Overview of Week 3
Math 308 Section A, April 14, 1997
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Reading Assignment:
- Read Section 1.6 for Monday, April 14.
- Read Sections 1.7 and 1.8 for Wednesday, April 16.
- Read Section 1.9 for Friday, April 18.
- Read Section 1.10 for Monday, April 21.
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Homework Assignment:
- Section 1.6 Page 62, problems 6, 12, 20, 21, 42,
45, *49, *50.
Due Wednesday, April 16.
- Section 1.7 Page 71, problems 1--24 all multiples of 3,
26, 27, 29, 35, 41a, *43.
Due Friday, April 18.
- Section 1.8 Page 81, problems 1--45 multiples of 3, and *47.
Due Friday, April 18.
- Section 1.9 Page 93, problems 1--30 all multiples of 3.
Due Monday, April 21.
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Vocabulary List:
- Section 1.6:
- equivalence of matrices (Definition 5)
- sum of matrices (Definition 6)
- product of a scalar and a matrix (Definition 7)
- n--dimensional vector
- Euclidean n--space
- dot product (or scalar product)
- matrix multiplication (or the product of matrices, Definition 8
)
- Section 1.7:
- transpose
- symmetric
- main diagonal
- scalar product
- Euclidean norm
- Section 1.8:
- linear combination
- linearly dependent and independent
- singular and nonsingular matrices
- Theorem 12
- Theorem 13
- Section 1.9:
- interpolating polynomial
- Vandermonde matrix
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Key Concepts:
- Section 1.5:
- Conservation of flow in a network and the node--arc incidence matrix.
- Ohm's Law and Kirchoff's first and second laws
- Section 1.6:
- Vector--space properties of matrices: equivalence, scalar multiplication,
addition.
- Matrix multiplication and its various interpretations.
- Section 1.7:
- Algebra of matrix operations
- Euclidean norm
- Section 1.8:
- Linear Dependence and Independence
- Nonsingular matrices
- Section 1.9:
- Polynomial Interpolation
- Numerical Integration
- Numerical Differentiation
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Skills to Master:
- Network problem set--up and solution.
- Add and multiply matrices
- Algebraic manipulations with matrices
- Expressing linear dependence among vectors
- Setting up and solving interpolation problems
- Computing weights for integration and differentiation
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Quiz:
Friday, April 18.
- This quiz is based on the vocabulary and homework for sections 1.5
through 1.8.