MATH2108, Introduction
to Abstract Algebra
Practice Problems for
FALL 2008
Instructor:
Dr. Brett Stevens
Herzberg Physics, Office #4374
Tel: (613) 520-2600 Ext. 2125
Email:stevens@math.carleton.ca
http://mathstat.math.carleton.ca/~brett/
Problems for Test #1:
- Edition 5 of Book:
- Section 1.2: 1-10;
- Section 1.4: 1-9;
- Section 1.6: 1-8.
- Section 2.2: 3-5, 21-22, 26-27, 36;
- Section 2.3: 2-17, 19-20, 23, 26, 34;
- Section 2.4: 2-3, 5, 7, 9-10;
- Section 2.5: 1-6, 19-21.
- Section 3.1:
1-10 decide if it is a monoid;
11-12: is it monoid?;
15-26: decide if it is a monoid;
13-14 and 27-30: as they are in textbook.
- Section 3.2: 1,2,8,9,10,12,13,15.
- Edition 6 of Book:
- Section 1.2: 1-10;
- Section 1.4: 1-10;
- Section 1.7: 1-10;
- Section 2.2: 3-5, 21-22, 26-27, 39;
- Section 2.3: 3-19, 27-28, 31, 39;
- Section 2.4: 2-3, 7-10;
- Section 2.5: 1-6, 25-27.
- Section 3.1:
1-10 decide if it is a monoid;
11-12: is it monoid?;
15-26: decide if it is a monoid;
13-14 and 27-30: as they are in textbook.
- Section 3.2: 1,2,8,9,10,12,13,15.
- Practice Automata
Problems for Test #2:
- Edition 5 of Book:
- Section 3.1: 1-31, 38-49, 54-55;
- Section 3.2: 1-5, 8-12, 17-19, 21, 24-25, 28-34;
- Section 3.3: 1-4, 7,9,10.
- Edition 6 of Book:
- Section 3.1: 1-30, 40-51, 57-59;
- Section 3.2: 1-5, 8-12, 17-19, 21, 24-25, 28-34;
- Section 3.3: 1-4, 7,9,10.
Problems for Test #3 :
- Edition 5 of Book:
- Section 3.1: 1-31, 38-49, 54-55;
- Section 3.2: 1-5, 8-12, 17-19, 21, 24-25, 28-34;
- Section 3.3: 1-4, 7-11, 19-21, 24, 26, 29.
- Section 3.4: 1-4, 6, 10-11, 13-14, 16, 19, 21-27, 29.
- Section 3.5: 1-5, 9, 11-13, 15.
- Section 4.1: 1-11, 13, 15.
- Edition 6 of book:
- Section 3.1: 1-30, 40-51, 57-50;
- Section 3.2: 1-5, 8-12, 17-19, 21, 24-25, 28-34;
- Section 3.3: 1-4, 7-11, 19-21, 24, 26, 29.
- Section 3.4: 1-4, 6, 10-11, 13-14, 16, 19, 21-27, 29.
- Section 3.5: 1-7, 11, 13-15, 17.
- Section 4.1: 1-13, 15, 17.
Problems for Test #4:
- Edition 5 of Book:
- Section 2.8: 1-25;
- Section 4.4: 1-3, 6-8, 10,11, 13-16, 22, 33, 34, 38, 39, 43, 45.
- Section 4.5: 1-4, 9-11, 13-17, 22;
- Edition 6 of book:
- Section 2.8: 1-25;
- Section 4.4: 1-3, 6-8, 10,11, 13-16, 22, 33, 34, 38, 39, 43, 45.
- Section 4.5: 1-4, 9-11, 16-20, 25;