OVERVIEW

The course is directed to second year students which are familiar with basic notions in Calculus and Analytical Geometry.

LEARNING OUTCOMES

Provide basic concepts and more specific mathematical tools to better understand the contents of some nautical engineering courses .

AIMS AND LEARNING OUTCOMES

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.

PREREQUISITES

Basic notions in Calculus and Analytical Geometry.

Teaching methods

60 hours of distance lectures until the end of sanitary emergency. Subsequently frontal lectures in a classroom

SYLLABUS/CONTENT

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

RECOMMENDED READING/BIBLIOGRAPHY

 R.A. Adams, Calcolo Differenziale 1 e Calcolo Differenziale 2 Casa

Editrice Ambrosiana.

Notes & Exercises in  aulaweb ( a.a. 10/11 and the following)

Exam Board

DANILO PERCIVALE (President)

STEFANO VIGNOLO

Teaching methods

60 hours of distance lectures until the end of sanitary emergency. Subsequently frontal lectures in a classroom

ORARI

L'orario di tutti gli insegnamenti è consultabile su EasyAcademy.

Vedi anche:

MATHEMATICAL ANALYSIS 2

Exam description

A written test is required which could be followed by another confirmation test whenever professor considers it necessary.

Assessment methods

Outcome of  written test and its possible confirmation.

Exam schedule