Instructor: Dr. D. Haskell, HH316, ext.27244
Course meeting time: TRF 8:30 - 9:20
E-mail: haskell@math.mcmaster.ca
Office hours: M 13:00-14:30, F 9:30-11:00
Course requirements, in brief (consult the course
information sheet for more detailed information).
Homework: 18%
Attendance: 2%
Midterm I: 15%
Midterm II: 15%
Final: 50%
ANNOUNCEMENTS
14
December 2006 A
practice exam for the final (Mon, Dec 11, 9:00-12:00) is available here.
The review session will be on Thursday, Dec 7, 13:00-14:30 in BSB 104.
Come prepared! - this is a time for you to ask questions. I will also
hold office hours on Monday Dec 4 13:00-14:30 and Wednesday Dec 6
13:00-14:30. I will be unable to hold office hours on Friday Dec 8.
Solutions to Homework 6 are posted below.
17
November 2006 Office hours on Monday Nov 21 are
cancelled, as I will be out of town.
9
November 2006 Midterm II is on
Thursday, Nov. 16. It will cover Sections 2.4 through 2.6. as well as
equivalence relations. The structure of the test will be very similar
to that of Midterm I, but somewhat shorter. Note that solutions to
Homeworks 3 and 4 are now posted.
17
October
2006 I will hold extra office hours
(in preparation for the midterm) Wednesday, Oct 18, 13:00-14:30.
15
October
2006 Solutions for Homework 2 are
now posted. Note that there is a mistake in 2.35, in the calculation of
the sign of the permutation. The puzzle cannot be won.
12
October
2006 Midterm I is on
Thursday, Oct 19. It will include everything in the course so far up to
the end of Section 2.4. For your reference, I have posted
here a copy of the first midterm I gave in Math 3E03 two years ago.
12
October
2006 Due to meetings that I
unfortunately have to attend, office hours on Friday, 13 October will
end at 10:30, and on Monday, Oct 16, 23, 30, will begin at 13:30 and
continue until 14:45.
6
October
2006 Assignment 2 may be resubmitted. Please
hand it to me in my office by Thursday, October 12, 9:30 am.
2
October 2006 The midterm dates
announced on the course outline are not correct. The dates given in the
calendar below are (currently) correct. The first midterm will be on
Thursday, October 19. Assignment
Assignment dates and midterm
dates are still tentative. Actual test dates and assignment due dates
will be announced in class and posted on this website at least one week
in advance.
Homework 1:
sec 1.1 p15: 1.5, 1.11
sec 1.3 p53: 1.50, 1.54, 1.55(i), 1.56
sec 1.5 p74: 1.78, 1.87, 1.88
Challenge problems: 1.23, 1.67, 1.82
Due Tuesday, 19 September
Homework
1 Solutions
Homework 2:
sec 2.1 p105: 2.11, 2.16
sec 2.2 p123: 2.23, 2.26, 2.31, 2.33, 2.35
sec 2.3 p146: 2.37, 2.38
Challenge problems: 2.20, 2.29
Due Tuesday, 3 October
Homework
2 Solutions
Homework
3:
sec 2.3 p146: 2.40, 2.42, 2.48, 2.51
sec 2.4 p158: 2.53, 2.54, 2.57, 2.60
Challenge problems: 2.46, 2.63
Due Tuesday, 17 October
Homework
3 Solutions
Homework
4:
sec 2.1 p106: 2.18
sec 2.5 p169: 2.68, 2.73, 2.75, 2.80, 2.84, 2.86, 2.87
Challenge problems: 2.92, 2.94
Due Tuesday, 31 October
Homework
4 Solutions
Homework
5:
sec 2.6 p190: 2.96, 2.98, 2.99, 2.102, 2.104, 2.106
Challenge problem: 2.113
Due Tuesday, 14 November
Homework
5 Solutions
Homework 6:
sec 2.7 p206: 2.116, 2.118, 2.121, 2.122, 2.127, 2.134
Challenge problem: 2.131
Due Tuesday, 28 November
Homework
6 Solutions
Planned
course schedule (subject to revision):
BE PREPARED: Read the scheduled sections of the textbook
before the class. Time is allotted on Thursdays for discussion of
the assigned reading and problems.
Dates |
Tuesday | Reading assignment |
Thursday | Friday |
Homework |
Challenge Problems |
| Sept 4-8 |
NO CLASS |
Introduction |
sec 1.3 greatest common divisor | 1.5,1.11 |
1.23 |
|
| Sept 11-15 | sec1.3 greatest common divisor | sections 1.1 and 1.2 |
problems 1.1, 1.28, 1.46 |
sec 1.5 congruences |
1.50,1.54,1.55(i),1.56 1.78,1.87,1.88 |
1.67, 1.82 |
| Sept 18-22 |
HOMEWORK 1 DUE sec 2.1 functions: injective/surjective |
sec 2.1 pp. 84-98 |
problems 1.77, 2.1 |
sec 2.2 permutations |
2.11,2.16,2.23,2.31 |
2.20 |
| Sept 25-29 |
sec 2.2 permutations | p.119 ex 2.36 |
problem 2.21 |
sec 2.3 groups-definition |
2.33,2.35, 2.37,2.38 |
2.29 |
| Oct 2-6 |
HOMEWORK 2 DUE sec 2.3 groups-examples |
pp.133-135 thm 2.49 | problem 2.36 except
vi, vii |
sec 2.3 groups - symmetry |
2.40,2.42,2.48,2.51 |
2.46 |
| Oct 9-13 | sec 2.4 subgroups - definition, examples |
pp.137-146 |
problem 2.52 |
sec 2.4 subgroups - cosets, Lagrange's theorem | 2.53,2.54,2.57,2.60 |
2.63 |
| Oct 16-20 |
HOMEWORK 3 DUE sec 2.1 equivalence relations |
|
MIDTERM I |
sec 2.4 revisited |
2.18 | |
| Oct 23-27 |
sec 2.5 homomorphisms |
p167 quaternions, example 2.98 |
problem 2.64 i-vi |
sec 2.5 normal subgroups |
2.68, 2.73, 2.75, 2.80, 2.84, 2.86, 2.87 | 2.92, 2.94 |
| Oct 30 - Nov 3 |
HOMEWORK 4 DUE sec 2.6 quotient groups |
pp 171-174 |
problem 2.64 vii-x problem 2.95 i-iii |
sec 2.6 quotient groups - examples |
2.96, 2.98, 2.99, 2.102, 2.104, 2.106 | 2.113 |
| Nov 6-10 |
sec 2.6 first homomorphism thm |
pp
174-177 |
problem 2.95 iv-x |
sec 2.6 2nd and 3rd homom thms |
||
| Nov 13-17 |
HOMEWORK 5 DUE sec 2.7 Cayley's theorem |
MIDTERM II |
sec 2.7 group actions |
2.116, 2.118, 2.121, 2.122, 2.127, 2.134 | 2.131 |
|
| Nov 20-24 |
sec 2.7 class eqn and corollaries |
pp 203-206 |
problem 2.114 |
sec 6.1 direct sums |
||
| Nov 27-Dec 1 |
HOMEWORK 6 DUE sec 6.1 primary decomposition |
|
sec 6.1 basis theorem |
conclusions |