The objective of this course is to acquire the basic knowledge of Mathematical Analysis. In particular, the objectives, expressed according to the Dublin descriptors, are the following:

Knowledge and understanding
the student will learn the fundamental notions related to integral calculus for real functions of a variable and to differential calculus for functions of one variable. Moreover he will learn the notions related to the operations between vectors and to the solution of linear systems.

Applying knowledge and understanding:
Through targeted examples, the student will be able to verify the need to resort to Mathematical Analysis in the scientific field and not only as a discipline for its own sake. You will be able to use the calculation tools you have learned to solve problems applied to reality or to other disciplines.

Making judgments:
the student is frequently assigned exercises to be carried out independently by stimulating the acquired skills. Furthermore, simulations of exam tests are periodically carried out.

Communication skills:
The student is constantly stimulated during the course to interact with the teacher; you will acquire the ability to communicate by expressing yourself in a correct language applied to the mathematical context. This will stimulate the acquisition of a mathematical language useful for communicating clearly in the scientific field.

Learning skills
The student will be guided to perfect their study method also through exercises carried out regularly, they will be able to autonomously deepen their knowledge and tackle new topics by recognizing the prerequisites necessary for their understanding.

The objective of this module is to show to the students the fundamental aspects of computer science and to lead them to begin to code, paying particular attention to the development of their logical and problem-solving skills.
In the first part, thus, the bases of Boolean algebra (from its definition to logical operations) will be presented, followed by notions of logical functions and circuits.
In the second part, instead, Matlab® software will be used to teach to the students the bases of coding, so as to make them capable to solve algorithmically some mathematical problems. Then, Python language will be introduced, starting from the choice of an IDE and the use of functions and libraries, and touching classes and object-oriented programming.
The above-mentioned tools will be also used to present the main aspects behind image representation and processing.

At the end of the course, students:
- will know the fundamental aspects of computer science;
- will be capable to solve mathematical problems using algorithms developed in Matlab®;
- will have programming skills in Python;
- will know the bases of image representation and processing.

The expected knowledge objectives are:
1) the theoretical knowledge of the contents of the course (Dublin descriptor n°1);
2) the competence in presenting technical topics (Dublin descriptor n°2);
3) the autonomy of judgment in proposing the most appropriate approach to solve a problem (Dublin descriptor n°3);
4) the ability to express the answers to the questions proposed by the board of examiners with language properties, to support a dialectical relationship during discussion and to demonstrate logical-deductive and summary abilities in the exposition (Dublin descriptor n°4).