The following is a tentative syllabus for the course. Practice exercises are from the text and are not to be graded. It is good to choose a few practice problems from each set to check your understanding.
Week  Lectures  Sections in Text  Brief Description  Practice Exercises 

1  9/16  Ch 1, 2  Introduction, Operations  Chapter 2: A, B 
9/18  Ch 3, 4  Groups  Chapter 3: A, B, D Chapter 4: C, D 

9/19  (xhour)  Proof techniques (Practice) (Solutions)  
9/20  Ch 5  Subgroups  Chapter 5: A.1,4,6, B.13, C.1,4, E  
2  9/23  Ch 6, 7  Functions, permutations  Chapter 6: B.13, D.2, E.3,5 Chapter 7: B, D, F.2 
9/25  Ch 7, 8  Permutations of a finite set  Chapter 8: A.5,6, B.4,5, C.1, D.13  
9/27  Ch 9  Isomorphisms  Chapter 9: B.3, E.2,6  
3  9/30  Ch 9,10  More on isomorphisms, order of group elements  Chapter 10: B, C, F 
10/2  Ch 11  Cyclic groups  Chapter 11: A, B, E  
10/3  (xhour)  Problem session (Practice) (Solutions)  
10/4  No class today.  
4  10/7  Ch 12  Partitions and equivalence relations  Chapter 12: A.12, B.14, C.16 
10/9  Exam 1 inclass portion  Material through Ch 11. Takehome portion due 10/11.  
10/11  Ch 13  Cosets and Lagrange's Theorem  Chapter 13: A.12, B.35, C.4, E.13  
5  10/14  Ch 14  Homomorphisms and normal subgroups  Chapter 14: A.2,4, B.6, C.13, D.14 
10/16  Ch 15  Quotient groups  Chapter 15: A.1,5,6, B.13, C.1  
10/18  Ch 16  Fundamental homomorphism theorem  Chapter 16: A.1,4,5, C.13  
6  10/21  Ch 16  More on FHT  
10/23  Ch 17  Rings  Chapter 17: A.17, C.13, H.13, I.14  
10/24  (xhour)  Problem session (Practice) (Solutions)  
10/25  Ch 18  Ideals and homomorphisms  Chapter 18: A.3,6, B.14, C.1,3,4, E.1,3,4, G.5  
7  10/28  Ch 19  Quotient rings  B.1,3,4, C.1,2, E.2,6, F.14 
10/30  Exam 2 inclass portion  Material through Ch 18. Takehome portion due 11/1.  
11/1  Ch 20  Integral domains  Chapter 20: A.1,3,5, B.1, C.1, E.7  
8  11/4  Ch 20  Finite fields  Chapter 20: D.17, F.13 
11/6  Ch 24  Polynomial rings  Chaper 24: A.1,2,5, B.4, C.2,3  
11/7  (xhour)  Special topic: elliptic curves  Note: Not covered on the final exam.  
11/8  Ch 25  Factoring polynomials  Chapter 25: A.3, B.17, C.1  
9  11/11  Ch 25  Factoring polynomials  Chapter 25: D.3, F.14 
11/13  Ch 26  Substitution in polynomials  Chapter 26: A.14, C.14,7  
11/15  Ch 26  Eisenstein's irreducibility criterian  Chapter 26: B.1,5, E.14  
10  11/18  Wrapup  Final Exam Study Guide (Practice) (Solutions) 