Counting Principle, Sylow's Theorems, Direct Products, Finite Abelian Groups, Quotient Rings, The Field of Quotients of an Integral Domain, Euclidean Rings, A Particular Euclidean Ring, Polynomial Rings, Polynomials over the Rational Field, Polynomial Rings over Commutative Rings, Extension Fields, Roots of Polynomials, The Elements of Galois Theory.
Main Textbook: Topics in Algebra, I. N. Herstein, 3rd Edition John Willey and sons USA. First course in Abstract Algebra, John B. Fraleigh, Pearson Education 20 07