COURSE INFO
SCHEDULE
SYLLABUS
HOMEWORK
OFFICE HOURS
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Math 300, Spring 2010
Linear Algebra
Schedule
Daily topics are subject to change.
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Wednesday, 1/20: |
Systems of Linear Equations and Row Operations
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Friday 1/22: |
Matrix reduction and consistency
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Monday, 1/25: |
The Row Reduced Echelon Form and Vector Combinations
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Wednesday, 1/27: |
Vector equations, Matrix Equations
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Friday 1/29: |
Span of a set of vectors, Quiz 1
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Monday, 2/1: |
Homogeneous Equations, Solution Sets
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Wednesday, 2/3: |
Linear Dependence and Independence
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Friday 2/5: |
Introduction to Linear Transformations
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Monday, 2/8: |
More on Linear Transformations, One-to-One and Onto Maps
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Wednesday, 2/10: |
Applications of Systems of Equation
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Friday 2/12: |
Quiz 2
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Monday, 2/15: |
Matrix Algebra, Addition and Multiplication
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Wednesday, 2/17: |
Matrix Multiplication and Composite Maps
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Friday 2/19: |
The Invertible Matrix Theorem
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Monday, 2/20: |
Block Partitions of Matrices
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Wednesday, 2/22: |
LU Factorization of Matrices
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Friday 2/24: |
Quiz 3
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Monday, 3/1: |
Introduction to Determinants
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Wednesday, 3/3: |
Determinants and Row Operations
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Friday 3/5: |
n by n Determinants
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Monday, 3/8: |
Review of Determinants
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Wednesday, 3/10: |
Review for Midterm
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Friday 3/12: |
MIDTERM EXAM
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Monday, 3/29: |
Cramer's Rule
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Wednesday, 3/31: |
Introduction to Abstract Vector Spaces
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Friday 4/2: |
No Class
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Monday, 4/5: |
Vector Subspaces
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Wednesday, 4/7: |
Null and Column Spaces
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Friday 4/9: |
Quiz 4
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Monday, 4/112: |
Linear Indepdendence, Spanning Sets, and Bases.
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Wednesday, 4/14: |
Wrap-up of Vector Spaces, Introduction to Eigenvalues
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Friday 4/16: |
More on Eigenvalues and the Characteristic Polynomial
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Monday, 4/19: |
Eigenspaces and Diagonalization
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Wednesday, 4/21: |
Complex Numbers and Complex Eigenvalues
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Friday 4/23: |
Quiz 5
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Monday, 4/26: |
Inner Product Spaces
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Wednesday, 4/28: |
Orthogonality and Angles
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Friday 4/30: |
Orthogonal Projections
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Monday, 5/3: |
Orthonormal Bases and Projection onto a subspace
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Wednesday, 5/5: |
Matrix Factorization and Least Squares
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Friday 5/7: |
Quiz 6
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Monday 5/10: |
Final Exam Review
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