Text: Elements of Modern Algebra, 6th edition by Gilbert
& Gilbert.
Attendance at each class is expected.
The following calendar gives a timetable for the course. You
should work out all of the problems given below.
Week 
Events 
Sections 
Problems 
Jan 19 
Classes start: Wed Jan 21 
2.3 Divisibility 
39 odd, 17, 2024 
Jan 26 

2.4 Primes, GCDs 2.5 Congruences 
2abc, 3cdk, 7, 26, 27 115 odd 
Feb 2 

2.6 Congruence classes 1.6 Matrices 
1abcd, 2ab, 3abd, 4abc, 5abg, 6ac, 8ac, 16, 2223 3, 8, 912, 14, 16, 25, 26 
Feb 9


1.4 Binary operations 3.1 Groups 
1abcd, 2abcde, 36, 9, 10 17, 1113, 21, 23, 25, 28, 29, 33, 4244, 48, 49, 52 
Feb 16 
No Mon classes, Mon classes meet Wed. Test # 1: Tuesday 
3.2 Subgroups 3.3 Cyclic groups 
2, 3, 59, 1214, 17, 18a, 35 
Feb 23


3.4 Isomorphisms 3.5 Homomorphisms 
14, 7, 10, 13, 16, 23 1, 2, 3, 7, 11, 1214 
Mar 2


4.1 Permutation groups 4.4 Normal subgroups 
110abc 58, 32, 41, 42, 45, 46, 48 
Mar 9

Test # 2: Thursday 
4.5 Quotient groups 4.6 Direct sums 
3, 4, 11, 19, 30 6, 8, 912, 16 
Mar 16 
Spring Break 
Spring Break 
Spring Break 
Mar 23

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 30


6.1 Ideals and quotient rings 6.2 Ring homomorphisms 
3, 510, 1315, 23 1, 2, 4, 6, 15, 17 
Apr 6


6.3 Characteristic 6.4 Maximal ideals 
13, 8, 9, 10, 13 1, 5, 911, 13, 19, 2123 
Apr 13

Test #3: Tuesday 
8.1 Polynomials over a ring 8.2 Polynomial Divisibility 
3, 5, 6, 7, 8, 9, 11 14, 21 
Apr 20


8.3 Factorization in F[x] 8.6 Algebraic extensions 
1, 2, 4, 6 2ab, 3, 5, 10, 11ab 
Apr 27 
Last day :Apr 29 

