Math 351, Summer 2015


Lectures: MW 6:00-8:30 PM, May 27th - August 12th
Location: Hill 423 Busch
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Instructor: Bud Coulson

Email: bud at math.rutgers.edu
Office Hours: TBD, Hill 521 Busch Campus

Textbook: Thomas W. Hungerford , Abstract Algebra: An Introduction (Third Edition), Brooks/Cole, Centage Learning, 2014. (ISBN-13 978-1-111-56962-4)


General Course Information [An information page by math department on textbooks, syllabus, review materials etc.]

Academic Integrity Policy


Attendance Policy


Quizzes


Homework


Workshops


Exams and Grading


Course Plan

Lecture
Section(s)
Topics
Homework Problems
Wednesday, May 27th
1.1-1.3 Arithmetic in the Integers
1.2:  3, 7, 9, 13, 28
1.3:  5, 7, 14, 21, 27
Monday, June 1st
2.1-2.3 Congruence in the Integers
2.1: 7, 15, 21
2.2: 3, 7, 9, 13
2.3: 3, 5, 9, 11, 16
Workshop 1
Wednesday, June 3rd
7.1-7.3 Introduction to Groups
7.1: 14, 16, 17, 33
7.2: 15, 23, 31, 37
7.3: 3, 7, 11, 19
Monday, June 8th
7.4-7.5 Homomorphisms, The Symmetric Group
7.4: 1, 6, 23, 33, 40
7.5: 1, 3, 18
Workshop 2
Wednesday, June 10th
7.5-8.1 Congruence in Groups
7.5: 21, 24
8.1: 11, 19, 25, 44ab
Monday, June 15th
8.1-8.3 Normal Subgroups and Quotient Groups
7.1: 16
8.1: 43
8.2: 4, 14, 15, 23
8.3: 11, 14, 25, 33
Workshop 3
Monday, June 15th
8.3-8.4 Quotients and Homomorphisms
8.3: 8, 27
8.4: 2, 7, 18, 21, 26, 31, 40
Wednesday, June 17th
8.3-8.4 Quotients and Homomorphisms
None
Monday, June 22nd
8.5, 9.1 Simple Groups, Direct Products
None
Wednesday, June 24th
EXAM EXAM
EXAM
Monday, June 29th
9.2, 3.1 Abelian Groups, Rings
9.1: 4, 6, 13, 27
9.2: 3ef, 8, 12, 16
3.1: 1, 11, 18, 33, 38
Workshop 4
Wednesday, July 1st
3.2, 3.3 Ring Properties, Homomorphisms
3.2: 3, 15, 25, 31, 41
3.3: 9, 11, 15, 30, 37
Monday, July 6th
4.1, 4.2 Rings of Polynomials
4.1: 3, 6, 7, 8, 10, 11
4.2: 3, 5aceg, 6aceg
Workshop 5
Wednesday, July 8th
4.3, 4.4, 4.6 Irreducible Polynomials
4.3: 2, 4, 11, 13
4.4: 2, 5, 10, 19, 24
4.6: 6, 7, 8
Monday, July 13th
4.5, 5.1 Irreducible Polynomials over the Rationals, Congruence of Polynomials
4.5: 11, 12, 16, 18
5.1: 6, 7, 12
Workshop 6
Wednesday, July 15th
5.2, 5.3, 6.1, 6.2 Congurence, Quotients, and Homomorphisms for Rings
5.2: 6, 8, 11, 16
5.3: 2, 7, 8, 10
6.1: 6, 20, 24, 39, 40
6.2: 2, 16, 21, 24
Monday, July 20th
6.3 Prime and Maximal Ideals
6.3: 5, 8, 13, 15, 19
Wednesday, July 22nd
REVIEW REVIEW
REVIEW
Monday, July 27th
EXAM EXAM
EXAM
Wednesday, July 30th
11.1, 11.2 Vector Spaces, Simple Extensions
11.1: 18, 19, 21, 23, 28, 35
11.2: 1, 5, 10, 15, 18
Workshop 7
Monday, August 3rd
11.2, 11.3, 11.4 Algebraic Extensions, Splitting Fields
11.2: 17, 20
11.3: 7, 8, 9, 16
11.4: 
Wednesday, August 6th
11.4, 11.5 Normality and Seperablility
11.4: 2, 8, 10, 13
11.5: 4, 5, 7, 8, 9