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 |