COURSE INFO
SCHEDULE
SYLLABUS
HOMEWORK
OFFICE HOURS
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MATH 24, Spring 2003
Linear Algebra-Honors Section
Schedule
Daily topics are subject to change.
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Wednesday, 3/26: |
Review of Vectors, Mathematical Induction
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Friday, 3/28: |
1.2, 1.3: Vector Spaces, Subspaces
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Monday, 3/31: |
1.4, 1.5 Linear Combinations, Linear Dependence and Independence
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Wednesday, 4/2: |
1.6 Bases and Dimension
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Friday, 4/4: |
2.1 Linear Transformations, Null Spaces, Ranges
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Monday, 4/7: |
2.2 The Matrix Representation of a Linear Transformation
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Wednesday, 4/9: |
2.3 Composition of Linear Transformations and Matrix Multiplication
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Friday 4/11: |
2.4 Invertibility and Isomorphisms.
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Monday 4/14: |
2.5 The Change of Coordinate Matrix
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Wednesday 4/16: |
3.1-2 Elementary Matrix Operations and Elementary Matrices, The Rank of a Matrix
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Thursday 4/17 (x-hour): |
EXAM 1 (In-class portion)
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Friday 4/18: |
3.2-3 Matrix Inverses, Systems of Linear Equations: Theoretical Aspects
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Monday 4/21: |
3.4 Systems of Linear Equations: Computational Aspects
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Wednesday 4/23 |
4.1 Determinants of Order 2
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Friday 4/25: |
Determinants of order n
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Monday 4/28: |
4.3-4 Properties of Determinants, Summary of determinants
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Wednesday 4/30: |
5.1 Eigenvalues and Eigenvectors
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Friday 5/2: |
5.2 Diagonalizability
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Monday, 5/5: |
5.3 Matrix Limits and Markov Chains
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Wednesday, 5/7: |
5.4 Invariant Subspaces and the Cayley-Hamilton Theorem
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Thursday, 5/8: |
EXAM 2- In-Class Portion
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Friday, 5/9: |
6.1 Inner Products and Norms
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Monday 5/12: |
6.2 The Gram-Schmidt Orthogonalization Process and Orthogonal Complements
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Wednesday 5/14 |
6.3 The Adjoint of a Linear Operator
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Friday 5/16: |
Green Key- No Class
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Monday, 5/19: |
6.4 Normal and Self-Adjoint Operators
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Wednesday 5/21: |
6.5 Unitary and Orthogonal Operators and Their Matrices
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Friday, 5/23: |
6.6 Orthogonal Projections and the Spectral Theorem
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Monday 5/26: |
NO CLASS: READING PERIOD
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Wednesday 5/28: |
6.9 Einstein's Special Theory of Relativity
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FINAL EXAM: TBA |
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