Math 22, Summer 2013, Schedule (subject to change)
Linear Algebra with
Applications
Dartmouth College, Department of Mathematics

Lecture 
Date 
Sections 
Topic 
Week
1 
1 
6/21 
1.1 1.2 
Systems
of linear equations Row
reduction and echelon forms 
Week
2 
2 
6/24 
1.3 1.4 
Vector
equations The
matrix equation Ax=b 

3 
6/26 
1.4
cont. 1.5 
Ax=b
cont. Soln
sets of linear eqns 

4 
6/28 
1.7 
Linear
independence 
Week
3 
5 
7/1 
1.8 
Intro
to linear transformations 

6 
7/3 
1.9 
The
matrix of a linear transformation 

7 
7/5 
2.1 2.2 
Matrix
operations The
inverse of a matrix 
Week
4 
8 
7/8 
2.3 
Characterizations
of invertible matrices 

9 
7/10 
3.1 3.2 
Intro
to Determinants Properties
of determinants 

10 
7/12 
4.1 
Vector
spaces and subspaces 
Week
5 
11 
7/15 
4.2 
Null
spaces, column spaces, linear transformations 

12 
7/17 
4.3 
Linearly
independent sets; Bases 

13 
7/19 
4.4 
Coordinate
systems 
Week
6 
14 
7/22 
4.5 
The
dimension of a vector space 

15 
7/24 
4.6 
Rank 

16 
7/26 
4.7 
Change
of basis 
Week
7 
17 
7/29 
4.9 
Applications
to Markov Chains 

18 
7/31 
5.1 
Eigenvectors
and eigenvalues 

19 
8/2 
5.2 
The
characteristic equation 
Week
8 
20 
8/5 
5.3 
Diagonalization 

21 
8/7 
6.1 
Inner
product, length, orthogonality (Final
day to Withdraw) 

22 
8/9 
6.2 
Orthogonal
sets 
Week
9 
23 
8/12 
6.3 
Orthogonal
projections Midterm
II 3:305pm (Covers 3.25.3, with exception of Markov Chains 

24 
8/14 
6.4 
The
GramSchmidt Process 

25 
8/16 
7.1 
Diagonalization
of symmetric matrices 
Week
10 
26 
8/19 
7.4 
The
SVD 

27 
8/21
(last day of class) 
7.4
cont. 
The
SVD cont. 


8/228/23 

Preexamination
break 


8/24 

FINAL
EXAM: 8am11am 