|SCIENTIFIC DISCIPLINARY SECTOR||MAT/05|
|MODULES||This unit is a module of:|
The course is directed to second year students which are familiar with basic notions in Calculus and Analytical Geometry.
Provide basic concepts and more specific mathematical tools to better understand the contents of some nautical engineering courses .
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.
60 hours of distance lectures until the end of sanitary emergency. Subsequently frontal lectures 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. Gauss-Green Formula
R.A. Adams, Calcolo Differenziale 1 e Calcolo Differenziale 2 Casa
Notes & Exercises in aulaweb ( a.a. 10/11 and the following)
Office hours: Until the end of the health emergency, a special Teams channel will be set up and students can post their requests. Periodically the teacher will post the answers on Stream
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.