|
Date |
Topic |
Book |
Homework |
Practice Problems |
Sept. |
13 |
Introduction to the course |
§1.1 |
|
|
|
15 |
Vectors |
§1.1 |
|
14, 16, 18, 20, 23
|
|
16 |
Length, angle |
§1.2 |
|
17, 18, 32, 33
|
|
20 |
Projection |
§1.2 |
|
40, 41, 46, 49, 61
|
|
22 |
The cross product |
p. 48—49 |
|
1, 2, 4, 5
|
|
23 |
More about the cross product |
|
H1 |
|
|
27 |
Linear equations and matrices |
§2.1-2 |
A1 |
§2.1: 1, 3, 6, 9, 28
|
|
29 |
Solving linear equations with matrices I |
§2.2 |
|
1, 2, 10, 11, 17, 19
|
|
30 |
Solving linear equations with matrices II |
|
H2 |
|
Oct. |
4 |
Rank |
§2.2 |
A2 |
23, 24, 40, 48
|
|
6 |
Linear combinations |
§2.3 |
|
1, 3, 5, 10, 11, 20
|
|
7 |
Functions and linear transformations |
§3.6 |
H3 |
3 – 6
|
|
11 |
More about linear transformations |
§3.6 |
A3 |
7 – 10
|
|
13 |
Some geometric linear transformations |
§3.6 |
|
36, 37, 38
|
|
14 |
In-class exam #1 |
§3.3 |
H4 |
|
|
18 |
Representing linear transformations |
§3.6 |
A4 |
23, 24, 25
|
|
20 |
Representing linear transformations II |
§3.6 |
|
|
|
21 |
Matrix Multiplication |
§3.1 |
H5 |
5, 6, 11, 12, 17, 18
|
|
25 |
More matrix multiplication |
§3.1 |
A5 |
23—28, 31, 32
|
|
27 |
Transformations and equations |
|
|
|
|
28 |
Invertible transformations |
§3.3 |
H6 |
8
|
Nov. |
1 |
Computing the inverse |
§3.3 |
A6 |
48, 49, 52, 53, 54
|
|
3 |
Subspaces |
§3.5 |
|
1 – 8
|
|
4 |
More subspaces |
§3.5 |
H7 |
15, 16,
|
|
8 |
Linear dependence |
§2.3 |
A7 |
22 – 24
|
|
10 |
In-class exam #2 |
|
|
|
|
11 |
Linear independence |
§2.3 |
H8 |
25, 26, 44, 46
|
|
15 |
Bases |
§3.5 |
A8 |
45, 46, 47
|
|
17 |
Dimension |
§3.5 |
|
|
|
18 |
Proof of the key lemma |
§3.5 |
H9 |
39, 40,
|
|
22 |
The rank-nullity theorem |
§3.5 |
A9 |
41, 42
|
|
24 |
Translates |
|
|
|
|
25 |
More translates |
|
H10 |
|
|
29 |
The Kernel Principle |
|
A10 |
|
Dec. |
1 |
More Kernel Principle |
|
|
|
|
2 |
Odds and Ends |
|
H11 |
|
|
6 |
|
|
A11 |
|
|
8 |
|
|
|
|
|
9 |
|
|
H12 |
|
|
13 |
|
|
A12 |
|