Professor Yuriy Drozd

 

MATH 4576 : Rings and Fields – Course Schedule

                                                                                                                        

Spring 2011

 

                        ♦ Class and Quiz schedule

 

 

 

Tuesday

 

Thursday

 

Friday

Jan.11

Review

Jan.13

3.1-3.2 Rings and their properties

p.50: 1,4,5,9,10,12

Jan.14

2.2 Modular Arithmetic

p.29: 2,3,12; p.35: 1,2; p.52:13

Jan.18

3.3 Isomorphism

p.63:5,8,11,14;p.76:3,9,17

Jan.20

3.3 Homomorphism

p.76: 3,8,9,13,23,34

Jan.21

Quiz 1

Jan.25

4.1 Polynomilas

p.88:4,5,10,13,16;p.93:1,4,7

Jan.27

4.2 Divisibility in F[x]

p.93: 3,4,5(acef),6(acef),14

Jan.28

4.3 Unique Factorization

p.98: 6,9,10,22a,23

Feb.1

Review

p.94:15;p.99:15,21,23;p.105:8

Feb.3

Quiz 2

Feb.4

4.5 Irreducibles in Q[x]

p.113: 1,5,6,7,8,13,16

Feb.8

4.6 Irreducibles in C[x] and R[x]

p.117: 1,2,3,4,5,8

Feb.10

Review and applications

Feb.11

Quiz 3

Feb.15

6.1 Ideals and Conruence

p.141:1,3,4,6,12a,15,16,21b,30

Feb.17

6.2 Quotient Rings and Homomorphisms

p.151: 3,4,5,7,8,10,14,21

Feb.18

5.1-5.2 Congruences in F[x]

p.122: 1,3,8,

p.128:1,2,3,7

Feb.22

5.3 Structure of F[x]/(p(x))

 when p(x) is irreducible

p.128:14, p.132: 1,8,9,10,11,13

Feb.24

Review

Feb.25

Quiz 4

Mar.1

Spring break

Mar.3

Spring break

Mar.4

Spring break

Mar.8

9.1 Euclidean domains

p.293:3,4,5,7,8,13,20,21,27

Mar.10

9.3 Factorization in Quadratic Domains

p.305:15, p.315:4,6,7,8,9, Add 1

Mar.11

10.1 Vector spaces

p.337:9,15,16,20,22,23,24,33,37,39

Mar.15

10.2 Simple Field Extensions

p.345: 2,3,5,6,7,8,11,13,17,23

Mar.17

10.3 Algebraic Extensions

p.350: 2,3,5,7,8,9,11,13

Mar.18

Review

Mar.22

Quiz 5

Mar.24

10.4 Splitting Fields

p.357: 2,3,5,7,8,11,12,16,17

Mar.25

10.5 Separability

p.362: 1,2,7,8,9,10,12,13

Mar.29

Quiz 6

Mar.31

10.6 Finite Fields

p.368: 5,10,12,15,17,18,19

Apr.1

Survey on Groups and

 Their Properties

p.377: 4,6,8,9,10

Apr.5

Survey on Groups and

 Their Properties

Apr.7

11.1 Galois Group

p.377: 2,3,5,12,14,16,17, Add 2

Apr.8

11.2 Fundamental Theorem of

 Galois Theory

p.385: 1,2,6,7,8, Add 3

Apr.12

11.3 Solvability by Radicals

p.395: 1,3,17abe; Add 4

Apr.14

11.3 Solvability by Radicals

Apr.15

Course Review

Apr.19

Course Review

Apr.21

Reading day

Apr.22

Final Exam

 

Friday, 04/22/2011, 8:00 AM     ----      MATH 4576 RINGS & FIELDS       ----       FINAL EXAM

 

                        ♦ Course Information

 

                            Course                          Math 4576 – Rings & Fields

                            Instructor                     Yuriy Drozd

                            Course Web Site          www.imath.kiev.ua/~drozd/RingsFields

                            Time and Place            TThF 11:45 – 12:50, 243 Ryder Hall

                            Office                            527 Nightingale Hall

                            Phone                           617-373-5525

                            Email                            y.a.drozd@gmail.com   

                            Office Hours                 TTh 1:00-2:00 or by appointment

                            Textbook                      Abstract Algebra: An Introduction, , by Thomas W. Hungerford, Thomson Brooks/Cole, 2nd Edition, 1996

                            Grade                           60% in-class exams, 40% final exam

 

                       

♦ Class Materials                Quiz 1       Quiz 2       Quiz 3       Quiz 4          Quiz 5          Quiz 6      Quiz 7     Quiz 8

                                      

                                                                                Add 1         Add 2      Add 3     Add 4

                                              

 

Northeastern University                       Office:      527 Nightingale Hall

 

Department of Mathematics                 Phone:      617-373-5525

 

Boston, MA, 02115                            Email:       y.a.drozd@gmail.com