MATH 402-01: Modern Algebra II

Spring 2020




Lectures
MWF  09:40 - 10:40  CW 209
T        8:30 - 9:55  CW 209
Instructor
Dr. Hung P. Tong-Viet
Office
WH 108
Phone
(607) 777 - 2380
Email
htongvie (at) binghamton.edu
Office Hours
Mondays, Fridays: 11:00 - 12:30 pm
Tuesdays:     4:15  -  5:15 pm and by appointment




Course Information



Exams

Grading  Scheme

Exam 1
100  points
Exam 2
100   points
Exam 3
100  points
Homework/presentations
100  points
Quizzes
50   points
Final Exam
150  points
Total
600  points


Date
Announcements
Jan. 21
First day of class. Review of group theory. Read Section 15.1 and 15.2
Jan. 22
Review of group theory
Jan. 24
Rings, definitions and examples (15.2).
Jan. 27
Rings, definitions and examples (15.2), cont.
Jan. 28

Jan. 29
Subrings, homomorphisms and Ideals (16.1)
Jan. 31
Subrings, homomorphisms and Ideals (16.1), cont.
Feb. 3
Subrings, homomorphisms and Ideals (16.1), cont.
Feb. 4
Subrings, homomorphisms and Ideals (16.1), cont.
Feb. 5
Quotient rings and homomorphism Theorems (16.2)
Feb. 7
Class Cancelled
Feb. 10
Quiz 1. Quotient rings and homomorphism Theorems (16.2), cont.
Feb 11
Characteristic of a ring (16.3)
Feb. 12
Fields of fractions (17.1)
Feb 14
Factorizations in commutative rings (18.1)
Feb 17
Factorizations in commutative rings (18.1), cont.
Feb 18
Factorizations in commutative rings (18.1), cont.
Feb 19
Factorizations in commutative rings (18.1), cont.
Feb 21
Noetherian rings (18.2)
Feb 24
Noetherian rings (18.2); Review for Exam 1
Feb 25
Exam 1.
Feb 26
A PID is a UFD (18.3)
Feb 28
A PID is a UFD (18.3), cont.
Mar 2
A PID is a UFD (18.3), cont.
Mar 3

Mar 4
Euclidean domain (18.4)
Mar 5-8
Winter break
Mar 9
Plynomial rings (19.1)
Mar 10
Greatest common divisors (18.5)
Mar 11
K[x] is an ED, K a field; Roots of polynomials (19.2, 19.3)
Mar 13
R UFD, R[x] a UFD (19.4)
Mar 16
R[x] a UFD (19.4) cont.
Mar 17

Mar 18
Irrreducibility Creiteria (19.5)
Mar 20

Mar 23

Mar 24

Mar 25

Mar 27

Mar 30

Mar 31
Exam 2
Apr 1

Apr 3

Apr 4-12
Spring break



Homework
Problems to turn in
Deadline
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Last updated: January 15, 2020