General Information | Syllabus |

It will be updated as the class proceeds to reflect the actual progress we cover as well as the homework that will be assigned daily after class and due every friday at 12:00 PM.

Extra credit assignments: Computing/Proofwriting assignment 1, Computing assignment 2 Proofwriting assignment 2 Computing assignment 3 Proofwriting assignment 3

Actual syllabus

Lectures | Sections in Text | Brief Description | Practice homework | Turn-in homework |
---|---|---|---|---|

6/20 | 1.1 | Linear systems. | 1.1: 5,6,8,14,16,19,20; App: 33,34 |
1.1: 7,13,21,25 (due 6/27) |

6/21 (special time 8:00am) | 1.2 | Row reduction. | 1.2: 1,2,5,9,10,12,14 |
1.2: 11,13 |

6/23 | 1.3 1.4 |
Vectors, linear combinations Ax=b |
1.3: 12,13,14; App: 29,30;1.4: 6,8,11,12,14 |
1.3: 26; 1.4: 10,25 |

6/25 | 1.4 1.5 |
Matrix equations Solutions to homogeneous and non-homogeneous systems |
1.4: 17,18,19,20 1.5: 1,2,4,6,11,18,33 |
1.5: 3,12 |

6/27 | 1.6 | Applications | 1.6: 2, 3 (a,b), 4 (a), 7,8,9,14,15 |
1.6: 12 (due 7/4) |

6/30 | 1.7 | Linear dependence | 1.7: 11,12,14,15,16,17,18,19,31 |
1.7: 13,32 |

7/2 | 1.8 | Linear transformations. | 1.8: 4,5,10,12,32 |
1.8: 7,9,11,17,19,20,33 |

7/3 (x-hour) | 1.9 | The Matrix of a linear transformation | 1.9: 1,4,5,15,16,18,20 |
1.9: 3,17,19,25,27 (due 7/11) |

7/7 | 2.1 | Matrix algebra | 2.1: 6,7,8,9,12,28 |
2.1: 5,10,27 |

7/9 | 2.2 | Inverse of a matrix | 2.2: 2,4,7,8,33,34 |
2.2: 30,32,35 |

7/10 (x-hour) | 2.3 | Invertible matrix theorem; review | 2.3: 1,2,3,5,15,16,17,18,22 |
2.3: 6,8 (due 7/18) |

7/11 | 1.10, 2.4, 2.5, 2.6, 2.7 | Applications (not an exam topic) | See extra credit HW | |

7/14 | 2.8 | Subspaces of Rn and bases. | 2.8: 1,2,3,4,5,11,13,23,25 |
2.8: 12,18,24,26 |

7/16 | 2.9 3.1 |
Coordinates and dimension Determinants |
2.9: 3,5,9,11,13,16 3.1: 1-6 |
2.9: 4,6,10,12,14,15 |

7/18 | 3.1 3.2 3.3 |
Determinants Properties Applications |
3.1: 7,9,11,13 3.2: 5,7,9,11,13,21,23,25 3.3: 1,3,5,11,13 |
3.1: 10,12,14 (due 7/25) 3.2: 22 |

7/21 | 5.1 | Eigenvalues | 5.1: 3,4,6-12,15-20 |
5.1: 2,5,13,14 |

7/23 | 5.2 | Characteristic equation | 5.2: 3-5, 7-10, 12-17, 25 |
5.2: 6, 11 |

7/25 | 5.3 | Diagonalization | 5.3: 2,6,7,8,15,16,17,19,20 |
5.3: 1,3,4,5,9,10,11,12,13,14 (due 8/1) |

7/28 | 4.4, 4.7, 5.4 | Change of basis | 4.7: 9,105.4: 13-17 |
Review complex numbers (Appendix B) |

7/30 | 5.5 Off book |
Complex eigenvalues Jordan form |
5.5: 1-20Extra credit homework 3 (to be posted) |
Skim through the PageRank papers found here |

8/1 | 4.9 5.8 |
Markov chains. PageRank. Power method. |
4.9: 1-14Extra credit #3 5.8: 1-6 |
Review dot product and length for R2, R3 (see old calc books) |

8/4 | 6.1 6.2 |
Geometry in Rn Orthogonal sets |
6.1 :1-10, 12,13,15,16 6.2 :1-4,6-9, 17-20 |
6.1 :11, 14, 17,18 6.2 :5,10,21 |

8/6 | 6.2, 6.3 | Projections | 6.2: 11-13,16 6.3: 1-5,7,8,10,11,13-16 |
6.2:14,15 6.3: 6,9,12 |

8/7 (x-hour) | 6.5 | Least squares | 6.5: 1,3,5-10,12,14 |
6.5: 2,4,11,13 (due 8/15) |

8/8 | 6.6 7.1 |
Regression Orthogonal diagonalization |
6.6: 8a, 9a, 10a 7.1: 1-16,18,20-22 |
6.6: 3,4,7a 7.1: 17,19 |

8/11 | No class | |||

8/13 | 7.2 | Quadratic forms | 7.2: 1-6 |
7.2: 8 |

8/14 (x-hour) | 7.3 | Contrained optimization | 7.2: 9-147.3: 1-4, 7-10 |
7.3: 5,6 (note: any homework from now on is not to be turned in) |

8/15 | 7.4 | SVD | 7.4: 1-6,8,10,12 |
7.4: 7,9,11 |

8/18 | 7.5 | Applications of the SVD | 7.5: 2,4,8 |
7.5: 1,3,7,9 |

8/20 | Review |

Tentative syllabus

Lectures | Sections in Text | Brief Description | Practice homework | Turn-in homework |
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Nicolas Petit

Last updated August 18, 2014