# Math 0520: Introductory Linear Algebra

**Contents**

## Course documents

- Summary of learning objectives [printable]
- Learning resources for Math 520
- A little set theory
- Guide to Writing Proofs
- Syllabus

## Class notes and videos

Topic | Notes | Videos | |
---|---|---|---|

Linear Systems | Th 01/26 | ||

Vectors and Matrices | Tu 01/31 | Th 02/02 | [3b1b] |

Applications, Linear independence | Tu 02/07 | Th 02/09 | |

Linear transformations | Tu 02/14 | Th 02/16 | [3b1b] [3b1b] [3b1b] |

Matrix Inverses | [break] | Th 02/23 | [3b1b] |

Linear subspaces | Tu 02/28 | [review] | [3b1b] |

Determinants | Tu 03/07 | Th 03/09 | [3b1b] |

Abstract Vector Spaces | Tu 03/14 | Th 03/16 | [ssw] [ssw] [ssw] |

Basis and Dimension | Tu 03/21 | Th 03/23 | [ssw] [ssw] [ssw] [ssw] |

Change of basis and eigenvectors | Tu 04/04 | Th 04/06 | [3b1b] [ssw] [ssw] [ssw] [ssw] |

Diagonalization | Tu 04/11 | Th 04/13 | [ssw] [ssw] [ssw] [ssw] |

Complex eigenvalues and Inner products | Tu 04/18 | Th 04/20 | [ssw] [ssw] [ssw] [ssw] |

Orthogonal Projection, Gram Schmidt, Least Squares Approximation | Th 04/25 | Th 04/27 | [ssw] [ssw] [ssw] [ssw] |

[review] | [review] | [ssw] [ssw] [ssw] [ssw] |

## Homework problems

- Homework 1 [solution]
- Homework 2 [solution]
- Homework 3 [solution]
- Homework 4 [solution]
- Homework 5 [solution]
- Homework 6 [solution]
- Homework 7 [solution]
- Homework 8 [solution]
- Homework 9 [solution]
- Homework 10 [solution]
- Homework 11 [solution]

## Exams

### Midterm I

### Midterm II

- Midterm II Practice Problems [solution]
- Practice Midterm II [solution]
- Review Session 1 2
- Midterm II [solution]
- Midterm II Alternate [solution]

### Final Exam

- Final Exam Review Sessions 1 2 3
- Practice Final [solution]
- Final Exam Solutions

## Quizzes

## Computational resources

- Instructions for the course Julia package (for performing matrix calculations).