| Class Number |
Date |
Sections in Notes |
Brief Description |
| 1 |
Friday, 8/26 |
1.1 |
Introduction, Overview of Linear Algebra |
| 2 |
Monday, 8/29 |
1.2 - 1.3 |
Mathematical Statements, Quantifiers (For all, There exists), Negations |
| 3 |
Wednesday, 8/31 |
1.3 - 1.4 |
Alternation of Quantifiers, Mathematical Definitions |
| 4 |
Friday, 9/2 |
1.4 |
Evens and Odds, Contrapositives and Contradictions |
| 5 |
Monday, 9/5 |
1.5 |
Sets, Constructing Sets, Subsets |
| 6 |
Wednesday, 9/7 |
1.5 - 1.6 |
Set Operations, Functions |
| 7 |
Friday, 9/9 |
1.6 |
Function Composition, Injective and Surjective Functions |
| 8 |
Monday, 9/12 |
1.7 - 2.3 |
Solving Equations, Vectors in R^2, The Span of a Vector |
| 9 |
Wednesday, 9/14 |
2.3 |
The Span of Two Vectors |
| 10 |
Friday, 9/16 |
2.3 - 2.4 |
Bases and Coordinates, Linear Transformations |
| 11 |
Monday, 9/19 |
2.4 |
Examples of Linear Transformations |
| 12 |
Wednesday, 9/21 |
2.4 |
Existence and Uniqueness of Linear Transformations, Operations on Linear Transformations (Addition, Scalar Multiplication, Composition) |
| 13 |
Friday, 9/23 |
- |
First Exam |
| 14 |
Monday, 9/26 |
3.1 |
The Standard Matrix of a Linear Transformation |
| 15 |
Wednesday, 9/28 |
3.1 - 3.2 |
Projections, Matrix Algebra |
| 16 |
Friday, 9/30 |
3.2 - 3.3 |
Matrix Algebra, The Range and Null Space of a Linear Transformation |
| 17 |
Monday, 10/3 |
3.3 |
Inverses of Functions and Matrices |
| 18 |
Wednesday, 10/5 |
3.4 |
Matrices with Respect to Other Coordinates |
| 19 |
Friday, 10/7 |
3.4 - 3.5 |
Changing Coordinates, Eigenvalues and Eigenvectors |
| 20 |
Monday, 10/10 |
3.5 |
Characteristic Polynomial, Diagonalization |
| 21 |
Wednesday, 10/12 |
3.5 |
Diagonalization, Applications |
| 22 |
Friday, 10/14 |
3.6 |
Determinants, Area Distortion |
| - |
- |
- |
Fall Break |
| 23 |
Monday, 10/24 |
4.1 |
Vector Spaces, Examples |
| 24 |
Wednesday, 10/26 |
- |
Second Exam |
| 25 |
Friday, 10/28 |
4.1 |
Properties of Vector Spaces, Subspaces |
| 26 |
Monday, 10/31 |
4.1 - 4.2 |
Spans as Subspaces, Solving Linear Systems |
| 27 |
Wednesday, 11/2 |
4.2 |
Solving Linear Systems, Augmented Matrices |
| 28 |
Friday, 11/4 |
4.2 |
Echelon Forms, Determining Whether Vectors Span |
| 29 |
Monday, 11/7 |
4.2 |
Spanning Sequences |
| 30 |
Wednesday, 11/9 |
4.3 |
Linearly Independent Sequences |
| 31 |
Friday, 11/11 |
4.4 |
Bases |
| 32 |
Monday, 11/14 |
4.4 |
Dimension |
| 33 |
Wednesday, 11/16 |
4.4 - 5.1 |
Building Bases of Vector Spaces, General Linear Transformations |
| 34 |
Friday, 11/18 |
5.1 |
Coding General Linear Transformation as Matrices |
| 35 |
Monday, 11/21 |
5.1 - 5.2 |
Matrices, Range and Null Space of General Linear Transformations |
| 36 |
Wednesday, 11/23 |
5.2 |
Rank-Nullity Theorem, Interpreting Matrices, Bases of Column Spaces |
| - |
Friday, 11/25 |
- |
Thanksgiving Break |
| 37 |
Monday, 11/28 |
5.2 |
Invertible Matrices |
| 38 |
Wednesday, 11/30 |
- |
Third Exam |
| 39 |
Friday, 12/2 |
5.3 |
Determinants |
| 40 |
Monday, 12/5 |
5.3 |
Determinants, Cofactor Expansion |
| 41 |
Friday, 12/7 |
5.4 |
Eigenvalues and Eigenvectors of General Linear Transformations |
| 42 |
Friday, 12/9 |
5.4 |
Characteristic Polynomial, Diagonalization |