MATH 421/521       Student Information Sheet       Fall 2009

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: MWF 11:00 - 11:50

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 500 points, with 2 hour exams worth 100 points each, homework worth a total of 100 points, and the final exam worth 200 points. The last day for undergraduates to withdraw is Friday, October 16.

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

       Tentative lecture schedule
Monday      Wednesday    Friday           M Tu  W Th  F
 3.1,3.2       3.3         3.3       AUG 24 25 26 27 28
 3.4           3.5         3.6       SEP 31  1  2  3  4
Holiday        3.6         3.6            7  8  9 10 11
 3.7           3.7         3.7           14 15 16 17 18
 3.8           3.8         3.8           21 22 23 24 25
 4.1           4.1        EXAM 1         28 29 30  1  2
 4.2           4.2         4.3       OCT  5  6  7  8  9
 4.3           4.4         4.4           12 13 14 15 16
 5.1           5.1         5.1           19 20 21 22 23
 5.2           5.2         5.2           26 27 28 29 30
 5.3           5.3         5.3       NOV  2  3  4  5  6
 5.4           5.4        EXAM 2          9 20 11 12 13
 6.1           6.1         6.1           16 17 18 19 20
 6.2          Holiday     Holiday        23 24 25 26 27
 6.2           6.2         6.3       DEC 30  1  2  3  4
 FINAL EXAM   Monday, 10-11:50 AM         7  8  9 10 11

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

ACADEMIC CONDUCT: Academic honesty and mutual respect (student with student and instructor with student) are expected in this course. Mutual respect means being on time for class and not leaving early, being prepared to give full attention to class work, not reading newspapers or other material in class, not using cell phones or pagers during class time, and not looking at another student's work during exams. Academic misconduct, as defined by the Student Judicial Code, will not be treated lightly.

CAAR STATEMENT: If you have specific physical, psychiatric, or learning disabilities and require accomodations, please let me know early in the semester so that your learning needs may be appropriately met. You will need to provide documentation of your disability to the Center for Access Ability Resources located in the Health Services Building, 4th floor.