The students will acquire a deeper knowledge of the evolution of Algebra, they wil know how to solve algebraic equations, they will know the construction and structure of finite fields and they will be see applications of Algebra to other branches of mathematics.
Course Content (Syllabus)
Construction of fields. Algebraic extensions - Classical Greek problems:
constructions with ruler and compass. Galois extensions - Applications: solvability of
algebraic equations - The fundamental theorem of Algebra - Roots of unity - Finite fields.