General Information | Syllabus |

On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.

Here is a downloadable version of the syllabus. Here is a downloadable list of homework problems.

Lectures | Sections in Text | Brief Description |
---|---|---|

3/24 | 1.1 | Linear systems. HW 1 assigned - 1.1: 2, 4, 14, 16, 18, 20,
33, 34 (extra credit). 1.2: 2, 4, 8, 14, 20, 33. 1.3: 2, 4, 10, 14, 18,
24, 28, 29. |

3/25 (x-hour) | 1.2 | Row reduction. |

3/26 | 1.2 | Vectors; vector equations. |

3/28 | 1.3 | Ax=b; solution sets. |

3/31 | 1.4, 1.5 | Here are solutions to the first quiz. Homogeneous equations. Applications. HW 1 due. HW 2 assigned - 1.4: 1, 4, 9, 10, 13, 16, 18, 26, 35. 1.5 : 1, 6, 8, 12, 20, 22, 24.
1.6 3, 12. 1.7 : 1, 5, 8, 10, 14, 21, 23, 24, 38. 1.8 : 1, 7, 9,
13, 14, 15, 16, 17 |

4/1 (x-hour) | 1.6 | Network flow |

4/2 | 1.7 | Linear independence |

4/4 | 1.7, 1.8 | Linear transformations. |

4/7 | 1.9 | The matrix of a linear transformation. Applications. Solutions to second quiz . HW 2 due. HW 3 assigned - 1.8: 4, 6, 12, 24, 30, 31, 32. 1.9: 2, 4, 8, 12, 16, 18, 22, 26, 30. 1.10: 5, 11a.
2.1: 2, 10, 14, 16, 24, 25, 27. 33 (extra credit) 2.2: 2, 4, 6, 7, 9, 11, 14, 15, 30.
2.3: 2, 4, 6, 11, 15, 18, 23, 30, 34. |

4/8 (x-hour) | 1.10 | Applications to difference equations. |

4/9 | 2.1 | Matrix algebra . |

4/11 | 2.2, 2.3 | Inverse of a matrix. Characterization of invertible matrices. |

4/14 | 2.5 | Matrix factorizations. HW 3 due. HW 4 assigned - 2.5: 2, 4, 19 (extra credit). 1.10: 9, 10, 11b.
3.1: 1, 3, 5, 7 (show your work in the cofactor expansion), 20, 22, 26, 28, 30, 34, 38.
3.2: 2, 4, 6, 21, 25, 27, 28, 39, 40. 3.3:20, 24. 2.6: 5,7. 4.1: 2, 6, 19, 20. |

4/15 (x-hour) | 3.1, 3.2, 3.3 | Determinants. |

4/16 | Review for midterm. Midterm I: Thursday 6-8 PM | |

4/18 | 4.1, 2.8 | Vector spaces, subspaces. Subspaces of R^n. Solutions to the third quiz |

4/21 | 4.2 | Null spaces. HW 4 due. HW 5 assigned - 2.8: 6, 14, 22, 24. 4.1:
10, 12, 32. 4.2: 2, 4, 6, 12, 24, 25, 26, 33, 34. 4.3:4, 6, 8, 10, 14, 16, 24, 33.
4.4:4, 6, 8, 10, 12, 14, 22, 23, 30. 4.5: 4, 14. |

4/22 (x-hour) | 4.3 | Linear independence. |

4/23 | 4.4 | Coordinate systems. |

4/25 | 4.5 | Dimension of a vector space. |

4/28 | 4.6 | Rank of a matrix. HW 5 due. HW 6 assigned - 4.5: 13, 21, 23.
4.6:2, 4, 6, 12, 16, 27, 28. 4.7: 2, 6, 10. 5.1: 2, 6, 8, 12, 16, 24, 26, 29. |

4/29 (x-hour) | 4.6, 2.9 | Dimension and rank. |

4/30 | 4.7 | Change of basis. |

5/2 | 5.1 | Eigenvectors. |

5/5 | 5.2 | The characteristic equation. HW 6 due. HW 7 assigned - 5.2:
4, 8, 12, 16, 18, 22, 25. 5.3: 2, 8, 14, 16, 20, 22, 24. 5.4: 2, 8, 12, 16, 17, 24 |

5/6 (x-hour) | 5.3 | Diagonalization |

5/7 | Review for midterm. Midterm II: Thursday 6-8 PM | |

5/9 | 5.4 | Eigenvectors and linear transformations. |

5/12 | 4.9 | Applications to Markov chains and PageRank. HW 7 due. HW 8 assigned (Mathematica) - 4.9: 15, 16. 5.6: 1, 2, 7, 8, 9. 5.8: 2, 7-10, 12, 18.
6.1: 1-8, 10, 11, 14, 16, 17, 24, 26, 30. |

5/13 (x-hour) | 5.6 | Application to discrete dynamical systems. |

5/14 | 5.8 | Iterative estimates of eigenvalues. |

5/16 | 6.1 | Inner product spaces |

5/19 | 6.2 | Orthogonal sets, orthogonal projections. HW 8 due. HW 9 assigned - 6.2: 2, 6, 8, 10, 12, 14, 16 20, 22, 35, 36. 6.3: 2, 6, 10, 14, 25, 26.
6.4: 4, 8, 10, 16. 6.5: 2, 6, 16. 6.6: 4, 7, 10, 12 |

5/20 (x-hour) | 6.4 | Gram-Schmidt. |

5/21 | 6.5, 6.6 | Least squares. Applications to linear models. |

5/23 | Final review. | |

5/26 | HW 9 due. | |

5/31 | Final exam: 11:30 AM. |

Danny W. Crytser

Last updated July 18, 2017 09:28:19 EDT