Office: Armstrong Hall 408H

Office Hours: M 2:30pm-4:00pm, W 2:30pm-3:30pm, F 10:00am-11:00am, and by appointment

Class Meetings: MWF 12:30pm-1:20pm in Armstrong Hall 408H

No. | Date | Class Summary | Section(s) | Quiz | Quiz Soln | Comments |

1 | Aug 20 | Introduction; Systems of Linear Equations | 1.1 | - | - | HW1 assigned. |

2 | Aug 22 | Systems of Linear Equations; Method of Elimination | 1.1 | - | - | - |

3 | Aug 24 | Matrices | 1.2 | HW2 assigned. | ||

4 | Aug 27 | Linear Combinations; Matrix Multiplication | 1.2, 1.3 | - | - | - |

5 | Aug 29 | Row and column views of MM; MM and linear systems | 1.3 | - | - | - |

6 | Aug 31 | Algebraic Properties of Matrix Multiplication | 1.4 | HW3 assigned. | ||

7 | Sep 5 | More Proofs; Alg. Prop. of Transposition | 1.4 | - | - | - |

8 | Sep 7 | Special Types of Matrices; Inverses | 1.5 | HW4: evolving assignment. | ||

9 | Sep 10 | Inverses | 1.5 | - | - | - |

10 | Sep 12 | Solving Linear Systems | Ch 2 | - | - | Dr. Milans away |

11 | Sep 14 | Solving Linear Systems | Ch 2 | ** | ** | Dr. Milans away |

12 | Sep 17 | Solving Linear Systems | Ch 2 | - | - | Dr. Milans away |

13 | Sep 19 | Solving Linear Systems | Ch 2 | - | - | Dr. Milans away |

14 | Sep 21 | Elementary Matricies; invert a 3x3-matrix | 2.3 | ** | ** | HW4 due. |

15 | Sep 24 | Theorem 2.11 | 2.3 | - | - | - |

16 | Sep 26 | Review: Test 1 | 1.1-1.5, 2.1-2.3 | - | ||

17 | Sep 28 | Test 1 | 1.1-1.5, 2.1-2.3 | - | ||

18 | Oct 1 | Determinants: Definition | 3.1 | - | - | HW6 assigned. |

19 | Oct 3 | Determinants: Properties | 3.2 | - | - | - |

20 | Oct 5 | Determinants: More properties | 3.2 | HW6 due; HW7 assigned. | ||

21 | Oct 8 | Determinants: Cofactor Expansion | 3.3 | - | - | - |

22 | Oct 10 | Vectors in the Plane and in 3-space; Vector Spaces | 4.1,4.2 | - | - | - |

23 | Oct 12 | Vector Spaces: Examples | 4.2 | HW7 due; HW8 assigned. | ||

24 | Oct 15 | Vector Spaces; Subspaces | 4.2, 4.3 | - | - | - |

25 | Oct 17 | Subspaces | 4.3 | - | - | - |

26 | Oct 19 | Span | 4.4 | HW8 due; HW9 assigned. | ||

27 | Oct 22 | Linear Independence | 4.5 | - | - | - |

28 | Oct 24 | Review: Test 2 | 3.1-3.3, 4.1-4.4 | - | - | - |

29 | Oct 26 | Test 2 | 3.1-3.3, 4.1-4.4 | HW9 due. | ||

30 | Oct 29 | Linear Independence; Basis and Dimension | 4.5, 4.6 | - | - | HW10 assigned. |

31 | Oct 31 | Basis and Dimension | 4.6 | - | - | - |

32 | Nov 2 | Dimension | 4.6 | HW10 due; HW9 assigned. | ||

33 | Nov 5 | Rank of a Matrix | 4.9 | - | - | - |

34 | Nov 7 | Matrix Transformations; Linear Transformations | 1.6, 6.1 | - | - | - |

35 | Nov 9 | Linear Transformations | 6.1 | HW11 due; HW12 assigned. | ||

36 | Nov 12 | Linear Transformations | 6.1 | - | - | - |

37 | Nov 14 | Kernel and Range of a Linear Transform | 6.2 | - | - | - |

38 | Nov 16 | Kernel and Range of a Linear Transform | 6.2 | HW12 due. | ||

39 | Nov 26 | Matrix of a Linear Transformation | 6.3 | - | - | HW13 assigned. |

40 | Nov 28 | Review Test 3 | 4.5-4.6, 4.9, 1.6, 6.1-6.3 | - | - | - |

41 | Nov 30 | Test 3 | 4.5-4.6, 4.9, 1.6, 6.1-6.3 | HW13 due. | ||

42 | Dec 3 | Test 3 Discussion | - | - | - | HW14 assigned. |

43 | Dec 5 | Eigenvalues and Eigenvectors | 7.1 | - | - | - |

44 | Dec 7 | Class Review | - | - | - | HW14 due. |

- | Dec 12 | Final Exam: Wed Dec 12, 3pm-5pm | - | - | - | - |

milans@math.wvu.edu