COURSE INFO
SCHEDULE
SYLLABUS
HOMEWORK
OFFICE HOURS
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Math 300, Fall 2007
Linear Algebra
Syllabus
Daily topics are subject to change.
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Tuesday, 8/28: |
Systems of Linear Equations and Row Operations
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Thursday, 8/30: |
Matrix Notation
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Friday, 8/31: |
Reduction into Echelon Form
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Tuesday, 9/4: |
Vectors and Equations
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Thursday, 9/6: |
Linear Combinations and Vector Spaces
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Friday, 9/7: |
Quiz 1 and Solving Ax=b
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Tuesday, 9/11: |
Linear Systems
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Thursday, 9/13: |
Applications of Linear Systems
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Friday 9/14: |
Linear Independence
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Tuesday 9/18: |
Linear Transformations
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Thursday 9/20: |
Matrix of a Linear Transformation
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Friday 9/21: |
Quiz 2 and One-to-One and Onto (or how to dress your newborn)
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Tuesday 9/25: |
Linear Models
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Thursday 9/27: |
Matrix Operations: Addition and Multiplication
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Friday 9/28: |
Matrix Inversion
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Tuesday 10/2: |
More on Invertible Matrices
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Thursday 10/4: |
Factorization of Matrices
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Friday 10/5: |
Quiz 3 and Selected Applications
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Tuesday, 10/9: |
No Class-Fall Break
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Thursday, 10/11: |
Review for Midterm
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Friday, 10/12: |
MIDTERM EXAM
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Tuesday 10/16: |
R n and Subspaces
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Thursday 10/18: |
Dimsnion and Rank
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Friday 10/19: |
Determinant of a Square Matrix
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Tuesday, 10/23: |
More on Determinants and Invertible Matrices
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Thursday 10/25: |
Cramer's Rule and Applications
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Friday, 10/26: |
Quiz 4 and Geometric Applications
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Tuesday, 10/30: |
Abstract Vector Spaces and Subspaces
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Thursday 11/1: |
Null Spaces and Column Spaces
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Friday, 11/2: |
Bases, Spanning Sets, and Linearly Independent Sets
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Tuesday, 11/6: |
Coordinate Systems
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Thursday 11/8: |
Abstract Dimension
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Friday, 11/9: |
Quiz 5 and Abstract Rank
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Tuesday, 11/13: |
Changing Bases
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Thursday 11/15: |
Markov Chains
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Friday, 11/16: |
Review Day
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Tuesday, 11/27: |
Eigenvalues and Eigenvectors
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Thursday 11/29: |
The Characteristic Polynomial
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Friday 11/30: |
Quiz 6 and Diagonalization
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Tuesday, 12/4: |
Inner Products and Orthogonal Sets
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Thursday 12/6: |
Orthogonal Bases
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Friday, 12/7: |
Least Squares
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Final Exam: Thursday, December 13, 9-11 PM |
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