**Syllabus**

The following is
a tentative syllabus for the course. This page will be updated irregularly.
On the other hand, the Homework Assignments page will always be accurate.

Date | Section(s) from Textbook | Topic |

3/28 | 1.1 | Systems of Linear Equations |

3/30 | 1.2 | Row Reduction and Echelon Forms |

4/2 | 1.3 | Vector Equations |

4/4 | 1.4, 1.5 | The Matrix Equation Ax=b and Solution Sets of Linear Equations |

4/6 | 1.6 | Linear Independence |

4/9 | 1.7 | Intro to Linear Transformations |

4/11 | 1.8 | The Matrix of a Linear Transformation |

4/13 | 2.1-2.2 | Matrix Operations and the Inverse of a Matrix |

4/16 | 2.3, 3.1-3.2 | Characterizations of Invertible Matrices and Properties of Determinants |

4/18 | 4.1 | Introduction to Abstract Vector Spaces |

4/19 | MIDTERM 1 | |

(Don't forget: Abstract Vector Spaces will be covered on Midterm 2 and the final.) | ||

4/20 | 4.2 | Null Spaces, Column Spaces and Linear transformations |

4/23 | 4.3 | Linearly Independent Sets, Bases |

4/25 | 4.4 | Coordinate Systems |

4/27 | 4.5 | Dimension of a Vector Space |

4/30 | 4.6 | Rank |

5/2 | 4.7 | Change of basis |

5/4 | 5.1 | Eigenvalues and Eigenvectors |

5/7 | 5.2 | Characteristic Equation |

5/9 | 5.3 | Diagonalization |

5/10 | MIDTERM 2 (Bonus: Application 1-Computer Graphics) | |

5/11 | 5.4 | Eigenvectors and Linear Transformations |

5/14 | 6.1 | Inner Product, Length and Orthogonality |

5/16 | 6.2 | Orthogonal Sets |

5/17 | 6.3-6.3 | Orthogonal Projections/Gram-Scmidt Process |

5/21 | hand-out | Application 2: Markov chains |

5/23 | hand-out | Application 3: Geographic interpretation of eigenvalues |

5/25 | hand-out | Application 4: Wavelets |

5/30 | in-class notes | Application 5: Least Squares |

6/2 | In-class Final Exam | Cumulative - the final will cover all topics listed above except for the geographic interpretation of eigenvalues. |