The complete course syllabus is
here.
Lecture room and meeting times: 254 Votey, Tuesday
and Thursday, 12:30 pm to 1:45 pm
Instructor: Peter Dodds
Office: 203 Lord House, 16 Colchester Avenue
Office hours: Tuesdays 11:00 am to 12:00 pm &
2:00 pm to 3:00 pm, Wednesday 10:00 am to 11:00 am
Textbook: "Introduction to Linear Algebra" (5th
edition) by Johnson, Riess and Arnold.
Homework:
Homework does not count directly towards the final grade
but
doing the assigned problems should improve your final grade
(really).
8/29/2006— (Grouped questions are similar)
Section 1.1: (1, 3, 5), (11, 13), 15, 17, 21, (33, 35), 38,
42.
Section 1.2: (1, 7, 9), (11, 13, 15, 17, 19, 21), (23, 25,
27, 29), 37, 43, 45.
8/31/2006—
Section 1.3: 1—17 (odd numbers)
9/5/2006—
Section 1.3: (19, 21), 23, 25, 29 (you will want to use
Matlab to carry out row reduction for this one), 33.
Section 1.4: 3, 7.
9/7/2006—
Section 1.5: (1, 3, 5), (7, 9, 11), (13, 19), (21, 23),
(25, 27, 29), (31, 33, 35, 37, 39), (41, 43), 51.
9/12/2006—
Section 1.5: 53, 55, 59, 61 (for part i only), 65a, 65c.
Section 1.6: (1, 3, 5), (7, 9, 11), (13, 15, 17).
9/14/2006—
Section 1.6: (19, 21, 23, 25), 27 (harder), 29, 33 (35,
37), 41a, 42, 47, 48 (harder, at least read through), 49a,
50, (53, 55), (57, 59), 62a (done in class, try it
yourself).
9/19/2006—
Section 1.7: (1, 3, 5, 7, 11, 13), 15 (do for questions 1,
3,..., 13), (16, 17, 19, 21, 22), (41, 43, 45), trickier
ones: 49, 51, 53, 55.
Section 1.9: (1, 3), 5, (9, 11), (13, 15, 17, 19).
10/03/2006—
Section 3.1: (1,3,5,7,9,11), (13,15,17), (19,21), (23,25),
(27,29).
Section 3.2: (1,3,5,7), (9,11,13,15,17), (18,19,20),
(21,23,25), 27, 29, (31,33).
10/05/2006—
Section 3.3: (1, 3, 5, 7, 9, 11), (13, 15, 17, 19),
21a/b/c, (23, 25), (27, 29, 31, 33), 39, 45, 47, proof type
questions: (50, 51, 52).
10/12/2006—
Section 3.4: (1, 3, 5, 7), 9a, 12, 18, 23, 25a, 26a, 27,
28, (33, 35), 36.
Section 3.5: (1, 3, 5), (7, 9), (11, 13), (15, 17), (21,
23, 25), 27a, 28, 29 (a good one), 33, 37, 39.
10/17/2006—
Section 3.6: 3, 5, 9, (13, 15).
10/19/2006—
Section 3.8: 1, 3, 7.
Section 3.9: (1, 5, 9). For Q1 and Q9, find a basis for the
subspace W and form a matrix A from its columns. Then find
a least squares solution to Ax = v.
11/02/2006—
Section 4.1: (1, 3, 5, 7, 9, 11), 17, 19.
11/07/2006—
Section 4.2: (1, 2, 3, 4, 5, 6), 7, (9, 11, 13, 15, 17, 18,
19), 21, 25 (use theorem 2, p 287), (27, 29), optional: 31,
32.
Section 4.4: (1, 3, 5, 7, 9, 11, 13), (proofs: 15, 16, 17).
11/09/2006—
Section 4.3: (1, 3, 5), (7, 9, 11), (13, 15, 17), (19, 21),
23, 27, (proof: 28).
Sections 6.2, 6.3: Bonus questions for calculating
determinants using the cofactor formula and sneaky row
operation methods; proceed with these if you want more. I
can't blame you—this stuff is delicious.
Sections 6.4: (Cramer's Rule—useful for theory, hopeless
for computation) (15, 17); try also 27 and 29.
11/16/2006—
As always, do at least a couple of each bracketed set.
Section 4.5: (1, 3, 5, 7, 9, 11), (13, 15, 17), 18, 20
(tricky), 21, 22, 27 (important), 28 (a good proof one).
Section 4.7: (1, 3, 5, 7, 9, 11), (13, 15, 17), 19, 25,
(done in class), 27, 29, 30, 31, 43.
Section 4.8: 2, 8 (use diagonalization).
Also look at the supplementary and conceptural exercises at
the end of chapter 4.