,use integrals to calculate e.g. areas, volumes, mean values of functions,use relevant mathematical denotation correctly.

Content

Basics of functionsLimits and continuityThe derivative and differentiationDifferentialsAntiderivatives and the definite integralsApplications of integration (areas, volumes, mean values)Applications of differentials (change and error)Separable differential equationsFirst order linear differential equations