decide whether a series of numbers converges or diverges and to find the convergence interval for power series
explain and apply the concepts gradient, parametrized curve and -surface and conic section
perform line-, double-, triple- and surface integration and apply these techniques to find arc length, area, volume and work
use digital tools in order to visualize surfaces and curves in space as well as to describe fundamental results and how terms are related
use polar-, cylindric- and spheric coordinates and to substitute in multiple integrals
apply Green's theorem, Stokes' theorem and the Divergence theorem
Theory of sequences and series, curves, surfaces, vector valued functions, multiple integrals, Green's theorem, Stokes theorem and the Divergence theorem. Applications.
Lectures, work in small groups and compulsory assignemets. Compulsory practice for students at the Advanced Teacher Education.The course has an expected workload of around 400 hours.
Required assignments must be approved, see Canvas for more information.
For students in teacher education must also two weeks of practice be approved. Students who are not in teacher education, must get one more compulsory assignement approved than students in teacher education.