## Math 366: Introduction to abstract algebra (Spring 2010)

Here is the syllabus for our course. It contains most of the usual information you'd expect on a webpage (logistics, grading info, etc.).

HOMEWORK

HW 1 (due Wed., 1/27): Ch. 0/1,2,3,4,15,22,33,43,44. Challenge (total of 1 extra point out of 10 for the assignment): 20,21.

HW 2 (due Wed., 2/3): Ch. 0/54, Ch. 1/2,3,21,22, Ch. 2/1,3,5.

HW 3 (due Wed., 2/10): Ch. 2/2,4,8 (not the last part, about U(8)),10,20,25,36,39.

HW 4 (due Wed., 2/17): Ch. 3/1 (just Z12, U(10)), 3, 6, 11, 12, 18, 23, 28 (why?), 31, 36. Challenge (1 extra point): 38.

HW 5 (due Wed., 2/24): Ch. 4/8, 9, 14, 16, 32, 51; Ch. 5/2, 4, 17, 18.

HW 6 (due Wed., 3/10): Ch. 6/1, 3, 6, 39; Ch.7/3, 4, 5, 7, 14, 15, 31, 39.

HW 7 (due Wed., 3/31): Ch. 12/2, 27, 28, 42, 46; Ch. 13/4 (list units and zero divisors), 6, 13, 16, 37.

HW 8 (due Wed., 4/7): Ch. 14/6, 14, 17, 27 (notice 17); Ch. 15/5, 19, 20; Ch. 16/1, 3, 6, 11.

HW 9 (due Wed., 4/14): Ch. 16/13, 17 (only the second part), 21; Ch. 17/7, 8.

HW 10 (due Wed., 4/21): Ch. 17/12; Ch. 19/5,8; Ch. 20/3 (cyclic roots of unity!), 5.

HW 11 (due Wed. 4/28): Ch. 20/8,9; Ch. 21/17; Ch. 22/1,3,14.

HW 12 (OPTIONAL!!) (due with your final exam): Choose any two problems from 31/1,2,3,7. In addition, there are two questions in 31/10 -- you can do one or two of those for an extra one or two points. All told, you can earn at most four extra points for your homework score with these problems.

Exam 1 review sheet.

Exam 2 review sheet.