| Lectures |
Sections in the Textbook |
Brief Description |
| Day 1: September 22, Wednesday |
1.1 |
Systems of Linear Equations |
| Day 2: September 24, Friday |
1.2 |
Row Reduction and Echelon Forms |
| Day 3: September 27, Monday |
1.3, 1.4 |
Vector Equations; The Matrix Equation Ax=b |
| Day 4: September 29, Wednesday |
1.4, 1.5 |
Ax=b (cont.); Solution Sets of Linear Systems |
| Day 5: October 1, Friday |
1.7 |
Linear Independence |
| Day 6: October 4, Monday |
1.8 |
Introduction to Linear Transformations |
| October 5, Tuesday |
|
Last day to add/drop |
| Day 7: October 6, Wednesday |
1.9 |
The Matrix of a Linear Transformation |
| Day 8: October 8, Friday |
2.1, 2.2 |
Matrix Operations; The Inverse of a Matrix |
| Day 9: October 11, Monday |
2.2, 2.3 |
The Inverse of a Matrix (cont.); Characterizations of Invertible Matrices |
| Day 10: October 13, Wednesday |
3.1 |
Introduction to Determinants |
| Day 11: October 15, Friday |
3.2, 3.3 |
Properties of Determinants; Cramer's Rule, Volume, and Linear Transformations (briefly) |
| Day 12: October 18, Monday |
4.1 |
Vector Spaces and Subspaces |
| October 19, Tuesday |
|
First Midterm 6PM - 8PM |
| Day 13: October 20, Wednesday |
4.2 |
Null Spaces, Column Spaces, and Linear Transformations |
| Day 14: October 22, Friday |
4.3 |
Linearly Independent Sets; Bases |
| Day 15: October 25, Monday |
4.4 |
Coordinate Systems |
| Day 16: October 27, Wednesday |
4.4, 4.5 |
Coordinate Systems (cont.); The Dimension of a Vector Space |
| Day 17: October 29, Friday |
4.5 |
The Dimension of a Vector Space (cont.) |
| Day 18: November 1, Monday |
4.6 |
Rank |
| Day 19: November 3, Wednesday |
5.1 |
Eigenvectors and Eigenvalues (skip Eigenvectors and Difference Equations) |
| Day 20: November 5, Friday |
5.2 |
The Characteristic Equation (skip Application to Dynamical Systems) |
| Day 21: November 8, Monday |
5.3 |
Diagonalization |
| November 9, Tuesday |
|
Second Midterm 6PM - 8PM |
| Day 22: November 10, Wednesday |
5.4 |
Eigenvectors and Linear Transformations |
| Day 23: November 12, Friday |
5.4, 6.1 |
Eigenvectors and Linear Transformations (cont.); Inner Product, Length, and Orthogonality |
| November 12, Friday |
|
Last day to drop |
| Day 24: November 15, Monday |
6.1 |
Inner Product, Length, and Orthogonality (cont.) |
| Day 25: November 17, Wednesday |
6.2 |
Orthogonal Sets |
| Day 26: November 19, Friday |
6.2, 6.3 |
Orthogonal Sets (cont.); Orthogonal Projections |
| Day 27: November 22, Monday |
6.3 |
Orthogonal Projections (cont.) |
| November 24 – November 28 |
|
Thanksgiving recess
|
| Day 28: November 29, Monday |
5.7 |
Applications of Linear Algebra to Differential Equations |
| Day 29: December 1, Wednesday |
— |
Review etc. |