Text: Elements of
Modern
Algebra, 6th edition by Gilbert & Gilbert.
The following
calendar
gives a timetable for the course. You should work out all of the
problems given
below.
Attendance at
each class is
expected.
Week 
Events 
Sections 
Problems 
Jan 21 
Classes start Wed Jan 23 
1.5 Permutations and inverses 1.7 Relations 
(12)abcdefgk, 3, 610 1, 2abcd, 3, 4, 10, 23 
Jan 28


2.2 Induction 
110 odd, 2729 
Feb 4


2.5 Congruences 2.6 Congruence classes 
115 odd 1abcd, 2ab, 3abd, 4abc, 5abg, 6ac, 8ac, 16, 2223 
Feb 11


1.6
Matrices 1.4 Binary operations 3.1 Group 
1ad, 3,
8, 912, 14, 16, 25, 26 1abcd, 2abcde, 36, 9, 10 17, 1113, 21, 23, 25, 28, 29, 33, 4244, 48, 49, 51 
Feb 18 

3.2 Subgroups 3.3 Cyclic groups 
2,
3,
59, 12, 17, 18ac, 35 5, 7ab, 8ab, 9ac, 10ac, 1415, 1921, 2324 
Feb 25


3.4 Isomorphisms 3.5 Homomorphisms 
14, 7, 10, 13, 23 1, 2, 3, 7, 11, 1214, 17 
Mar 3


4.1 Permutation groups 
110 abc 36,32,41,42,46 
Mar 10


4.5 Quotient groups 4.6 Direct sums 
3, 4, 19, 30 912 
Mar 17 
Spring Break 
Spring Break 
Spring Break 
Mar 24

Last day to drop: Mar 24

5.1 Rings 5.2 Integral domains and fields 
1, 2, 7, 8, 10, 14ac, 15, 20, 21, 24, 31, 38 
Mar 31


6.2 Ring homomorphisms 6.3 Characteristic 
1, 2, 4, 6, 15, 17 13, 8, 9, 13 
Apr 7


6.4 Maximal ideals 8.1 Polynomials over a ring 
13, 5, 910, 17, 2123 3, 5, 6, 13, 14 
Apr 14


8.2 Polynomial Divisibility 
14, 21 1, 2, 4, 6 
Apr 21


8.6 Algebraic extensions 
2ab, 3, 5, 10, 11ab 
Apr 28 
Last day :Apr 29 