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In this program

Regular perturbation expansions for algebraic equations
Singular perturbations
Boundary layers (introduction)
Poincaré–Lindstedt method for weakly nonlinear oscillations
Multiple scales (overview at undergraduate level)
Asymptotic matching (introduction)

Perturbation and asymptotic methods

Asymptotic matching (introduction)

Methods of applied mathematics · STEM / applied

Topic

Asymptotic matching (introduction)

Practice by unit: Perturbation and asymptotic methods

Undergraduate Methods of Applied Mathematics — scope drawn from open applied methods notes and typical US applied mathematics methods syllabi.

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