Linear Algebra

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 |
---|---|---|

3/30 | 1.1, 1.2 | Introduction and Vector Spaces |

4/1 | 1.2, 1.3 | Vector Spaces and Subspaces |

4/2 (x-hour) | Proofs and Induction | |

4/3 | 1.3, 1.4 | Subspaces, Linear combinations |

4/6 | 1.4, 1.5 | Systems of Linear Equations, Linear Independence and Dependence |

4/8 | 1.6 | Bases and Dimension |

4/9 (x-hour) | ||

4/10 | 1.6 | Bases and Dimension |

4/13 | 2.1 | Linear Transformations, Nullspace and Range |

4/15 | 2.1 | Linear Transformations, Nullspace and Range |

4/16 (x-hour) | ||

4/17 | 2.2 | Matrix Representations of a linear transformation |

4/20 | 2.3 | Matrix Representations of Compositions of linear maps: matrix multiplication |

4/22 | 2.4 | Isomorphism and Invertibility |

4/23 | Midterm Exam I | All material through 2.2 |

4/24 | 2.5 | Change of Basis |

4/27 | 3.1,3.2 | Elementary Matrix Operations and Matrices |

4/29 | 3.2,3.3 | Rank of a Matrix and Inverses |

4/30 (x-hour) | ||

5/1 | 3.3,3.4 | Systems of Linear Equations |

5/4 | 4.2-4.4 | An overview of determinants |

5/6 | 5.1 | Eigenvalues and Eigenvectors |

5/7 (x-hour) | ||

5/8 | 5.2 | Diagonalizability |

5/11 | 5.2 | More on diagonalizability |

5/13 | 2.7, 5.2 | Applications to differential equations |

5/14 | Midterm Exam II | Material through 5.2 (no differential equations) |

5/15 | 5.3 | Matrix Limits and Markov Chains |

5/18 | 6.1 | Inner Product Spaces and Norms |

5/20 | 6.2 | Gram-Schmidt Orthogonalization |

5/21 (x-hour) | ||

5/22 | 6.3 | The Adjoint of a Linear Transformation |

5/25 | Memorial Day Holiday | No classes |

5/27 | 6.3 | Linear Regression; minimal solutions |

5/28 (x-hour) | ||

5/29 | 6.5 | Unitary/Orthogonal Diagonalization |

6/1 | 6.5 | Unitary/Orthogonal Diagonalization; QR factorization |

6/5 | Final Exam | 8-11am |

T. R. Shemanske

Last updated June 01, 2015 08:27:44 EDT