Section | Topic | Homework | |

3.1 | Introduction to Linear Systems | 2, 22, 24, 26 | Part I: Linear Algebra |

3.2 | Matrices and Gaussian Elimination | 4, 8, 14, 28 | |

3.3 | Reduced Row-Echelon Matrices | 3, 10, 24, 35 | |

3.4 | Matrix Operations | 3, 10, 20, 24 | |

3.5 | Inverse of Matrices | 4, 12, 20, 28 | |

3.6 | Determinants | 2, 4, 12, 30, 40, 43 | |

4.1 |
The Vector Space R^{3} |
1, 6, 13, 16, 24, 26, 30 | |

4.2 |
The Vector Space R^{n}
& Subspaces |
3, 8, 16, 19 | |

4.3 | Linear Combination & Independence of Vectors | 1, 6, 12, 17, 26 | |

4.4 | Bases & Dimension for Vector Spaces | 3, 8, 13, 16, 22 | |

4.5 | Row and Column Spaces | 1, 7, 13, 15, 17, 25, 26 | |

6.1 | Introduction to Eigenvalues | 2, 15, 24, 28, 36 | |

6.2 | Diagonalization of Matrices | 2, 14, 25, 28 | |

6.3 | Applications involving Powers of Matrices | 2, 10, 20, 26, 36 | |

7.5 | Jordan form (pp 454-457) | 37, 38, 41, 43 | |

1.1 | Differential Equations and Mathematical Models | 2, 12, 22, 30, 36, 40 | PartII: Differential Equations |

1.2 | Integrals as General & Particular Solutions (page: 10-11) | 4, 6, 15, 18 | |

1.4 | Separable Equations & Applications | 1, 10, 24, 27, 33 | |

1.5 | Linear First-Order Equations | 4, 12, 24, 28, 32 | |

1.6 | Substitution Methods & Exact Equations | 2, 10, 22, 40, 60 | |

2.4 | Euler's Method | 3, 7, 12 | |

5.1 | Second-Order Linear Equations | 1, 11, 16, 19, 25, 28, 44 | |

5.2 | General Solutions of Linear Equations | 2, 8, 13, 24, 26 | |

5.3 | Homogeneous Equations with Constant Coefficients | 1, 4, 14, 22, 28, 33, 38 | |

5.5 | Method of Undetermined Coefficients | 4, 12, 26, 32, 36 | |

7.1 | First-Order Systems & Applications | 2, 8, 13, 18, 21 | |

7.2 | Matrices & Linear Systems | 2, 4, 12, 16, 20, 25 | |

7.3 | The Eigenvalue Method for Linear Systems | 4, 9, 18, 24, 26 | |

7.5 | Multiple Eigenvalue Solutions (contd.) | 4, 10, 16, 28, 30 |