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1 Classes begin. |
2
§1.1 Introduction §1.2 Vector spaces |
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4
§1.3 Subspaces |
5 |
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7
Labor Day No lecture. |
8 |
9
§1.4 Linear combinations and systems of linear equations |
10 |
11
§1.5 Linear dependence and linear independence |
12 |
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14
§1.6 Bases and dimension |
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16
§1.7 Maximal linearly independent subsets |
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18
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19 |
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21
§2.1 Linear transformations, null spaces, and ranges |
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23
§2.2 The matrix representation of a linear transformation |
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25
§2.3 Composition of linear transformations and matrix multiplication |
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28
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29 |
30
§2.4 Invertibility and isomorphisms |
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1 |
2
§2.5 The change of coordinate matrix |
3 |
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5
Fall Break No lecture. |
6 |
7
Review |
8 |
9
MIDTERM I |
10 |
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12
§2.6 Dual spaces |
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14
§3.1 Elementary matrix operations and elementary matrices |
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16
§3.2 The rank of a matrix and matrix inverses |
17 |
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19
§3.3 Systems of linear equations--theoretical aspects |
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21
§3.4 Systems of linear equations--computational aspects |
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23
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24 |
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26
§4.1 Determinants of order 2 |
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28
§4.2 Determinants of order n |
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30
§4.3 Properties of determinants §4.4 Summary--important facts about determinants |
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| Sunday | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday |
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2
§5.1 Eigenvalues and eigenvectors |
3 |
4
§5.2 Diagonizability |
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6
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7 |
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9
Handout Markov chains |
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11
§5.4 Invariant subspaces and the Cayley-Hamilton theorem |
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16
Review |
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18
MIDTERM II |
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20
§6.1 Inner products and norms |
21 |
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23
§6.2 The Gram-Schmidt orthogonalization process and orthogonal complements |
24 |
25
Thanksgiving Break No lecture |
26 |
27 |
28 |
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30 |
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| Sunday | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday |
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2
§6.3 The adjoint on a linear operator |
3 |
4
§6.4 Normal and self-adjoint operators |
5 |
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7
§6.5 Unitary and orthogonal operators and their matrices |
8 |
9
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10 |
11
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12
Reading period begins. |
| 13 |
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15
Final Exam period begins. |
16 FINAL EXAM 7:15--10:15 PM |
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19 |
| 20 |
21
Winter recess begins. |
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24 |
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