| 1 |
Monday, 1/22 |
1.1 |
Introduction, Overview of Linear Algebra |
| 2 |
Wednesday, 1/24 |
1.2 - 1.3 |
Mathematical Statements, Quantifiers (For all, There exists), Negations |
| 3 |
Friday, 1/26 |
1.3 - 1.4 |
Alternations of Quantifiers, Mathematical Definitions |
| 4 |
Monday, 1/29 |
1.4 |
Evens and Odds, Contrapositives and Contradictions |
| 5 |
Wednesday, 1/31 |
1.5 |
Sets, Constructing Sets, Subsets |
| 6 |
Friday, 2/2 |
1.5 - 1.6 |
Set Equality, Set Operations, Functions |
| 7 |
Monday, 2/5 |
1.6 - 1.7 |
Injective, Surjective, and Bijective Functions |
| 8 |
Wednesday, 2/7 |
1.7 - 2.2 |
Inverse Functions, Solving Equations, Vectors in R^2 |
| 9 |
Friday, 2/9 |
2.3 |
The Span of Vectors in R^2 |
| 10 |
Monday, 2/12 |
2.3 - 2.4 |
Bases, Linear Transformations: Definitions and Examples |
| 11 |
Wednesday, 2/14 |
2.4 |
Linear Transformations: Properties and Bases |
| 12 |
Friday, 2/16 |
2.4 - 2.5 |
Operations on Linear Transformations, The Standard Matrix |
| 13 |
Monday, 2/19 |
- |
First Exam |
| 14 |
Wednesday, 2/21 |
2.5 |
The Standard Matrix, Examples (Rotations, Projections, Reflections) |
| 15 |
Friday, 2/23 |
2.6 |
Matrix Algebra |
| 16 |
Monday, 2/26 |
2.7 |
The Range and Null Space of a Linear Transformation |
| 17 |
Wednesday, 2/28 |
2.7 - 3.1 |
Inverses of Matrices, Coordinates and Change of Basis |
| 18 |
Friday, 3/1 |
3.2 |
Matrices with Respect to Other Coordinates |
| 19 |
Monday, 3/4 |
3.2 - 3.3 |
Changing Coordinates, Eigenvalues and Eigenvectors |
| 20 |
Wednesday, 3/6 |
3.3 |
Characteristic Polynomial, Diagonalization |
| 21 |
Friday, 3/8 |
3.3 - 3.4 |
Diagonalization, Determinants |
| 22 |
Monday, 3/11 |
3.4 - 4.1 |
Determinants, Vector Spaces |
| 23 |
Wednesday, 3/13 |
4.1 |
Vector Spaces, Subspaces |
| 24 |
Friday, 3/15 |
4.1 - 4.2 |
Spans, Linear Systems |
| - |
- |
- |
Spring Break |
| 25 |
Monday, 4/1 |
4.2 |
Solving Linear Systems, Augmented Matrices, Echelon Forms |
| 26 |
Wednesday, 4/3 |
- |
Second Exam |
| 27 |
Friday, 4/5 |
4.2 |
Reduced Echelon Form, Spans in Polynomial and Function Spaces |
| - |
Monday, 4/8 |
- |
Class Canceled |
| 28 |
Wednesday, 4/10 |
4.3 |
Spanning Sequences |
| 29 |
Friday, 4/12 |
4.4 |
Linearly Independent Sequences |
| 30 |
Monday, 4/15 |
4.5 |
Bases and Coordinates |
| 31 |
Wednesday, 4/17 |
4.5 |
Trimming Spanning Sequences to Bases |
| 32 |
Friday, 4/19 |
4.6 |
Dimension |
| 33 |
Monday, 4/22 |
5.1 |
General Linear Transformations, Matrices |
| 34 |
Wednesday, 4/24 |
5.1 - 5.2 |
Matrices, The Range and Null Space of a Linear Transformation |
| 35 |
Friday, 4/26 |
5.2 |
Rank and Nullity |
| 36 |
Monday, 4/29 |
- |
Third Exam |
| 37 |
Wednesday, 5/1 |
5.2 |
Injective and Surjective Linear Transformations, Invertible Matrices |
| 38 |
Friday, 5/3 |
5.3 |
Determinants |
| 39 |
Monday, 5/6 |
5.3 |
Determinants, Cofactor Expansions |
| 40 |
Wednesday, 5/8 |
5.4 |
Eigenvalues and Eigenvectors |
| 41 |
Friday, 5/10 |
- |
Markov Chains, Fitting Lines to Data |