Weeks 
Dates 
Sections 
Handouts 
Homework

Due
Dates

1

Jan 17

Section 1.1 
Systems
of Linear Equations 
Section
1.1: # 14, 16
Section 1.2: # 30

Jan 26

Jan 19

Section 1.2 
Row
Reduction and Echelon Forms, Part 1

2

Jan 24, 26

Section 1.2 
Row
Reduction and Echelon Forms, Part 2

Section
1.3: # 29
Section 1.4: # 36

Feb 2 
Section 1.3

Vector
Equations

Section 1.4 
The
Matrix Equation Ax = b 
3

Jan 31

Section 1.5 
Solution
Sets of Linear Systems

Section
1.5: # 14, 22, 37
Section 1.6: # 4, 6, 12

Feb 9

Feb 2

Section 1.6 
Applications
of Linear Systems

4

Feb 7, 9

Section 1.7 
Linear
Independence

Section
1.7: # 41
Section 1.8: # 32, 33
Section 1.9: # 26, 28, 32

Feb 16 
Section 1.8 
Introduction
to Linear Transformations

Section 1.9 
The
Matrix of a Linear Transformation

5

Feb 14

Section 1.10 
Linear Models in Business,
Science, and Engineering

Section
1.10: # 2, 6, 10
Section 2.1: # 40

Feb 23

Section 2.1 
Matrix
Operations 
Feb
16 
Sections
1.11.9 
MIDTERM 1

6

Feb 21, 23

Section 2.2 
The
Inverse of a Matrix

Section
2.2: # 33
Section 2.3: # 34
Section 2.4: # 4, 6, 12, 15, 21 
Mar 2

Section 2.3 
Characterizations
of Invertible Matrices

Section 2.4 
Partitioned Matrices

7

Feb 28, Mar 2

Section 2.5 
Matrix Factorizations

Section 2.5: # 4, 10, 16

Mar 9

Section 2.8 
Subspaces
of R^{n
} 
Section 2.9 
Dimension
and Rank

8

Mar 7, 9

Section 3.1 
Introduction
to Determinants

Section
2.8: # 38
Section 2.9: # 24
Section 3.1: # 42
Section 3.2: # 34
Section 3.3: # 4, 6, 31

Mar 23

Section 3.2 
Properties
of Determinants

Section 3.3 
Cramerâ€™s
Rule, Volume, and Linear Transformations

9

Mar
1318

Spring
break

10

Mar 21, 23 
Section 4.1 
Vector
Spaces and Subspaces

Section 4.1: # 32
Section 4.2: # 34
Section 4.3: # 28

Mar 30

Section 4.2 
Null
Spaces, Column Spaces, and Linear
Transformations

Section 4.3 
Linearly Independent Sets; Bases

11

Mar 28, 30 
Section 4.4 
Coordinate
Systems

Section 4.4: # 38
Section 4.5: # 34
Section 4.6: # 32
Section 4.7: # 2, 4, 6, 10, 12, 14

Apr 6

Section 4.5 
The Dimension of a Vector Space

Section 4.6 
Rank

Section 4.7 
Change
of Basis 
12

Apr 4

Section 5.1 
Eigenvectors
and Eigenvalues

Section
5.1: # 26, 27

Apr 13

Apr
6 
Sections
2.12.5, 2.8, 2.9, 3.13.3, 4.14.7

MIDTERM 2

13

Apr 11, 13

Section 5.2 
The
Characteristic Equation

Section
5.2: # 25
Section 5.4: # 2, 4, 6, 8, 12, 16, 30

Apr 20

Section 5.3 
Diagonalization

Section 5.4 
Eigenvectors
and Linear Transformations

14

Apr 18, 20 
Section 6.1 
Inner
Product, Length, and Orthogonality

Section 6.2: # 25
Section 6.3: # 23, 24

Apr 27

Section 6.2 
Orthogonal
Sets

Section 6.3 
Orthogonal
Projections

15

Apr 25, 27 
Section 6.4 
The
GramSchmidt Process

Section 6.7: # 4, 6, 8, 9, 10, 22,
24 
May 4

Section 6.5 
LeastSquares
Problems 
Section 6.6 
Applications to Linear Models 
16

May
2, 4

Section 7.1 
Inner Product
Spaces 


Section 7.2 
Quadratic Forms 
17

May
10 (Wed) 7:0010:00
TTH 11:0012:30 group (54615)

Cumulative

FINAL EXAM



May
15 (Mon) 2:005:00
TTH 12:302:00 group (54625) 