| Class Number |
Date |
Sections in Text |
Brief Description |
| 1 |
Friday, 8/30 |
- |
Introduction, Overview of Linear Algebra, Solving Equations |
| 2 |
Monday, 9/2 |
1.I.1 |
Systems of Linear Equations, Set Notation, Gauss's Method |
| 3 |
Wednesday, 9/4 |
1.I.1 |
Proving Gauss's Method Preserves Solutions, Examples |
| 4 |
Friday, 9/6 |
1.I.2, 1.I.3 |
Describing Solution Sets, Encoding With Matrices |
| 5 |
Monday, 9/9 |
1.II.1 |
Proving Universal Statements, Mathematical Induction |
| 6 |
Wednesday, 9/11 |
1.II.1, 1.II.2 |
Regular and Strong Induction |
| 7 |
Friday, 9/13 |
1.III.1 |
Homogeneous Linear Systems |
| 8 |
Monday, 9/16 |
1.III.2 |
Nonhomogeneous Systems |
| 9 |
Wednesday, 9/18 |
1.III.2, 1.IV.1, 1.IV.2 |
Singular Matrices, Gauss-Jordan Reduction, Row Equivalence |
| 10 |
Friday, 9/20 |
1.IV.3, 2.I.1 |
Linear Combinations and Row Equivalence, Vector Spaces |
| 11 |
Monday, 9/23 |
2.I.1 |
Vector Spaces |
| 12 |
Wednesday, 9/25 |
- |
First Exam |
| 13 |
Friday, 9/27 |
2.I.2, 2.I.3 |
Subspaces, Spans |
| 14 |
Monday, 9/30 |
2.I.3 |
Spans |
| 15 |
Wednesday, 10/2 |
2.II.1 |
Linear Independence |
| 16 |
Friday, 10/4 |
2.II.2 |
Spans and Linear Independence |
| 17 |
Monday, 10/7 |
2.II.2, 2.III.1 |
Spans and Linear Independence, Bases |
| 18 |
Wednesday, 10/9 |
2.III.1, 2.III.2 |
Bases and Dimension |
| 19 |
Friday, 10/11 |
2.III.2 |
Dimension of a Vector Space |
| 20 |
Monday, 10/14 |
2.IV.1, 2.IV.2 |
Row Space and Column Space of a Matrix |
| 21 |
Wednesday, 10/16 |
2.IV.3, 3.I.1 |
Rank of a Matrix, Linear Transformations |
| 22 |
Friday, 10/18 |
3.I.1, 3.I.2, 3.I.3 |
Surjective and Injective Linear Transformations |
| - |
Monday, 10/21 |
- |
Fall Break |
| - |
Wednesday, 10/23 |
- |
Fall Break |
| - |
Friday, 10/25 |
- |
Fall Break |
| 23 |
Monday, 10/28 |
3.I.2, 3.I.3 |
Surjective and Injective Linear Transformations |
| 24 |
Wednesday, 10/30 |
3.II.1, 3.II.2 |
Isomorphisms and Inverses |
| 25 |
Friday, 11/1 |
- |
Second Exam |
| 26 |
Monday, 11/4 |
3.II.2 |
Isomorphisms and Inverses |
| 27 |
Wednesday, 11/6 |
3.II.3 |
Isomorphism and Dimension |
| 28 |
Friday, 11/8 |
3.III.1, 3.III.2, 3.III.3 |
Rank and Nullity |
| 29 |
Monday, 11/11 |
3.III.3, 4.I.1 |
Rank-Nullity Theorem, Computing Linear Transformations |
| 30 |
Wednesday, 11/13 |
4.I.1, 4.I.2 |
Representing Linear Transformations with Matrices |
| 31 |
Friday, 11/15 |
4.II.1, 4.II.2 |
Sums and Products of Matrices |
| 32 |
Monday, 11/18 |
4.II.2, 4.II.3 |
Matrix Multiplication |
| 33 |
Wednesday, 11/20 |
4.II.4 |
Inverses of Matrices |
| 34 |
Friday, 11/22 |
4.II.4, 4.III.1 |
Inverses of Matrices, Change of Basis |
| 35 |
Monday, 11/25 |
4.III.1, 4.III.2 |
Change of Basis and Representation, 2x2 Determinants |
| 36 |
Wednesday, 11/27 |
- |
Determinants |
| - |
Friday, 11/29 |
- |
Thanksgiving Break |
| 37 |
Monday, 12/2 |
- |
Determinants, Cofactor Expansions, Area/Volume Distortion |
| 38 |
Wednesday, 12/4 |
- |
Third Exam |
| 39 |
Friday, 12/6 |
- |
Eigenvalues and Eigenvectors |
| 40 |
Monday, 12/9 |
- |
Diagonalizability |
| 41 |
Wednesday, 12/11 |
- |
Recursive Sequences, Markov Chains |
| 42 |
Friday, 12/13 |
- |
Absorbing Markov Chains |