MTH 310.003 | Abstract Algebra I | Fall 2018 |
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
1 | 8/29 |
Ch 1.1: Division & Euclidean algorithms
| 2 | 8/31 |
Ch 1.2: Divisibility
| 9/3 |
Labor Day, no class
| 3 | 9/5 |
Ch 1.3: Primes & unique factorization
| Last day to change sections online 4 | 9/7 |
| 5 | 9/10 |
Ch 2.1: Congruence and congruence classes
| 6 | 9/12 |
Ch 2.2: Modular arithmetic
| 7 | 9/14 |
| 8 | 9/17 |
Ch 2.3: Structure of Zp and Zn
| 9 | 9/19 |
| 10 | 9/21 |
Ch 3.1: Rings, definition and examples
| 11 | 9/24 |
Ch 3.2: Basic properties of rings
| Last day to drop course with tuition refund 12 | 9/26 |
Ch 3.3: Isomorphisms and homomorphisms
| 13 | 9/28 |
| 14 | 10/1 |
Ch 4.1: Polynomial arithmetic & division algorithm
| 15 | 10/3 |
Ch 4.2: Divisibility in F[x]
| 16 | 10/5 |
Ch 4.3: Irreducibles and unique factorization
| 17 | 10/8 |
Ch 4.4: Polynomial functions, roots, reducibility
| 18 | 10/10 |
Review
| 19 | 10/12 |
Review
| 10/15 |
Midterm exam in class
| 20 | 10/17 |
Ch 4.6: Irreducibility in R[x] and C[x]
| Last day to drop course with no grade reported 21 | 10/19 |
Fundamental Theorem of Algebra
| 22 | 10/22 |
| 23 | 10/24 |
Ch 5.1: Congruence in F[x] and congruence classes
| 24 | 10/26 |
| 25 | 10/29 |
Ch 5.2: Congruence-class arithmetic
| 26 | 10/31 |
| 27 | 11/2 |
Ch 5.3: Structure of F[x]/(p(x)) for irreducible p(x)
| 28 | 11/5 |
| 29 | 11/7 |
Ch 6.1: Ideals and congruence
| 30 | 11/9 |
| 31 | 11/12 |
Ch 6.2: Quotient rings and homomorphisms
| 32 | 11/14 |
| 33 | 11/16 |
Ch 6.3: Structure of R/I for I prime or maximal
| 34 | 11/19 |
| 35 | 11/21 |
Special topic
| 11/23 |
Thanksgiving Break, no class
| 36 | 11/26 |
Special topic
| 37 | 11/28 |
Special topic
| 38 | 11/30 |
Special topic
| 39 | 12/3 |
Review
| 40 | 12/5 |
Review
| 41 | 12/7 |
Review
| 12/11 | Final exam Tue Dec 11, 2018 at 3:00pm−5:00pm in Wells A-216 (lecture room)
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