The following is a tentative syllabus for the course. This page will be updated as changes occur.
Date | Section(s) | Topic(s) |
---|---|---|
3/26 | 1.1 | Systems of Linear Equations |
3/27 |   | Proof Workshop (get pdf solutions) |
3/28 | 1.2 | Row Reduction and Echelon Forms |
3/31 | 1.3 | Vector Equations |
4/2 | 1.4,1.5 | The Matrix Equation Ax=b; Solution Sets of Linear Systems |
4/3 |   | Application Workshop |
4/4 | 1.6 | Linear Independence |
4/7 | 1.7 | Introduction to Linear Transformations |
4/9 | 1.8 | The Matrix of a Linear Transformation |
4/10 |   | Proof Workshop (get pdf solutions) |
4/11 | 2.1,2.2 | Matrix Operations; The Inverse of a Matrix |
4/14 | 2.2,2.3 | The Inverse of a Matrix; Characterizations of Invertible Matrices |
4/16 |   | MIDTERM 1 |
4/17 |   | Application Workshop |
4/18 | 3.1,3.2 | Introduction to Determinants; Properties of Determinants |
4/21 | 4.1 | Vector Spaces and Subspaces |
4/23 | 4.2 | Null Spaces, Column Spaces, and Linear Transformations |
4/24 | 4.3 | Linearly Independent Sets; Bases |
4/25 |   | No Class |
4/28 | 4.4 | Coordinate Systems |
4/30 | 4.5 | The Dimension of a Vector Space |
5/1 |   | Application Workshop |
5/2 | 4.6 | Rank |
5/5 | 4.7 | Change of Basis |
5/7 | 5.1 | Eigenvectors and Eigenvalues |
5/8 |   | MIDTERM 2 |
5/9 | 5.2 | The Characteristic Equation |
5/12 | 5.3 | Diagonalization |
5/14 | 5.4 | Eigenvectors and Linear Transformations |
5/15 |   | Proof Workshop |
5/16 | 6.1 | Inner Product, Length, and Orthogonality |
5/19 | 6.2 | Orthogonal Sets |
5/21 | 6.3 | Orthogonal Projections |
5/22 |   | Application Workshop |
5/23 | 6.4 | The Gram-Schmidt Process |
5/28 |   | Review |