Mathematics 342 Download Page (Spring 1999)
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- Course Syllabus (size: 13K)
- Handouts
- Step Function Forcing (size:
37K)
- Dirac Function Forcing (size:
31K)
- Frobenius Series (size: 40K)
- The Hessian Matrix (size: 54K)
- Fourier Series (size: 49K)
- Sine and Cosine Series (size:
54K)
- Homework Sets
- Homework Set 1 (size: 44K)
revised
version posted February 26
- Review of chapter B7, forced first-order systems, linear
transformations
(sections B7.9 and L4.1).
- Homework Set 2 (size: 50K)
- Matrices for linear transformations, similarity, the Laplace
transform
(sections L4.2, L4.3, and B6.1).
- Homework Set 3 (size: 49K)
revised version
posted March 10
- Laplace transforms for IVPs, step and impulse functions
(sections B6.2-6.5).
- Homework Set 4 (size: 52K)
revised version
posted March 22
- The convolution theorem, Euler equations, power series near
ordinary points
(sections B5.1-5.3, B5.5, and B6.6).
- Homework Set 5 (size: 40K)
- Classification of singular points, power series near regular
singular points
(sections B5.4, B5.6, and B5.7).
- Homework Set 6 (size: 44K)
- Inner product spaces (sections L5.1 and L5.3).
- Homework Set 7 (size: 45K)
revised version
posted April 22
- Orthogonal subspaces, least squares problems, orthonormal sets
(sections
L5.2, L5.4, and L5.5).
- Homework Set 8 (size: 40K)
- Linear ODEs of order greater than two (sections B4.1-4.3).
- Homework Set 9 (size: 42K)
- Quadratic forms, positive definite matrices, Fourier series
(sections L6.5,
L6.6, B10.1, and B10.2).
- Supplemental Study Material (size:
24K)
- Sine and cosine series (section B10.3).
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