The course is directed to second year students which are familiar with basic notions in Calculus and Analytical Geometry.
The course provides mathematical tools for better understanding basic concepts in Nautic Engineering.
The course provides basic notions about Functions of two variables, integration of continuous functions and ODE’s in view of applications in Physics and Nautic Engineering.
Basic notions in Calculus and Analytical Geometry.
Frontal lesson in a classroom
1) Functions of two variables. Limits and Continuity. Partial Derivatives. Higher order derivatives. Schwartz Theorem. The Chain rule. Differentiability and Differentials. Gradient and directional derivatives. Taylor’s formula .Implicit functions. Extreme values.
2) Double integrals. Iteration of double integrals.Change of variables in double integrals. The surface area of a graph. Moments and centers of mass. Moments of inertia.
3) Vector fields.Conservative fields. Line integrals of vector fields.Surfaces and surface integrals. Flux integrals.
R.A. Adams, Calcolo Differenziale 1 e Calcolo Differenziale 2 Casa
Editrice Ambrosiana.
Notes & Exercises in aulaweb ( a.a. 10/11 and the following)
DANILO PERCIVALE (President)
STEFANO VIGNOLO (President)
MATHEMATICAL ANALYSIS 2
A written test is required which could be followed by another confirmation test whenever professor considers it necessary.
Outcome of written test and its possible confirmation.
Professor will receive students by appointment.
