| Weeks |
Dates |
Sections |
Lecture
Notes |
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
1.1-1.9 |
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 Rn
|
| 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 |
Cramer’s
Rule, Volume, and Linear Transformations
|
9
|
Mar
13-18
|
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: # 1, 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
2.1-2.5, 2.8, 2.9, 3.1-3.3, 4.1-4.7
|
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
Gram-Schmidt Process
|
|
|
| Section 6.5 |
Least-Squares
Problems |
| Section 6.6 |
Applications to Linear Models |
16
|
May
2, 4
|
Section 6.7 |
Inner
Product Spaces |
Section
6.7: # 4, 6, 8, 9, 10, 22, 24 |
May 4
|
| Section 7.1 |
Diagonalization of Symmetric
Matrices |
| Section 7.2 |
Quadratic Forms |
17
|
May
10 (Wed) 7:00-10:00
TTH 11:00-12:30 group (54615)
|
Cumulative
|
FINAL EXAM
|
|
|
May
15 (Mon) 2:00-5:00
TTH 12:30-2:00 group (54625) |