| Lectures |
Sections in Text |
Brief Description |
| Friday, June 22 |
1.1 - 1.2 |
Systems of Linear Equations; Row Reduction and Echelon Forms |
| Saturday, June 23 |
|
No class |
| Monday, June 25 |
1.3-1.4 |
Vector Equations; The Matrix Equation Ax=b |
| Tuesday, June 26 (x-hour) |
|
Proofs |
| Wednesday, June 27 |
1.5, 1.7 |
Solution Sets of Linear Systems; Linear Independence |
| Friday, June 29 |
1.8 |
Introduction to Linear Transformations |
| Monday, July 2 |
1.9 |
The Matrix of a Linear Transformation |
| Tuesday, July 3 (x-hour) |
2.1 - 2.2 |
Matrix Operations; The Inverse of a Matrix |
| Wednesday, July 4 |
|
No class |
| Friday, July 6 |
2.2-2.3 |
The Inverse of a Matrix; Characterizations of Invertible Matrices |
| Monday, July 9 |
|
Applications |
| Tuesday, July 10 (x-hour) |
|
Review |
| Wednesday, July 11 |
|
Exam I |
| Friday, July 13 |
3.1-3.3 |
Introduction to Determinants; Properties of Determinants; Cramer's Rule, Volume, and Linear Transformations |
| Monday, July 16 |
4.1 |
Vector Spaces and Subspaces |
| Tuesday, July 17 (x-hour) |
|
proofs |
| Wednesday, July 18 |
4.2 |
Null Spaces, Column Spaces, and Linear Transformations |
| Friday, July 20 |
4.3 |
Linearly Independent Sets, Bases |
| Monday, July 23 |
4.4 |
Coordinate Systems |
| Tuesday, July 24 (x-hour) |
4.5-4.6 |
The Dimension of a Vector Space; Rank |
| Wednesday, July 25 |
4.7 |
Change of Basis |
| Friday, July 27 |
4.9 |
Applications to Markov Chains |
| Monday, July 30 |
|
Review |
| Tuesday, July 31 (x-hour) |
|
Exam II |
| Wednesday, August 1 |
5.1 |
Eigenvectors and Eigenvalues |
| Friday, August 3 |
5.2 |
The Characteristic Equation |
| Monday, August 6 |
5.3 |
Diagonalization |
| Tuesday, August 7 (x-hour) |
5.4 |
Eigenvectors and Linear Transformations |
| Wednesday, August 8 |
5.5 |
Complex Eigenvalues |
| Friday, August 10 |
6.1 |
Inner Product, Length, and Orthogonality |
| Monday, August 13 |
6.2 |
Orthogonal Sets |
| Tuesday, August 14 (x-hour) |
6.3 |
Orthogonal Projections |
| Wednesday, August 15 |
6.4 |
The Gram-Schmidt Process |
| Friday, August 17 |
6.5-6.6 |
Least-Squares Problems; Applications to Linear Models |
| Monday, August 20 |
7.1 |
Diagonalization of Symmetric Matrices |
| Tuesday, August 21 (x-hour) |
|
Applications |
| Wednesday, August 22 |
|
Review |
| Saturday, August 25 |
|
Final Exam: 8:00-11:00 A.M. |