Syllabus
MTH 310.003 Abstract Algebra I Fall 2018

Schedule

Course Page: http://www.math.msu.edu/~magyar/math310 .

The dates below are tentative. Changes will be announced in class and on our course page.

Section numbers refer to Hungerford, Abstract Agebra: An Introduction (3rd ed). We will cover Ch 1−6. Homework will be assigned daily on the course page.

 Q   Date  Section: Topic



18/29 Ch 1.1: Division & Euclidean algorithms
28/31 Ch 1.2: Divisibility

9/3 Labor Day, no class
39/5 Ch 1.3: Primes & unique factorization
Last day to change sections online
49/7

59/10 Ch 2.1: Congruence and congruence classes
69/12 Ch 2.2: Modular arithmetic
79/14

89/17 Ch 2.3: Structure of Zp and Zn
99/19
109/21 Ch 3.1: Rings, definition and examples

119/24 Ch 3.2: Basic properties of rings
Last day to drop course with tuition refund
129/26 Ch 3.3: Isomorphisms and homomorphisms
139/28

1410/1 Ch 4.1: Polynomial arithmetic & division algorithm
1510/3 Ch 4.2: Divisibility in F[x]
1610/5 Ch 4.3: Irreducibles and unique factorization

1710/8 Ch 4.4: Polynomial functions, roots, reducibility
1810/10 Review
1910/12 Review

10/15 Midterm exam in class
2010/17 Ch 4.6: Irreducibility in R[x] and C[x]
Last day to drop course with no grade reported
2110/19 Fundamental Theorem of Algebra

2210/22
2310/24 Ch 5.1: Congruence in F[x] and congruence classes
2410/26

2510/29 Ch 5.2: Congruence-class arithmetic
2610/31
2711/2 Ch 5.3: Structure of F[x]/(p(x)) for irreducible p(x)

2811/5
2911/7 Ch 6.1: Ideals and congruence
3011/9

3111/12 Ch 6.2: Quotient rings and homomorphisms
3211/14
3311/16 Ch 6.3: Structure of R/I for I prime or maximal

3411/19
3511/21 Special topic
11/23 Thanksgiving Break, no class

3611/26 Special topic
3711/28 Special topic
3811/30 Special topic

3912/3 Review
4012/5 Review
4112/7 Review

12/11 Final exam Tue Dec 11, 2018 at 3:00pm−5:00pm in Wells A-216 (lecture room)