Ed Bueler: felb@uaf.edu,
x7693
Class times and room:
MWF 10:30am 11:30am Bunnell 410
Text: Kolman and Hill, Elementary
Linear
Algebra, 8th ed. Pearson 2004
Link to Syllabus
LINKS:

Schedule:
(my PLANNING document, version
5/10/07)
Day

Textbook Section

Topic

Assigned or Due

W
1/17

1.1

Introduction.
Naive linear systems. Some definitions.

A
#1
assigned:
1.1:
3,
5, 6, 9, 11, 15, 16, 19, 27, 28, 32, 33 [FIXED!]
1.2:
5,
7ab, 9, 11, 12, 13, 15

F 1/19

1.2

Matrices.
More definitions and notation.


M
1/22


cont.


W
1/24

1.3

Matrix
multiplication. Matrix form of linear systems;
augmented
matrices. 
A
#1 DUE (updated
due date)
A
#2
assigned:
1.3:
11,
14abef,
16, 17ab, 18, 19, 23, 24, 25, 26, 27, 28, 34, 36, 39,
47, 48
1.4: 1,
2, 5,
6, 7, 8abc, 10, 11, 13, 14, 17, 24, 33, 34

F
1/26

1.4

Inclass Matlab
session: session314_012607.txt
Matrix algebra.


M
1/29


Cont.


W
1/31

1.5

Nonsingular
= invertible.
Linear systems and inverses. 
A
#2 DUE
A
#3
assigned:
1.5:
1,
3, 4, 5, 7, 9, 10, 11, 12, 13, 17, 18, 27, 28, 30, 32,
35, 50, 51, 54
1.6:
1,
2, 4, 7, 8, 9, 10, 16, 19
Page 552: "ML.1"
and
"ML.2" under the heading "Basic Matrix
Properties". "ML.1"
and "ML.2" under the heading "Matrix Operations".

F
2/2

1.6

Examples
in 2 and 3 dimensions of: Matrices
act
on vectors to produce new
vectors.


M
2/5

1.7

Inclass Matlab
session:
session314_020507.txt
Example
of matrix transformation: planar graphics.


W 2/7

2.1

Row echelon form and
reduced row echelon form. Elementary row operations.

A
#3 DUE
A
#4
assigned:
2.1:
1,
2, 3, 4b, 4c, 7a, 7c, 8a, 8b, 9b, 14, 15, 17, 19, 20,
28, 29, 30
2.2:
2,
3, 4, 6, 7, 8, 9ac, 10ad, 11ac, 13, 14, 15, 18ab, 23,
24, 25, 26, 32, 33

F 2/9


Examples.


M 2/12

2.2

Elementary matrices
and finding inverses.
rrefmovie.m


W 2/14


cont


F 2/16


questions/review

A
#4 DUE; selected
solutions distributed in class 
M 2/19

[14
lectures to here]

Midterm
I
(in class)

Will
cover
sections 1.1, 1.2,
1.3, 1.4, 1.5, 1.6, 1.7, 2.1, 2.2. All nonMatlab
homework
questions, and similar questions, are fair game.
No
computers or
calculators allowed. 
W 2/21

3.1 
what makes a vector a
vector?

A #5
assigned:
3.1:
1,
3, 7, 13, 14, 15, 17, 18, 21, 22
3.2:
2,
3, 4, 6, 9, 11, 15, 19
3.3:
2,
3, 7, 9, 11, 12, 13, 19, 20, 24, 27, 29, 30

F 2/23

3.2

vector spaces:
definition, examples, nonexamples


M 2/26

3.3

subspaces


W 2/28


cont.


F 3/2

3.4

span and
linear independence

A
#5 DUE
A
#6
assigned:
3.4:
2ab,
3, 4, 5, 6, 7, 8, 11, 12, 14, 16, 17, 20, 23
3.5:
1,
2ab, 3, 4ab, 5ab, 6, 7, 8, 9, 11, 13, 14, 16, 17, 30,
33, 34, 36, 37,
41, 42

M 3/5


cont.


W 3/7

3.5 
basis
and dimension


F 3/9


cont.

A #6 DUE 
3/123/16


SPRING
BREAK


M 3/19

3.6 
homogeneous
systems 
A
#6 DUE (updated
due date)
A
#7
problems assigned *in class*

W 3/21

3.7

coordinates
and
isomorphisms

A
#7
problems assigned *in class* 
F 3/23


CLASS
CANCELLED 

M 3/26


cont.

A
#7 is this:
3.6:
1,
7, 10, 11, 13, 16, 22, 23
3.7:
2,
3, 6, 9, 10, 14, 21 
W 3/28

3.8

rank

A
#7 DUE (will be assigned in class) 
F 3/30


review for Mid
II; rank cont.


M 4/2

[14
more
lectures
to here] 
Midterm
II (in
class)
CORRECTED Matlab Part
(problem 4 fixed; due date moved to 4/6)

Will
cover
sections 3.1, 3.2, 3.3., 3.4, 3.5, 3.6, 3.7. All
nonMatlab
homework
questions, and similar questions, are fair game.
No
computers or
calculators allowed. You may bring 1/2 sheet of
letter paper with
anything you want on each side. 
W 4/4

4.1 
Matlab part DUE
rank cont.;
length of vectors and inner products in R^{3}
and R^{3}

A
#8
assigned:
3.8:
1,
2, 3, 6, 7, 9a, 10a, 11,12a, 14a, 17a, 20a, 29, 30
4.1: 1,
3, 6, 7, 10, 12,
13 (R^{2} case only), 16, 25, 26, 28
4.3:
8, 10, 11 
F 4/6

4.3

Matlab
part DUE
inner products


M 4/9


cont


W 4/11


cont

A
#8 DUE
A
#9
assigned:
4.3: 2, 3 6,
7abc, 13, 14, 17,
19, 20, 28, 29, 32, 33
4.4:
1,
2, 3, 10, 11, 20, 23, 28
4.6:
2,
3, 6, 10

F 4/13

4.4

orthogonal
bases and GramSchmidt


M 4/16

4.6

least squares


W 4/18

5.1

linear
transformations

A
#9 DUE
A
#10
assigned:
5.1: 2, 9, 10,
11, 12, 23, 24,
26, 15, 16, 17, 32
5.2:
1,
3

F 4/20

5.2

kernels and
theorems


M 4/23

6.1

determinants


W 4/25

6.2

cont.

A
#10 DUE
A
#11
(REVISED!) assigned:
6.1: 2, 3, 4,
8, 10, 11, 12,
14, 16
6.2:
1ace,
2abe, 6a, 8, 9
7.1:
1,
2, 5ab, 6ab, 8ac, 9b, 10c, 11, 14, 21, 22, 24b

F 4/27


UAF
Spring Fest (no
classes) 

M 4/30

7.1

eigenvalues
and eigenvectors


W 5/2


cont


F 5/4

7.2 
similarity and
diagonalization
Final
Exam
MATLAB PART distributed in class and here:
finalMATLAB_m314s07.pdf
solutions:
final_matlab_solns.txt

A
#11 DUE
A
#12 assigned:
7.1:
1, 2, 5ab, 6ab, 8ac, 9b, 10c, 11, 14, 21, 22, 24b
7.2: 6ac, 7ab,
10acd
8.1:
1,
3, 6

M 5/7

8.1

linear
differential
and difference equations 
Solutions
to A #12
distributed in class 
W 5/9

[15
lectures
to here] 
FINAL
EXAM (in class
part)
10:15am12:15pm
Bunnell 410

Final
Exam MATLAB
PART DUE
in class at
10:15am 
