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/