| Class Number |
Date |
Sections in Notes |
Brief Description |
| 1 |
Friday, 8/29 |
1.1 |
Introduction, Overview of Linear Algebra |
| 2 |
Monday, 9/1 |
1.2 - 1.3 |
Mathematical Statements, Quantifiers (For all, There exists) |
| 3 |
Wednesday, 9/3 |
1.3 - 1.4 |
Negations, Alternation of Quantifiers, Mathematical Definitions |
| 4 |
Friday, 9/5 |
1.4 |
Evens and Odds |
| 5 |
Monday, 9/8 |
1.5 |
Sets, Constructing Sets, Subsets |
| 6 |
Wednesday, 9/10 |
1.5 - 1.6 |
Set Operations, Functions |
| 7 |
Friday, 9/12 |
1.6 - 1.7 |
Function Composition, Injective and Surjective Functions, Solving Equations |
| 8 |
Monday, 9/15 |
2.1 - 2.2 |
Intersections of Lines, The Span of a Vector |
| 9 |
Wednesday, 9/17 |
2.2 |
The Span of Two Vectors, Coordinates |
| 10 |
Friday, 9/19 |
2.2 - 2.3 |
Changing Coordinates, Linear Transformations |
| 11 |
Monday, 9/22 |
2.3 |
Examples of Linear Transformations |
| 12 |
Wednesday, 9/24 |
2.3 |
Existence and Uniqueness of Linear Transformations, Operations on
Linear Transformations (Addition, Scalar Multiplication, Composition) |
| 13 |
Friday, 9/26 |
- |
First Exam |
| 14 |
Monday, 9/29 |
2.4 |
The Standard Matrix of a Linear Transformations |
| 15 |
Wednesday, 10/1 |
2.4 |
Projections, Matrix Algebra |
| 16 |
Friday, 10/3 |
2.5 |
The Range and Null Space of a Linear Transformation |
| 17 |
Monday, 10/6 |
2.5 |
Inverses of Functions and Matrices |
| 18 |
Wednesday, 10/8 |
2.6 |
Matrices with Respect to Other Coordinates |
| 19 |
Friday, 10/10 |
2.6 - 2.7 |
Changing Coordinates, Eigenvalues and Eigenvectors |
| 20 |
Monday, 10/13 |
2.7 |
Characteristic Polynomial, Diagonalization |
| 21 |
Wednesday, 10/15 |
2.7 |
Diagonalization, Applications |
| 22 |
Friday, 10/17 |
2.8 |
Determinants, Area Distortion |
| - |
- |
- |
Fall Break |
| 23 |
Monday, 10/27 |
3.1 |
Vector Spaces, Examples |
| 24 |
Wednesday, 10/29 |
3.1 |
Properties of Vector Spaces, Subspaces |
| 25 |
Friday, 10/31 |
- |
Second Exam |
| 26 |
Monday, 11/3 |
3.1 |
Subspaces, Spans |
| 27 |
Wednesday, 11/5 |
3.2 |
Solving Linear Systems |
| 28 |
Friday, 11/7 |
3.2 |
Echelon Forms, Determining Whether Vectors Span |
| 29 |
Monday, 11/10 |
3.2 |
Spanning Sequences |
| 30 |
Wednesday, 11/12 |
3.3 |
Linearly Independent Sequences |
| 31 |
Friday, 11/14 |
3.3 |
Bases |
| 32 |
Monday, 11/17 |
3.3 |
Dimension |
| 33 |
Wednesday, 11/19 |
3.3 - 3.4 |
Subspaces as Spans, General Linear Transformations |
| 34 |
Friday, 11/21 |
3.4 |
Coding General Linear Transformations as Matrices |
| 35 |
Monday, 11/24 |
3.4 |
Range and Null Space of General Linear Transformations,
Rank-Nullity Theorem |
| 36 |
Wednesday, 11/26 |
3.4 |
Interpreting Matrices, Bases of Column Spaces, Matrix Inverses |
| - |
Friday, 11/28 |
- |
Thanksgiving Break |
| 37 |
Monday, 12/1 |
3.4 - 3.5 |
The Inverse of a Matrix, Determinants |
| 38 |
Wednesday, 12/3 |
- |
Third Exam |
| 39 |
Friday, 12/5 |
3.5 |
Determinants |
| 40 |
Monday, 12/8 |
3.5 - 3.6 |
Cofactor Expansions, Eigenvalues and Eigenvectors |
| 41 |
Wednesday, 12/10 |
3.6 |
Characteristic Polynomial, Diagonalization, Markov Chains |
| 42 |
Friday, 12/12 |
- |
Markov Chains |