**Problem of the Week**

**Math Club**

**BUGCAT 2020**

**Zassenhaus Conference**

**Hilton Memorial Lecture**

people:crockett:teaching

**Instructor:** Eran Crockett

**Email:** crockett@math.binghamton.edu

**Office:** WH 332

**Office Hours:** W 9:00 - 12:00

(subject to change and adjustment at my discretion)

Week | Dates | Sections | Topics |
---|---|---|---|

1 | Aug 21–23 | 1.1 | Systems of Linear Equations |

1.2 | Row Reduction and Echelon Forms | ||

2 | Aug 26–30 | 1.3 | Vector Equations |

1.4 | The Matrix Equation Ax = b |
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1.5 | Solution Sets of Linear Equations | ||

1.7 | Linear Dependence | ||

1.8 | Introduction to Linear Transformations | ||

3 | Sep 2–6 | No Class | Labor Day |

1.9 | The Matrix of a Linear Transformation | ||

2.1 | Matrix Operations | ||

2.2 | The Inverse of a Matrix | ||

4 | Sep 9–13 | 2.3 | Characterizations of Invertible Matrices |

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2.8 | Subspaces of R^{n} |
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5 | Sep 16-20 | 2.9 | Dimension and Rank |

3.1 | Introduction to Determinants | ||

3.2 | Properties of Determinants | ||

6 | Sep 23-27 | Review | Exam 1 Review: Chapters 1, 2, and 3 |

Exam 1 | Chapters 1, 2, and 3 | ||

4.1 | Vector Spaces and Subspaces | ||

7 | Sep 30–Oct 4 | No Class | Rosh Hashanah |

4.2 | Null Spaces, Column Spaces, and Linear Transformations | ||

4.3 | Linearly Independent Sets; Bases | ||

8 | Oct 7-11 | 4.4 | Coordinate Systems |

No Class | Yom Kippur | ||

4.5 | The Dimension of a Vector Space | ||

4.6 | Rank | ||

9 | Oct 14-18 | 4.7 | Change of Basis |

5.1 | Eigenvectors and Eigenvalues | ||

5.2 | The Characteristic Equation | ||

10 | Oct 21-25 | 5.3 | Diagonalization |

5.4 | Eigenvectors and Linear Transformations | ||

11 | Oct 28-Nov 1 | Review | Exam 2 Review: Chapters 4 and 5 |

Exam 2 | Chapters 4 and 5 | ||

6.1 | Inner Product, Length, and Orthogonality | ||

12 | Nov 4-8 | 6.2 | Orthogonal Sets |

6.3 | Orthogonal Projections | ||

13 | Nov 11-15 | 6.4 | The Gram-Schmidt Process |

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14 | Nov 18-22 | 6.7 | Inner Product Spaces |

7.1 | Diagonalization of Symmetric Matrices | ||

Review | Exam 3 Review: Chapter 6 | ||

15 | Nov 25-29 | Exam 3 | Chapter 6 |

No Class after 1:00 | Thanksgiving break | ||

No Class | Thanksgiving break | ||

16 | Dec 2-4 | 7.2 | Quadratic Forms |

Review | Final exam review | ||

17 | Dec 13 | Final Exam from 12:50 to 2:50 in GW69EX |

people/crockett/teaching.txt · Last modified: 2019/11/22 13:39 by crockett

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