Algebra

The purpose of the course is to make students acquire the ability to formalize a problem and to 
probe the environment in which to look for any solutions. The course also aims to stimulate the
 ability of abstraction and provide the tools to use this abstraction to move from the particular 
to the general.

In particular, the course aims to make students acquire the following skills:

Knowledge and understanding: understanding statements and proofs of fundamental theorems of algebra; 
develop mathematical skills in reasoning, manipulation and calculation; solve mathematical problems
 which, although not common, are of a similar nature to others already known.

Applying knowledge and understanding: to demonstrate algebraic results not identical to those
 already known, but clearly related to them; build rigorous proofs; solve algebra problems that 
require original thinking; be able to mathematically formalize problems of moderate difficulty,
 formulated in natural language, and to take advantage of this formulation to clarify or solve them;

Making judgments: acquiring a conscious autonomy of judgment with reference to the evaluation and 
interpretation of the resolution of an algebraic problem; be able to construct and develop logical
 arguments with a clear identification of assumptions and conclusions; be able to recognize correct
 proofs, and to identify fallacious reasoning.

Communication skills: knowing how to communicate information, ideas, problems, solutions and their 
conclusions in a clear and unambiguous way, as well as the knowledge and rationale underlying them;
 know how to present scientific materials and arguments, orally or in writing, in a clear and
 understandable way.

Learning skills: having developed a greater degree of autonomy in the study.

Basic knowledge of mathematics present in all high school programs.

2. A. Ragusa - Corso di Algebra (Un approccio amichevole) - Aracne Ed.

3. M. Fontana - S. Gabelli - Insiemi numeri e polinomi - CISU

The final exam will consist of a written and an oral test, but it will also take into account what the 
student did during the year:

- during the year some exercises will be held, in which students will be offered problems to be solved
 individually or in small groups and during which the teacher will verify the progress of the test, 
suggesting ideas and correcting any errors. It will also be possible to propose tests on the theory 
studied.

- two tests will then take place, one in itinere and one at the end of the course
 (in conjunction with the exams) which, if passed, will give the student exemption from the written
 exam.

The grade will take into account the written test (or the ongoing tests), the oral learning 
and the student's active participation in lessons;
 the written tests are considered passed if a grade of not less than 15/30 is obtained. 
The final grade does not consist of an average of the marks in the tests, but the oral determines 
an increase in the grade of the written test. The vote may also take into account any positive 
feedback in the checks carried out during the year.

To take the final exam, you must have booked on the SmartEdu portal. For any technical issues 
regarding your booking, please contact the Academic Secretariat.