
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 
§2.12 
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 
Inclass 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 
Inclass 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 ranknullity 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 
