Math 24 - Spring 2008
Dartmouth College
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This is a tentative syllabus subject to change at my discretion without prior notification.
Sections |
Brief Description |
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Week 1 |
1.2, 1.3, 1.4, 1.5 |
Intro to proofs and
vectors spaces, linear dependence and linear independence. |
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Week 2 |
1.6, 2.1, 2.2, 2.3 |
Bases and
dimension. Linear transformations, matrix representations of linear
transformations. |
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Week 3 |
2.4, 2.5, 3.1 |
Isomorphisms.
Change of coordinate matrix. Elementary Matrices. |
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Week 4 |
3.2, 3.3, 3.4 |
Rank of a matrix,
matrix inverses, systems of linear equations. Determinants. |
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Week 5 |
4.1-4.4 |
Determinants. |
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Week 6 |
5.1, 5.2 |
Eigenvalues and eigenvectors, diagonalizability. |
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Week 7 |
5.4, 6.1, 6.2 |
Cayley-Hamilton
Theorem, Inner producs and Norms, Gram-Schmidt orthogonalization Process |
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Week 8 |
6.3, 6.5 |
The adjoint of a
linear operator, unitary and orhogonal operators. |
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Week 9 |
6.6, 6.7 |
Orthogonal
projections and spectral theorem, bilinear and quadratic forms. |
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Week 10 |
7.1 |
Jordan Canonical
Form. |