##
MATH 421
Student Information Sheet
Spring 2004

**ALGEBRA II (3):**
Homomorphisms and factor groups;
commutative rings,
with emphasis on polynomial rings;
fields and algebraic extensions.
Applications to classical geometric problems.
**TEXT:**
**Abstract Algebra**,
*2nd Ed.,*
by Beachy and Blair

**INSTRUCTOR:**
John Beachy, Watson 355, Phone 753-6753
Office Hours: MWF 10:00 - 11:00

**COURSE OBJECTIVES:**
The student is expected to continue learning the basic
results on groups, rings, and fields. The concepts of homomorphism and
quotient structure (using an appropriate equivalence relation) are of
particular importance. The course will end with a proof of the
impossibility of certain geometric constructions.

**GRADING:**
Grades will be assigned on the basis of 600 points,
with 2 hour exams worth 100 points each,
homework and quizzes worth a total of 200 points,
and the final exam worth 200 points.
The last day for undergraduates to withdraw is
Friday, March 5.

**SYLLABUS:**
Sections 3.4-3.8, 4.1-4.4, 5.1-5.3, 6.1-6.3

**Tentative lecture schedule**
Monday Wednesday Friday M Tu W Th F
3.1,3.2 3.3 3.3 JAN 12 13 14 15 16
Holiday 3.4 3.4 19 20 21 22 23
3.5 3.5 3.6 26 27 28 29 30
3.6 3.6 3.7 FEB 2 3 4 5 6
3.7 3.7 3.8 9 10 11 12 13
3.8 3.8 4.1 16 17 18 19 20
4.1 EXAM 1 4.2 23 24 25 26 27
4.2 4.3 4.3 MAR 1 2 3 4 5
SPRING BREAK 8 9 10 11 12
4.4 4.4 4.4 15 16 17 18 19
5.1 5.1 5.1 22 23 24 25 26
5.2 5.2 5.2 29 30 31 1 2
5.3 5.3 5.3 APR 5 6 7 8 9
6.1 EXAM 2 6.1 12 13 14 15 16
6.1 6.2 6.2 19 20 21 22 23
6.2 6.3 Reading Day 26 27 28 29 30
FINAL EXAM Wednesday, 8-9:50 AM MAY 3 4 5 6 7

**COURSE HOMEPAGE:**
`www.math.niu.edu/~beachy/courses/421/`