Course Handouts; see the course web page at:
https://e-l.unifi.it/
Learning Objectives
The course aims to provide the students with fundamental knowledge and understanding in Group Theory and Galois Theory.. Special attention will be paid to help the students to develop skills necessary for rigorous formal reasoning. The course covers topics and provides learning skills that are needed, or strongly suggested, to pursue a degree in mathematics.
Prerequisites
Algebra I
Teaching Methods
Lectures: Presentation of the theory described in the course program, with teacher-student direct interaction, to ensure a full understanding of the subject.
Training sessions: training of the students to modelling and solving a wide selection of problems in Group Theory and Galois Theory . The training sessions are conducted so to:
-- help the students develop communication skills and apply the theoretical knowledge;
-- encourage independent judgement in the students.
Moodle learning platform: online teacher-student interaction, posting of additional notes, weekly exercise sheets, copies of past tests.
Remark: The suggested reading includes supplementary material that may be useful for further personal studies in mathematics or in any scientific subject.
Type of Assessment
Intermediate and final written examination: A selection of exercises is proposed. The tests are designed to assess the ability of the students to apply their skills to problem solving and finding sound and rigorous arguments and proofs. In the evaluation, special attention is paid to the correctness of the solution procedure, as well as to the originality and effectiveness of the methods adopted.
Oral examination: A number of questions are posed. The oral examination is designed to evaluate the degree of understanding of the theory presented in the course. In the assessment, special attention is paid to communication skills, critical thinking and appropriate use of mathematical language.