| Mon Jan 31 |
1.1, 1.2 |
One.II.1 |
Vectors, Linear Combinations, Lengths, Dot Products |
Set 1 |
3B1B Ex1, 3B1B Ex2, KA Dot product |
| Wed Feb 2 |
1.3, 2.1 |
One.II.2 |
Matrices, Vectors and Linear Equations |
Set 2 |
Strang 1 |
| Mon Feb 7 |
2.2, 2.3 |
One.I.1 |
Elimination |
Set 3 |
Strang 2, Example |
| Wed Feb 9 |
2.4, 2.5 |
One.III |
Matrix Operations, Inverse Matrices |
Set 4, 5 |
Strang 3 |
| Mon Feb 14 |
2.6 |
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LU Factorization |
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Strang 4 |
| Wed Feb 16 |
2.7 |
Two.I |
Transposes and permutations |
Set 6 |
Strang 5 |
| Mon Feb 21 |
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No class |
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| Wed Feb 23 |
3.1 |
Two.I |
Spaces of Vectors |
Set 7 |
Strang 6 |
| Mon Feb 28 |
3.2 |
Two.I |
Nullspace of A |
Set 8 |
Strang 7 |
| Wed Mar 2 |
3.3 |
One.I |
Complete solution to Ax=b |
Set 9 |
Strang 8 |
| Mon Mar 7 |
3.4 |
|
Independence, Basis and Dimension |
Set 10, 11, 12 |
Strang 9 |
| Wed Mar 9 |
3.5 |
|
Dimensions of the Four Subspaces |
Set 13 |
Strang 10 |
| Mon Mar 14 |
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Review |
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| Wed Mar 16 |
|
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Exam 1 |
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| Mon Mar 21 |
4.1 |
|
Orthogonality of the Four Subspaces |
Set 14 |
Strang 14 |
| Wed Mar 23 |
4.2, 4.3 |
|
Projections and Least Squares Approximations |
Set 15, 16 |
Strang 15, Strang 16 |
| Mon Mar 28 |
4.4 |
|
Orthogonal Bases and Gram-Schmidt |
Set 17 |
Strang 17 |
| Wed Mar 30 |
5.1, 5.2 |
|
Determinants |
Set 18 |
Strang 18, Strang 19 |
| Mon Apr 4 |
5.3 |
|
Cramer’s Rule, Inverses, and Volumes |
Set 19 |
Strang 20, 3B1B E12 |
| Wed Apr 6 |
6.1 |
|
Eigenvalues |
Set 20 |
Strang 21, EB1B E14, SETOSA |
| Mon Apr 11 |
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Review |
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| Wed Apr 13 |
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Exam 2 |
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| Mon Apr 18 |
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Spring break |
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| Wed Apr 20 |
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Spring break |
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| Mon Apr 25 |
6.2 |
|
Diagonalizing a Matrix |
Set 21 |
Strang 22 |
| Wed Apr 27 |
8.1 |
|
Linear Transformations |
Set 22 |
3B1B E3, 3B1B E4 |
| Mon May 2 |
8.1 |
|
Linear Transformations |
|
3B1B E5 |
| Wed May 4 |
8.2 |
|
Matrix of a Linear Transformation |
Set 23 |
Strang 30, Mathinsight Applet |
| Mon May 9 |
|
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Review |
|
Strang 34 |
| Wed May 11 |
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Exam 3 |
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| Mon May 16 |
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Review |
|
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| Wed May 18 |
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Final |
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