## MAT 342: Linear Algebra

## Fall 2019

Class Time | M,W,F 2:00pm – 2:50pm |

Class Location | Tempe – WXLRA 107 |

Instructor | Sébastien Motsch |

Office | WXLRA 836 |

smotsch@asu[dot]edu | |

Office Hours | M,W 11:00 – 12:00pm |

Class webpage | www.seb-motsch.com/teaching |

## Textbook

- Steven J. Leon,
*Linear algebra with applications*(8th or 9th edition) - (Supplementary) Gilbert Strang,
*Introduction to linear algebra*(5th edition)

### Course description

*Vector spaces*: linear systems, determinant, dimension*(Chap. 1-3)**Linear transformations*: matrix representation, orthogonality*(Chap. 4-5)**Matrix decomposition*: eigenvalues, diagonalization, SVD*(Chap. 6)*

The grading scale is:

- weekly homework (25%)
- three mid-terms (45%)
- one final (30%)

The first exam will be held on **Monday (09/23)** in class. The second exam will be on **Monday (10/21)**. The third exam will be on **Monday (11/25).**

### Class Schedule

Aug 23 – 30 | Linear systems, Matrix (chap. 1.1-1.3) |

Sep 2 – 6 | Matrix manipulation (chap. 1.4-1.5) |

Sep 9 – 11 | Determinant (chap. 2.1-2.3) |

Sep 13 – 18 | Vector spaces (chap. 3.1-3.3) |

Sep 20 – 23 | Revision + Exam 1 |

Sep 25 – 30 | Linear independence, Basis (chap. 3.3-3.6) |

Oct 3 – 7 | Linear transformations (chap. 4.1-4.3) |

Oct 9 – 16 | Orthogonality (chap. 5.1-5.2) |

Oct 18 – 21 | Revision + Exam 2 |

Oct 25 – Nov 1 | Least square problems (chap. 5.2-5.3) |

Nov 4 – 8 | Gram-Schmidt orthogonalization (chap. 5.4-5.6) |

Nov 11 – 15 | Eigenvalues/eigenvectors (chap. 6.1-6.2) |

Nov 18 – 20 | Differential equations, diagonalization (chap. 6.2-6.3) |

Nov 22 – 25 | Review + Exam 3 |

### Class homework

Aug 30 | chap 1.1: 1 bc, 4 abc, 6 efg, 7, 8, 10 (solution) |

Sep 6 | chap 1.2: 6, 9, 15, chap 1.3: 2, 9, 11, 13 (solution) |

Sep 13 | chap 1.4: 1, 3, 7, 9, 16 chap 1.5: 7, 8 (b,d) (solution) |

Sep 20 | chap 2.3: 1, 6, chap 3.1: 13, chap 3.2: 2, 4, 10, 13 (solution) |

Oct 4 | chap 3.3: 2, 6, 16, chap 3.4: 3, 8, 10, chap 3.5: 4, 5 (solution) |

Oct 11 | chap 3.5: 7, chap 3.6: 1, 8, chap 4.1: 2, 3, 6, chap 4.2: 5 (solution) |

Oct 18 | chap 4.2: 7, 8, chap 4.3: 1, 5, 13 chap 5.1: 5, 10 (solution) |

Nov 1 | chap 5.2: 2, 6, chap 5.3: 3, 4, 5, 6,chap 5.4: 16 (solution) |

Nov 13 | chap 5.4: 23, 28, chap 5.5: 2, 8, 12, 14, 30, chap 5.6: 1 (solution) |

Nov 20 | chap 5.6: 2, 4, 8, 12, chap 6.1: 1, 4, 8 |