Linear Algebra with Applications

General Information | Syllabus | HW Assignments | Course Resources |
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## Syllabus

The following is a**tentative**syllabus for the course. This page will be updated irregularly.

On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.

Lectures | Sections in Text | Brief Description |
---|---|---|

3/27 | 1.1 | Systems of Linear Equations |

3/29 | 1.2 | Row Reduction and Echelon Forms |

3/31 | 1.3, 1.4 | Vector Equations; Matrix Equations |

4/3 | 1.4, 1.5 | Matrix Equations; Solutions Sets of Linear Equations |

4/5 | 1.7 | Linear Independence |

4/7 | 4.1, 4.2 | Vector spaces, linear transformation, null space, column space |

4/10 | 4.2, 1.9 | Reading injectivity and surjectivity of $T: \mathbb R^n \to \mathbb R^m$ from the matrix |

4/12 | 1.9, 2.1 | Matrix Operations |

4/14 | 2.2 | Inverse of a Matrix |

4/17 | 2.3 | Invertible Matrix Theorem |

4/19 | 4.3 | Linear independent sets; bases |

4/20 | Midterm Exam I | 4:30-6:30pm |

4/21 | 2.9 | Dimension and rank |

4/24 | 4.4/4.7/5.4 (variant) | Coordinates, matrix of a transformation, change of basis |

4/26 | 4.7, 3.1 | Determinants and Properties |

4/28 | 3.2 | Properties of Determinants |

5/1 | 5.1, 5.2 | Eigenvalues and Characteritic Equation |

5/3 | 5.2, 5.3 | Characteristic Equation, Diagonalization |

5/5 | 5.3, 5.4 | Diagonalization and linear transformations |

5/8 | 4.9,5.8 | (optional) Intro to Markov Chains, Iteration Method for Eigenvalues |

5/10 | 6.1-6.2 | Inner products and Orthogonality |

5/11 | Midterm Exam II | 4:30-6:30pm |

5/12 | 6.3 | Projections |

5/15 | 6.4 | Gram-Schmidt Process |

5/17 | 7.1 | Diagonalization of Symmetric Matrices |

5/19 | 7.4 | Singular Value Decomposition |

5/22 | 7.4 | Singular Value Decomposition |

5/24 | 7.4, 7.5 | Other applications, e.g., Principal
Component Analysis, SVD and image processing, Facial Recognition, etc. |

5/26 | Wrap it up | |

5/29 | Memorial Day Holiday | No classes |

6/1 | Final Exam | 11:30 am - 2:30 pm |

T. R. Shemanske

Last updated July 11, 2017 09:35:00 EDT