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MATH 421/521

Fall 2008

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Student Information Sheet

**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**,
*3rd Ed.,*
by Beachy and Blair

**INSTRUCTOR:**
John Beachy, Watson 355, Phone 753-6753
Office Hours: TBA

**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 3 hour exams worth 100 points each,
homework worth a total of 100 points,
and the final exam worth 200 points.

**SYLLABUS:**
Sections 4.1-4.4, 3.6-3.8, 5.1-5.4, 6.1-6.3

Monday Wednesday Friday M Tu W Th F
4.1 4.2 AUG 25 26 27 28 29
Holiday 4.3 SEP 1 2 3 4 5
4.3 4.4 8 9 10 11 12
3.6 EXAM 1 15 16 17 18 19
3.6 3.7 22 23 24 25 26
3.7 3.7 29 30 1 2 3
3.8 3.8 OCT 6 7 8 9 10
3.8 EXAM 2 13 14 15 16 17
5.1 5.1 20 21 22 23 24
5.2 5.2 27 28 29 30 31
5.3 5.3 NOV 3 4 5 6 7
5.4 EXAM 3 10 11 12 13 14
6.1 6.1 17 18 19 20 21
6.2 Holiday 24 25 26 27 28
6.2 6.3 DEC 1 2 3 4 5
FINAL 8 9 10 11 12

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