| Class Number |
Date |
Sections in Notes |
Brief Description |
| 1 |
Wednesday, 1/23 |
1.1 |
Introduction, Overview of Linear Algebra |
| 2 |
Friday, 1/25 |
1.2 - 1.3 |
Mathematical Statements, Quantifiers (For all, There exists), Negations |
| 3 |
Monday, 1/28 |
1.3 - 1.4 |
Alternations of Quantifiers, Mathematical Definitions |
| - |
Wednesday, 1/30 |
- |
Class Canceled (Weather) |
| 4 |
Friday, 2/1 |
1.4 |
Evens and Odds, Contrapositives and Contradictions |
| 5 |
Monday, 2/4 |
1.5 |
Sets, Constructing Sets, Subsets |
| 6 |
Wednesday, 2/6 |
1.5 - 1.6 |
Set Operations, Functions |
| 7 |
Friday, 2/8 |
1.6 |
Injective, Surjective, and Bijective Functionss |
| 8 |
Monday, 2/11 |
1.6 - 2.2 |
Inverse Functions, Solving Equations, Vectors in R^2 |
| 9 |
Wednesday, 2/13 |
2.3 |
The Span of Vectors in R^2 |
| 10 |
Friday, 2/15 |
2.3 - 2.4 |
Bases, Linear Transformations |
| 11 |
Monday, 2/18 |
2.4 |
Linear Transformations: Examples and Properties |
| 12 |
Wednesday, 2/20 |
- |
First Exam |
| 13 |
Friday, 2/22 |
2.4 - 2.5 |
Linear Transformations and Bases, Operations on Linear Transformations, The Standard Matrix |
| 14 |
Monday, 2/25 |
2.5 |
The Standard Matrix, Examples (Rotations, Projections, Reflections) |
| 15 |
Wednesday, 2/27 |
2.6 |
Matrix Algebra |
| 16 |
Friday, 3/1 |
2.7 |
The Range and Null Space of a Linear Transformation |
| 17 |
Monday, 3/4 |
2.7 - 3.1 |
Inverses of Matrices, Coordinates and Change of Basis |
| 18 |
Wednesday, 3/6 |
3.2 |
Matrices with Respect to Other Coordinates |
| 19 |
Friday, 3/8 |
3.2 - 3.3 |
Changing Coordinates, Eigenvalues and Eigenvectors |
| 20 |
Monday, 3/11 |
3.3 |
Characteristic Polynomial, Diagonalization |
| 21 |
Wednesday, 3/13 |
3.3 - 3.4 |
Diagonalization, Determinants |
| 22 |
Friday, 3/15 |
3.4 - 4.1 |
Determinants, Vector Spaces |
| - |
- |
- |
Spring Break |
| 23 |
Monday, 4/1 |
4.1 |
Properties of Vector Spaces, Subspaces |
| 24 |
Wednesday, 4/3 |
- |
Second Exam |
| 25 |
Friday, 4/5 |
4.2 |
Solving Linear Systems |
| 26 |
Monday, 4/8 |
4.2 |
Solving Linear Systems, Augmented Matrices, Echelon Forms |
| 27 |
Wednesday, 4/10 |
4.2 |
Spans in Polynomial and Function Spaces |
| 28 |
Friday, 4/12 |
4.3 |
Spanning Sequences |
| 29 |
Monday, 4/15 |
4.4 |
Linearly Independent Sequences |
| 30 |
Wednesday, 4/17 |
4.5 |
Bases and Coordinates |
| 31 |
Friday, 4/19 |
4.5 |
Dimension, Building Bases of Vector Spaces |
| 32 |
Monday, 4/22 |
5.1 |
General Linear Transformations |
| 33 |
Wednesday, 4/24 |
5.1 |
Coding Linear Transformations as Matrices |
| 34 |
Friday, 4/26 |
5.2 |
Range and Null Space, Rank-Nullity Theorem |
| 35 |
Monday, 4/29 |
5.2 |
Rank-Nullity Theorem, Calculating Rank, Injective and Surjective Linear Transformations |
| 36 |
Wednesday, 5/1 |
- |
Third Exam |
| 37 |
Friday, 5/3 |
5.2 - 5.3 |
Invertible Matrices, Determinants |
| 38 |
Monday, 5/6 |
5.3 |
Determinants |
| 39 |
Wednesday, 5/8 |
5.3 - 5.4 |
Determinants, Eigenvalues and Eigenvectors |
| 40 |
Friday, 5/10 |
- |
Markov Chains, Fitting Lines to Data |