OVERVIEW

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

AIMS AND CONTENT

LEARNING OUTCOMES

The course provides  mathematical tools for better understanding basic concepts in Nautic Engineering.

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

Frontal lesson 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.Surfaces and surface integrals. Flux integrals.

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)

TEACHERS AND EXAM BOARD

Exam Board

DANILO PERCIVALE (President)

STEFANO VIGNOLO (President)

LESSONS

Class schedule

MATHEMATICAL ANALYSIS 2

EXAMS

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

FURTHER INFORMATION

Professor will receive students by appointment.