Date |
Topics |

1/9/18 |
Introduction, Review of
Systems of Linear Equations |

1/11/18 |
Systems of Linear
Equations (continued), Matrices |

1/16/18 |
Elementary Row
Operations, Row Reduction and Echelon Forms, Pivot
Positions |

1/18/18 |
Uniqueness of Reduced Echelon Form, Existence and Uniqueness of Solutions |

1/23/18 |
Vectors in n-dimensional
space, Linear Combinations, The Span of a Set of
Vectors |

1/25/18 |
The Matrix Equation Ax=b,
Existence of Solutions of Ax=b |

1/30/18 |
Solution Sets of Linear
Systems, Homogeneous and Nonhomogeneous Systems,
Solution Sets in Parametric Vector Form |

2/1/18 |
Linear Independence |

2/6/18 |
Span and Linear
Independence (Pop Quiz), Linear Transformations |

2/8/18 |
More on Linear
Transformations, One-to-one and Onto Mappings |

2/13/18 |
Matrix Operations |

2/15/18 |
The Inverse of a Matrix |

2/20/18 |
The Invertible Matrix
Theorem |

3/6/18 |
Vector Spaces,
Subspaces, The Column Space of a Matrix |

3/8/18 |
The Null Space of a
Matrix, Bases |

3/20/18 |
More on Bases, Dimension
and Rank |

3/22/18
(Part 1) |
Determinants |

3/22/18
(Part 2) |
Properties of
Determinants |

3/27/18 |
Properties of
Determinants, Eigenvectors and Eigenvalues |

3/29/18 |
Eigenvalues and
Eigenvectors (Continued), The Characteristic Equation |

4/3/18 |
Inner Product, Length,
Orthogonality, Orthogonal Subspaces |

4/5/18 |
Orthogonal &
Orthonormal Sets, Orthogonal Basis, Orthogonal
Projections |

4-10-18 |
Orthogonal Matrices, The
Orthogonal Decomposition Theorem, The Best
Approximation Theorem |