Date | Session | Topic | WeBWorK |
---|---|---|---|
1/29 | 1 | 1.2 Systems of Equations, Algebraic Procedures (Gaussian Elimination) | Systems of Linear Equations |
1/31 | 2 | 1.2 Systems of Equations, Algebraic Procedures (continued) | Gaussian Elimination |
2/5 | 3 | 2.1 Matrix Addition and Scalar Multiplication 2.2 Matrix Multiplication 2.3 The Transpose | Matrix Operations |
2/7 | 4 | 2.4 The Identity Matrix and Matrix Inverses 2.5 Finding the Inverse of a Matrix | The Inverse of a Matrix |
2/14 | 5 | 2.5 Finding the Inverse of a Matrix (continued) | Characterizations of Invertible Matrices |
2/21 | 6 | 2.6 Elementary Matrices | Elementary Matrices |
2/22 | 7 | 3.1 Basic Techniques and Properties of Determinants | Introduction to Determinants |
2/26 | 8 | 3.1 Basic Techniques and Properties of Determinants (continue) | Properties of Determinants |
2/28 | 9 | Exam 1 (sessions 1-7) | |
3/4 | 10 | 3.2 Applications of the Determinant (Cramer’s Rule) | Cramer’s Rule |
3/6 | 11 | 4.1-4.2 Vectors in Rn 4.3 Length of a Vector | Vectors in Space Norm and Distance |
3/11 | 12 | 4.4 Dot Product, Projections | Dot Product Projections |
3/13 | 13 | 4.5 Cross Product | Cross Product |
3/18 | 14 | 4.6 Parametric Lines 4.7 Planes in R^3 | Parametric Lines Planes in R^3 |
3/20 | 15 | 4.8 Spanning and Linear Independence in R^n | Spanning Sets |
3/25 | 16 | 4.8 Spanning and Linear Independence in R^n (continued) | Linear Independence |
3/27 | 17 | Review | |
4/1 | 18 | Midterm (1-16) | |
4/3 | 19 | 4.9 Subspaces, Bases and Dimension | Subspaces of R^n Coordinates and Basis |
4/8 | 20 | 4.10 Row Space, Column Space and Null Space of a Matrix | Row Column and Null Spaces |
4/10 | 21 | 4.11 Orthogonal and Orthonormal Sets and Matrices | Orthogonal Sets |
4/15 | 22 | 5.1 Linear Transformations | Introduction to Linear Transformations |
4/17 | 23 | 7.1 Eigenvalues and Eigenvectors of a Matrix | Eigenvectors and Eigenvalues The Characteristic Equation |
5/1 | 24 | 7.2 Diagonalization | Diagonalization |
5/6 | 25 | Exam 3 (19-23) | |
5/8 | 26 | 7.3 Raising a Matrix to a Higher Power | |
5/13 | 27 | 7.4 Orthogonal Diagonalization | |
5/15 | 28 | 7.4 Quadratic Forms | |
5/20 | 29 | Review | |
5/22 | 30 | Final Examination |
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