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Tuesday, July 12 |
Sections 1.1 (Introduction to Linear Systems) and 1.2 (Matrices, Vectors, and Gauss-Jordan Elimination) |
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Wednesday, July 13 |
Section 1.3 (Solutions of Linear Systems; Matrix Algebra) |
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Thursday, July 14 |
Sections 2.1 (Introduction to Linear Transformations and Their Inverses) and 2.2 (Linear Transformations in Geometry) |
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Friday, July 15 |
Sections 2.3 (The Inverse of a Linear Transformation) and 2.4 (Matrix Products) |
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Monday, July 18 |
Section 3.1 (Image and Kernel of a Linear Transformation) |
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Tuesday, July 19 |
Sections 3.2 (Subspaces of Rn; Bases and Linear Independence) and 3.3 (The Dimension of a Subspace of Rn) |
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Wednesday, July 20 |
Section 3.4 (Coordinates) and Review for Exam I |
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Thursday, July 21 |
Exam I:
Chapters 1, 2, & 3 |
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Friday, July 22 |
Section 4.1 (Introduction to Linear Spaces) |
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Monday, July 25 |
Sections 4.2 (Linear Transformations and Isomorphisms) and 4.3 (The Matrix of a Linear Transformation) |
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Tuesday, July 26 |
Sections 4.3 and 5.1 (Orthogonal Projections and Orthonormal Bases) |
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Wednesday, July 27 |
Sections 5.1 and 5.2 (Gram-Schmidt Process and QR Factorization) |
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Thursday, July 28 |
Sections 5.3 (Orthogonal Transformations and Orthogonal Matrices) and 5.4 (Least Squares and Data Fitting) |
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Friday, July 29 |
Sections 5.4 and Section 5.5 (Inner Product Spaces) |
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Monday, August 1 |
Sections 6.1 (Introduction to Determinants) and Review for Exam II |
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Tuesday, August 2 |
Exam II:
Chapters 4 & 5 |
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Wednesday, August 3 |
Section 6.2 (Properties of the Determinant |
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Thursday, August 4 |
Section 6.3 (Geometrical Interpretations of the Determinant; Cramer’s Rule) |
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Friday, August 5 |
Sections 7.1 (Dynamical Systems and Eigenvectors) |
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Monday, August 8 |
Sections 7.2 (Finding the Eigenvalues of a Matrix) and 7.3 (Finding the Eigenvectors of a Matrix) |
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Tuesday, August 9 |
Sections 7.3 and 7.4 (Diagonalization) |
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Wednesday, August 10 |
Section 7.5 (Complex Eigenvalues) |
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Thursday, August 11 |
Section 7.6 (Stability) and Review for Exam III |
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Friday, August 12 |
Exam III:
Chapters 6 & 7 |