**Course:** Linear Algebra

**Time:** TH, 8:30-9:45

**Location:** Physics 259

**Instructor:** Paul Bendich

Date | Section(s) | Topics | HW due |
---|---|---|---|

1/9/14 | 1.1,1.2 | Intro, Vectors in n-space | |

1/14/14 | 1.2,1.3 | Geometry in n-space | |

1/16/14 | 1.4 | Gaussian elimination | 1.1: 6(a,c,g), 7, 8, 9, 21, 22, 23, 25, 29 1.2: 1(b,d,g), 2(b,d,g), 4, 9, 11, 13 (no geometric interpretation necessary), 16, 18 |

1/21/14 | 1.4 | Gaussian Elimination | |

1/23/14 | 1.5 | Theory of Linear Systems | 1.3: 1(a,c,f), 3(a,d,e), 5, 8, 10, 12 1.4: 1, 3(a--f), 4(d,f), 10, 11, 12, 13 |

1/28/14 | 1.5 | Theory of Linear Systems, Curve-fitting, Difference Equations | |

1/30/14 | 2.1,2.2 | Matrix operations, Matrix-vector mult. as lin. trans. | 1.5: 1, 2(a, b), 3(a, c), 4a, 6, 10, 12, 13, 14 1.6: 5, 7, 9, 11 |

2/4/14 | 2.2,2.3 | Linear Transformations | |

2/6/14 | 2.4,2.5 | Elementary matrices, Transposes |
2.1: 1(a, c, f), 2, 5, 6, 7, 8, 12(a, b, d), 14 2.2: 5, 7, 8 2.3: 1(b, d, f), 2(a, c, d), 4, 8, 11, 13, 16 |

2/11/14 | 3.1,3.2 | Subspaces | |

2/18/14 | 3.2 | Four Fundamental Subspaces |
2.4: 7, 12 2.5: 1(a,f,j), 4, 8, 9, 12, 15, 19(a,b), 22, 23 3.1: 1, 2(a,c,d), 6, 9(b,c), 10, 12, 13, 14 |

2/20/14 | 3.3 | Linear Independence | |

2/25/14 | FIRST EXAM | FIRST EXAM | FIRST EXAM |

2/27/14 | 3.3,3.4 | Bases | 3.2: 1, 2(a,b), 10, 11 3.3 1, 2, 8, 10, 14, 15, 19, 21, 22 |

3/4/14 | 3.4 | Bases for fundamental subspaces | |

3/6/14 | 3.6 | Abstract vector spaces | |

3/18/14 | 3.6 | Abstract inner product spaces | 3.3: 5(a,b), 11 3.4: 3(a, b, d), 4, 8, 17, 20, 24 3.6: 1, 2(a, c, d), 3(a, c, f), 4, 6(a, b) |

3/20/14 | 4.1 | Least squares, Projections | |

3/25/14 | 4.2 | Orthonormal bases, Gram-Schmidt | 3.6: 9, 13, 14(b, c), 15(a, b) 4.1: 1(a, b), 3, 6, 7, 9, 11, 13, 15 |

3/27/14 | 4.3 | Change of Basis | |

3/29/14 | 4.4 | Linear Trans. between abstract vector spaces | 4.2: 2(b,c), 3, 6, 7(a, b), 8a, 9a, 11, 12(a, b) 4.3: 3, 7, 9, 12, 18, 19, 20, 21 |

4/1/14 | 5.1 | Determinants | |

4/3/14 | 5.2 | Determinant Formulae | 4.4: 2, 5, 7, 8, 11, 13,14 5.1: 1(a, b, c), 2, 3, 4, 7, 10, 11 |

4/8/14 | SECOND EXAM | SECOND EXAM | SECOND EXAM |

4/10/14 | 6.1,6.2 | Eigenstuff | 5.2: 1a, 3, 4, 5(a,c,f), 7, 8, 10 |

4/15/14 | 6.2,6.3 | Eigenstuff, Markov Processes | |

4/17/14 | 6.4 | The spectral theorem | 6.1: 1 (do as many as you can stand!),2,3,4,6,10,12,14 6.2: 1 (do as many as you can stand!), 3, 4, 6, 11. 16 (a-c) |

4/22/14 | PageRank, Principal components analysis | |