Problem of the Week
Math Club
BUGCAT
Zassenhaus Conference
Hilton Memorial Lecture
BingAWM
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 |
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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 | ||
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 Rn | ||
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 |