# Università degli Studi di Napoli "Parthenope"  ## Teaching schedule

2019/2020
Belonging course:
Course of Bachelor's Degree Programme on COMPUTER SCIENCE
Disciplinary sector:
MATHEMATICAL ANALYSIS (MAT/05)
Language:
Italian
Credits:
9
Year of study:
2
Teachers:
Cycle:
First Semester
Hours of front activity:
72

Italian

### Course description

The purpose of the course is to provide the students with the necessary background of differential and integral calculus for functions of several variables, differential equations and some notions of probability theory. A further aim is to apply analytical techniques in other scientific disciplines.

Learning outcomes (declined compared with respect to the Dublin descriptors)

Knowledge and understanding. Knowledge of the differential and integral calculus for functions of several variables. The student will be able to state and prove basic theorems of Mathematical Analysis.

Applying knowledge and understanding. The ability to understand the problems proposed during the course, the ability concerning a correct application of the theoretical knowledge. The student will be able to study functions, to solve integration problems, to solve differential equations of first and second order, to discuss the behavior of series of functions.

Making judgments. Develop the ability to critically evaluate the problems and propose the most appropriate approach

Communication skills. Ability to report and present the results with a logical-deductive and synthetic exposition. He must be able to explain (even to non-expert people) the power of some applications of the mathematical tools described in the course, in the field of Engineering.

Ability to learn.
Ability to develop, outline, summarize the contents from several sources, in order to achieve a broad overview of the problems connected to the topics discussed in the course. The student will also develop the skill of learning more advances techniques of Mathematical Analysis.

### Prerequisites

It is necessary to acquire and assimilate the following knowledge provided by the course "Mathematical I": sequences of real numbers, differential and integral calculus for functions of one variable, linear systems.

### Syllabus

Series and power series: Taylor expansions. Differential calculus for functions of several real variables. Differential equations of first and second order.
Line Integral and differential forms. Double and triple integrals. A glimpse to probability theory: combinatorial calculus, basic definitions of probability, conditional probability, the Bayes theorem, random variables.

Series and power series: Taylor expansions. Differential calculus for functions of several real variables. Differential equations of first and second order.
Line Integral and differential forms. Double and triple integrals. A glimpse to probability theory: combinatorial calculus, basic definitions of probability, conditional probability, the Bayes theorem, random variables.

### Teaching Methods

Lectures, exercise sessions.