**Topics:**
Applications of Galois Theory: Primitive element theorem, Fundamental Theorem of Algebra, Cyclotomic extensions, Dedekind’s theorem on the independence of characters, Normal basis theorem, Hilbert’s Theorem 90, Cyclic extensions, Kummer theory, Proof of Galois’s solvability theorem, Symmetric polynomials, General polynomial of degree n, Norms and traces

** [Homeworks] **