Mathematics

General objectives: to develop the knowledge of Group Theory and Field Theory and acquire the knowledge of Galois Theory, with the natural applications to the solution of algebraic equations. Specific objectives: at the end of the course the student will have acquired basic knowledge and results concerning Galois Theory. Apply knowledge and understanding: the student will be able to solve problems of algebraic-combinational type requiring the use of techniques related to the presented topics. Critical and judgment skills: at the end of the course the student will have the basis for conducting him towards more complex questions in the framework of modern Algebra. Communication skills: the student will have the ability to communicate rigorously ideas and contents shown in the course. Learning skills: the acquired knowledge will allow to carry on an autonomous study in a possible interdisciplinary context.