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8/21 (Wed) Introduction. Systems of linear equations. (Sec.1.1) |
8/23 (Fri) Elementary row operations. (Sec.1.1) |
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8/26 (Mon) Echelon Form and Gaussian-Jordan Elimination.(Sec.1.2). |
8/28 (Wed) Consistent Systems of linear Equations. (Sec.1.3). |
8/30 (Fri) Matrix Operations. (Sec.1.5). |
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9/02 (Mon) NO CLASSES. Labor Day. |
9/04 (Wed) Algebraic Properties of Matrix operations. (Sec.1.6). |
9/06 (Fri) Linear Independence and Nonsingular Matrices. (Sec.1.7). |
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9/09(Mon) Matrix Inverses and Their Properties. (Sec.1.9) |
9/11 (Wed) Review for midterm 1. |
9/13 (Fri) Midterm #1. |
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9/16 (Mon) Vectors in Plane and in Space. (Sec.2.1,2.2) |
9/18 (Wed) The Dot Product. (Sec.2.3) |
9/20 (Fri) The Cross Product. (Sec.2.3) |
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9/23 (Mon) Introduction to Vector Spaces. (Sec.3.1) |
9/25 (Wed) Vector Space Properties of Rn. (Sec.3.2) |
9/27 (Fri) Examples of Subspaces. (Sec.3.3) |
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9/30 (Mon) Bases for Subspaces. (Sec.3.4) |
10/02 (Wed) Dimension. (Sec.3.5) |
10/04 (Fri) Vector Spaces. (Sec.5.2). |
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10/07 (Mon) Subspaces. (Sec.5.3) |
10/09 (Wed) Linear Independence and Bases. (Sec.5.4) |
10/11 (Fri) NO CLASSES. Autumn Break. |
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10/14 (Mon) Coordinates. (Sec.5.4) |
10/16 (Wed) Orthogonal Bases for Subspaces. (Sec.3.6) |
10/18 (Fri) Inner-Product Spaces, Orthogonal Bases. (Sec.5.6) |
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10/21 (Mon) Linear Transformations from Rn to Rm. (Sec.3.7) |
10/23 (Wed) Linear Transformations. (Sec.5.7) |
10/25 (Fri) Operations with Linear Transformations. (Sec.5.8) |
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10/28 (Mon) Matrix Representations for Linear Transformations. (Sec.5.9) |
10/30 (Wed) Review for midterm 2. |
11/01 (Fri) Midterm #2. |
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11/04 (Mon) Introduction to Determinants. (Sec.6.1) |
11/06 (Wed) Cofactor Expansions of Determinants. (Sec.6.2) |
11/08 (Fri) Elementary operations and Determinants. (Sec.6.3) |
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11/11 (Mon) NO CLASSES. Veterans Day observed. |
11/13 (Wed) . Cramer's Rule. (Sec.6.4) |
11/15 (Fri) The Eigenvalue Problem for 2x2 Matrices. (Sec.4.1) |
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11/18 (Mon) Determinants and the Eigenvalue Problem. (Sec.4.2,4.3) |
11/20 (Wed) Eigenvalues and Characteristic Polynomial. (Sec.4.4) |
11/22 (Fri) Eigenvectors and Eigenspaces. (Sec.4.5) |
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11/25 (Mon) Complex Eigenvalues and Eigenvectors. (Sec.4.6) |
11/27 (We) NO CLASSES. Thanksgiving. |
11/29 (Fri) NO CLASSES. Columbus Day observed. |
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12/02 (Mon) Similarity Transformations and Diagonalization. (Sec.4.7) |
12/04 (Wed) Review for the final. |
| 12/10 (Tue) FINAL, 10:00 - 11:45 AM |