MATH/MAPL 473 Download Page

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• Text: Lin, C. C. and Segel, L. A. Mathematics Applied to Deterministic Problems in the Natural Sciences. Classics in Applied Mathematics 1. Philadelphia: SIAM, 1988.

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• Course Syllabus (size: 11K)


• Paper Assignment (size: 9K)


• Homework Sets

Homework Set 2 (size: 52K)

Dimensional analysis, order notation, and basic asymptotic expansions.

Homework Set 3 (size: 30K)

Regular perturbations and singular perturbations for linear ODEs.

Homework Set 4 (size: 48K)

The diffusion equation and singular perturbations for linear ODEs.

Homework Set 5 (size: 28K)

Singular perturbations for nonlinear ODEs, intermediate layers.

Homework Set 6 (size: 41K)

Multiple-scale expansions.

Homework Set 7 (size: 40K)

Mathematical biology.

Homework Set 8 (size: 43K)

Traveling waves and the WKB approximation.

Homework Set 9 (size: 47K)

Quantum mechanics and the Navier-Stokes equations.

Homework Set 10 (size: 40K)

Unidirectional flow.

Homework Set 11 (size: 60K)

The lubrication approximation and inviscid boundary layers.

Homework Set 12 (size: 54K)

Inviscid boundary layers, dimensional analysis for fluid mechanics, and melting.

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