The aim of the course is to teach differential and integral calculus in one variable and the grounding of ordinary differential equations and functions of several variables.
The course provides the fundamentals of integral calculus - differential for functions of one and more ' variables and the first elements of study for ordinary differential equations .
Calculations of limits of one variable functions, graphs of functions, integral calculus, elementary study of level curves of functions of two variables, solution of simple first order differential equations and linear equations of order n with constant coefficients.
72 hours of theoretical lessons, 48 hours of classroom practices.
Real numbers, infimum and supremum, functions of one real variable, elementary functions, limits, infinitesimals and infinities, continuous functions, derivable functions, differentiable functions, Taylor’s formula, expansion of elementary functions, primitives and indefinite integrals, methods of indefinite integration, definite integrals, fundamental theorem of integral calculus, first order differential equations, Cauchy’s problem and theorem, resolution of linear first order differential equations and separable variables equations, linear differential equations with constant coefficients of order n.
P. Marcellini – C. Sbordone: Calcolo, Liguori Editore, Napoli, or any other good text of mathematical analysis.
M.Baronti-F.De Mari-R.Van Der Putten-I.Venturi: Calculus Problems, Springer
Ricevimento: 2 hours every week
MARCO BARONTI (President)
LAURA BURLANDO
MAURIZIO CHICCO
MICHELA LAVAGGI
MANUEL MONTEVERDE
September 2016
MATHEMATICAL ANALYSIS I
The final exam consists in a written test and an oral test. During the course some written tests may be performed too.
