Update 11/18 for the rest of the semester:
| Week | Day | Date | Session | Topic | WeBWorK |
|---|---|---|---|---|---|
| 12 | Mon | 11/18 | 22 | 4.10 Row Space, Column Space and Null Space of a Matrix | Row Column and Null Spaces |
| Wed | 11/20 | 23 | 5.1 Linear Transformations 5.2 The Matrix of a Linear Transformation I | Introduction to Linear Transformations | |
| 13 | Mon | 11/25 | 24 | 5.3 Properties of Linear Transformations (Composition of Transformations) | |
| 14 | Mon | 12/2 | 25 | Exam 3 (4.8, 4.9, 4.10, 5.1, 5.2, 5.3) | |
| Wed | 12/4 | 26 | 5.9. The Coordinates of a Vector Relative to a Basis (Change of Coordinates) 5.10 The Matrix of a Linear Transformation II | Linear Transformations Relative to Basis | |
| 15 | Mon | 12/9 | 27 | 7.1 Eigenvalues and Eigenvectors of a Matrix 7.2 Diagonalization (Part 1) | Eigenvectors and Eigenvalues The Characteristic Equation |
| Wed | 12/11 | 28 | 7.2 Diagonalization (Part 2) 7.3 Raising a Matrix to a Higher Power | Diagonalization | |
| 16 | Mon | 12/16 | 29 | Review | |
| Wed | 12/18 | 30 | Final Examination |
| Date | Session | Topic | WeBWorK |
|---|---|---|---|
| 8/28 | 1 | 1.2 Systems of Equations, Algebraic Procedures (Gaussian Elimination) | Systems of Linear Equations |
| 9/4 | 2 | 1.2 Systems of Equations, Algebraic Procedures (continued) | Gaussian Elimination |
| 9/9 | 3 | 2.1 Matrix Addition and Scalar Multiplication 2.2 Matrix Multiplication 2.3 The Transpose | Matrix Operations |
| 9/11 | 4 | 2.4 The Identity Matrix and Matrix Inverses 2.5 Finding the Inverse of a Matrix | The Inverse of a Matrix |
| 9/16 | 5 | 2.5 Finding the Inverse of a Matrix (continued) | Characterizations of Invertible Matrices |
| 9/18 | 6 | 2.6 Elementary Matrices | Elementary Matrices |
| 9/23 | 7 | 3.1 Basic Techniques and Properties of Determinants | Introduction to Determinants |
| 9/25 | 8 | 3.1 Basic Techniques and Properties of Determinants (continue) | Properties of Determinants |
| 9/30 | 9 | Exam 1 (sessions 1-7) | |
| 10/7 | 10 | 3.2 Applications of the Determinant (Cramer’s Rule) | Cramer’s Rule |
| 10/9 | 11 | 4.1-4.2 Vectors in Rn 4.3 Length of a Vector | Vectors in Space Norm and Distance |
| 10/15 | 12 | 4.4 Dot Product, Projections | Dot Product Projections |
| 10/16 | 13 | 4.5 Cross Product | Cross Product |
| 10/21 | 14 | 4.6 Parametric Lines 4.7 Planes in R^3 | Parametric Lines Planes in R^3 |
| 10/23 | 15 | 4.8 Spanning and Linear Independence in R^n | Spanning Sets |
| 10/28 | 16 | 4.8 Spanning and Linear Independence in R^n (continued) | Linear Independence |
| 10/30 | 17 | Review | |
| 11/4 | 18 | Midterm (1-16) | |
| 11/6 | 19 | 4.9 Subspaces, Bases and Dimension | Subspaces of R^n Coordinates and Basis |
| 11/11 | 20 | 4.10 Row Space, Column Space and Null Space of a Matrix | Row Column and Null Spaces |
| 11/13 | 21 | 4.11 Orthogonal and Orthonormal Sets and Matrices | Orthogonal Sets |
| 11/18 | 22 | 5.1 Linear Transformations 5.2 The Matrix of a Linear Transformation I | Introduction to Linear Transformations |
| 11/20 | 23 | 5.9. The Coordinates of a Vector Relative to a Basis | |
| 11/25 | 24 | 5.10 The Matrix of a Linear Transformation II | |
| 12/2 | 25 | Exam 3 (19-23) | |
| 12/4 | 26 | 7.1 Eigenvalues and Eigenvectors of a Matrix | Eigenvectors and Eigenvalues The Characteristic Equation |
| 12/9 | 27 | 7.2 Diagonalization | Diagonalization |
| 12/11 | 28 | 7.3 Raising a Matrix to a Higher Power | |
| 12/16 | 29 | Review | |
| 12/18 | 30 | Final Examination |
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