MA 453: Elements of Algebra I
12:30- 1:20 PM, M/W/F, UNIV 217

Instructor Office Office hour Email
Dr. Chi Li MATH 734 9am-noon Tuesday, or by appointment

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 Make-ups. Check Syllabus for the schedule.

Homework Quizzes Midterms Final Total
24=2*12 6=3+3 25 45 100

Syllabus (updating)





Week 1: 8/21-8/25

CH2: Operations

CH3: Definition of groups

CH2: B.2,B.5 C.2

CH3: A.3, B.1, B.4, C.1-3, D

Chapter 1-2   Chapter 3

HW1 solution (by Y.Chen/S.Ma)

Week 2: 8/28-9/1

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

HW2 solution (by Z.Wang)

Week 3: 9/4-9/8

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

HW3 solution (by Y.Chen et al)

Week 4: 9/11-9/15

CH7: Groups of permutations

CH8: Permutation of finite set

CH6: G.1, G.2, G.3

CH7: A.3, B.1, C.3, E.1-4, H.3, H.4

Quiz 1 Solution (by C.Liu et al.)

HW4 solution (by Z.Xu et al)

Chapter 8  

Week 5: 9/18-9/22

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

Chapter 9  

HW5 solution (by Hoffman)

Week 6: 9/25-9/29

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

Chapter 10  

HW6 solution (by W.He and T.Wang)

Week 7: 10/2-10/6

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

Chapter 11  

Chapter 12

HW7 solution (by W.He and C.Liu)

Week 8: 10/9-10/13

CH13: Counting cosets

Midterm on Friday

CH12: B.3,B.4,D.1,D.2 Due 10/18

Midterm review homework problems

Chapter 13

Midterm Solution 1 ,   Solution 2 (by C.Liu)

Mid Exam distribution

HW8 solution (by Y.Chen et al.)

10/9-10/10: October Break

Week 9: 10/16-10/20

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 14

Chapter 15

HW9 solution (by L.Zhang)

Week 10: 10/23-10/27

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

HW10 solution by (Manion/Chen)

Week 11: 10/30-11/3

CH17: Rings: Definitions and properties

CH18: Ideals and Homomorphisms

CH16: B.1-3, E.1-3, H.1-7

CH17: A.2, A.6, C.1-3

(due on Nov 8)

Chapter 17

Chapter 18

HW11 solution by (Chen/Rice)

Week 12: 11/6-11/10

CH 19: Quotien Rings

CH 20: Integral domains

CH17: E.1-5

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)

Chapter 19   Chapter 20

HW12 solution by (Chen/He)

Week 13: 11/13-11/17

CH 21-22: Integers

CH19: B.2, B.4, F.1-4

CH20: A.3, A.6, B.1, B.3, E.4, F.2-3

CH21: C.5,C.6

CH22: F.1-2, F.4, G.2, G.4

(Due on Nov 29)

Chapter 21-22

Chapter 23

HW13 solution by (Y.Zhang)

Week 14: 11/20-11/24

Ch 23: Solving linear Diophantine equation

CH23: A.1 (a)-(e), A.4 (a)-(f), D.4

11/22-11/25: Thanksgiving Vacation

Week 15: 11/27-12/1

CH 24-25: Rings of polynomials

CH24: A.1, A.2, A.3, A.4, A.7

Chapter 24

Quiz 3 on Friday

Week 16: 12/4-12/8

Review Final exam review problems Final exam answers

Weighted total distribution