Date 
Section(s) in Text 
Brief Description 
9/20 
1.1 
Systems of Linear Equations 
9/21 (xhour) 

xhour proof workshop 
9/22 
1.2 
Row Reduction and Echelon Forms 
9/25 
1.3 
Vector Equations 
9/27 
1.4, 1.5 
The Matrix Equation Ax = b, Solution Sets of
Linear Systems 
9/28 (xhour) 

xhour proof workshop 
9/29 
1.7 
Linear Independence 
10/2 
1.8 
Introduction to Linear Transformations 
10/4 
1.9 
The Matrix of a Linear Transformation 
10/5 (xhour) 
2.1, 2.2 
Matrix Operations, The Inverse of a Matrix 
10/6 
2.2, 2.3 
The Inverse of a Matrix, Characterizations of Invertible
Matrices 
10/9 

catchup day; section 2.6 if time permits 
10/11 
4.1 
Vector Spaces and Subspaces 
10/12 (xhour) 

inclass part of exam 1 (covers sections 1.1 – 1.9, 2.1
– 2.3 minus section 1.6) 
10/13 
4.2 
Null Spaces, Column Spaces, and Linear Transformations 
10/16 
4.3 
Linearly Independent Sets; Bases 
10/18 
4.4 
Coordinate Systems 
10/19 (xhour) 

xhour proof workshop 
10/20 
4.5 
The Dimension of a Vector Space 
10/23 
4.6 
Rank 
10/25 
4.7 
Change of Basis 
10/26 (xhour) 

xhour proof workshop 
10/27 
3.1, 3.2 
Introduction to Determinants, Properties of Determinants 
10/30 
3.2, 3.3 
Properties of Determinants, Determinants as Area or Volume, Linear
Transformations 
11/1 
5.1 
Eigenvectors and Eigenvalues 
11/2 (xhour) 

inclass part of exam 2 (covers sections 4.1 – 4.7, 3.1
– 3.3) 
11/3 
5.2 
The Characteristic Equation 
11/6 
5.3 
Diagonalization 
11/8 
5.4 
Eigenvectors and Linear Transformations 
11/9 (xhour) 

xhour proof workshop 
11/10 
6.1 
Inner Product, Length, and Orthogonality 
11/13 
6.2 
Orthogonal Sets 
11/15 
6.3 
Orthogonal Projections 
11/16 (xhour) 

xhour proof workshop 
11/17 
6.4 
The GramSchmidt Process 
11/20 

no class 
11/22 

no class (Thanksgiving break) 
11/23 (xhour) 

no class (Thanksgiving break) 
11/24 

no class (Thanksgiving break) 
11/27 
7.1 
Diagonalization of Symmetric Matrices 
11/29 

wrap up; section 7.4 (the singular values of an m ×
n matrix, end of the invertible matrix theorem) if time
permits 
12/3 

Final Exam, 15:00 – 18:00 (3:00 – 6:00 pm) 