I.Contents：
1. Number Theory: The Fundamental Theorem of Arithmetic. Congruences.
2. Group Theory: Lagrange’s Theorem. Cayley’s Theorem. Finite Abelian Groups. Sylow Theorems.
3. Ring Theory: Field of Quotients, Euclidean Domains, Polynomial Rings.
II.Course prerequisite：
Linear Algebra. (suggested, not required)
III.Reference material ( textbook(s) )：
1. I. N. Herstein, Abstract Algebra.
2. I. N. Herstein, Topics in Algebra. (Textbook)
3. N. Jacobson, Lectures in Abstract Algebra, vol. 1
4. J. J. Rotman, A First Course in Abstract Algebra.
IV.Grading scheme：
Homework 20%; Midterm and Final Examinations,40% each.
V.Others：