Instructor  Office  Office hour  
Dr. Chi Li  MATH 734  9amnoon Tuesday, or by appointment  li2285@purdue.edu 
Textbook  A Book of Abstract Algebra: Second Edition (Dover Books on Mathematics), Charles C. Pinter 
Homework  Homework should be submitted in every Wednesday class (before the class). For example, HW1 is due on 8/30 and so on. There are 15 homework and the lowest 3 scores will be dropped. 
Quizzes  There will be 2 quizzes, each taking place in the last 20 minutes in a Friday class. Usually there will be two problems. No Makeups. Check Syllabus for the schedule. 
Grading: 

Week 
Sections 
Homework 
Notes 
Week 1: 8/218/25 
CH2: Operations CH3: Definition of groups 
CH2: B.2,B.5 C.2 CH3: A.3, B.1, B.4, C.13, D 
Chapter 12 Chapter 3 
Week 2: 8/289/1 
CH4: Properties of groups CH5: Subgroups 
CH4: A.4, B.5, C.5, D.4, E.1, F.2, F.5 CH5: A.3, A.4, B.4, C.3, D.3 
Chapter 4 Chapter 5 
Week 3: 9/49/8 
CH5: Subgroups CH6: Functions 
CH4: G.1, G.2, G.3 CH5: D.3, E.5, E.6, F.2, F.4 CH6: B.5, C.5, D.5 
Chapter 6 Chapter 7 
Week 4: 9/119/15 
CH7: Groups of permutations CH8: Permutation of finite set 
CH6: G.1, G.2, G.3 CH7: A.3, B.1, C.3, E.14, H.3, H.4 
Quiz 1 Solution (by C.Liu et al.) 
Week 5: 9/189/22 
CH8: Permutation of finite set CH9: Isomorphism 
CH7: F.1, F.2 CH8: A.1.(c), A.2.(b), A.3.(c), A.4.(d), C.1.(c), C.2, C.3, E.1, E.2 

Week 6: 9/259/29 
CH10: Order of group elements
CH11: Cyclic groups 
CH8: F.2, F.3, G.4
CH9: C.2, C.3, C.6, D.2, E.2, E.4, E.6, G.3, H.3 Due 10/4 

Week 7: 10/210/6 
CH11: Cyclic groups CH12: Partitions and equivalence relations 
CH10: B.2, B.5, C.6, D.1, D.2, D.3, D.5
CH11: A.2, A.3, B.3, B.4, E.2, E.3, E.4 Due 10/11 

Week 8: 10/910/13 
CH13: Counting cosets Midterm on Friday 
CH12: B.3,B.4,D.1,D.2 Due 10/18 Midterm review homework problems 
Midterm Solution 1 , Solution 2 (by C.Liu) 10/910/10: October Break 
Week 9: 10/1610/20 
CH14: Homomorphisms CH15: Quotient groups 
CH13: A.2, B.5, C.1, C.3, D.3, E.1, E.5, E.6 CH14: A.3, A.4, A.5, B.5 Due 10/25 
Chapter 15 
Week 10: 10/2310/27 
CH15: Quotient groups CH16: Fundamental Homomorphism Theorems 
CH14: C.2, D.3, D.5 CH15: A.1, A.3, A.4, A.5, B.3, C.3, C.7 CH16: A.3, A.5 (due on Nov 1) 
Chapter 16 
Week 11: 10/3011/3 
CH17: Rings: Definitions and properties CH18: Ideals and Homomorphisms 
CH16: B.13, E.13, H.17 CH17: A.2, A.6, C.13 (due on Nov 8) 

Week 12: 11/611/10 
CH 19: Quotien Rings CH 20: Integral domains 
CH17: E.15 CH18: A.3, B.1, B.5, D.3, D.4, G.2, G.5, H.2 (due on Nov 15) 
Quiz 2 on Friday Quiz 2 Solution (by C.Liu) 
Week 13: 11/1311/17 
CH 2122: Integers 
CH19: B.2, B.4, F.14 CH20: A.3, A.6, B.1, B.3, E.4, F.23 CH21: C.5,C.6 CH22: F.12, F.4, G.2, G.4 (Due on Nov 29) 

Week 14: 11/2011/24 
Ch 23: Solving linear Diophantine equation 
CH23: A.1 (a)(e), A.4 (a)(f), D.4 
11/2211/25: Thanksgiving Vacation 
Week 15: 11/2712/1 
CH 2425: Rings of polynomials 
CH24: A.1, A.2, A.3, A.4, A.7 
Quiz 3 on Friday 
Week 16: 12/412/8 
Review  Final exam review problems  Final exam answers 