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Full Description
The recen t Europea n Programm e Specification s hav e force d a reassessmen t o f th e structure an d syllab i o f th e entir e syste m o f Italia n highe r education , an d a n ensuing rethinkin g o f th e teachin g material . Nowadays man y lectur e courses , especiall y rudimentar y ones , deman d tha t st- dents maste r a larg e amoun t o f theoretica l an d practica l knowledg e i n a spa n o f just fe w weeks , i n orde r t o gai n a smal l numbe r o f credits . A s a result , instructor s face th e dilemm a o f ho w t o presen t th e subjec t matter . The y mus t mak e appr- priate choice s abou t lectur e content , th e comprehensio n leve l require d fro m th e recipients, an d whic h kin d o f languag e t o use .
Contents
Basic notions.- Functions.- Limits and continuity I.- Limits and continuity II.- Local comparison of functions. Numerical sequences and series.- Differential calculus.- Taylor expansions and applications.- Geometry in the plane and in space.- Integral calculus I.- Integral calculus II.- Ordinary differential equations.
