TTIT25	Calculus, 13,5 ECTS-points /Analys för IT, del 1/ Advancement level: B
	Aim: That the students shall be confident with the mathematical concepts and methods, that are needed in applications in natural science. Furthermore, the students shall be capable in calculus, problem solving and modelling, and they shall be able to analyse the results of the models. Course organization: We try to apply problem-based learning, PBL. Course content: Real and complex numbers. Polynomials and other elementary functions. Sequences, limits, continuity and derivatives. Properties for continuous and differentiable functions. Function study, with applications. Taylor and Maclaurin formula, with applications. Numerical series. Indefinite and definite integrals. Methods of integration. Applications of integrals, e.g. area, arc length, volume of revolution, area of revolution and centre of mass. Improper integrals. Polar and Cartesian coordinates. Ordinary differential equations. First order separable and linear differential equations. Linear differential equations with constant coefficients. Some special equations. Course literature: According to the list of literature.
TEN1	, 8 p.
UPG1	Written examination, 1 p.

Course language is swedish.