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Complex analysis Cauchy's theorem

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Complex analysis Jordan's lemma

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Lecture 27 Renormalization and envelopes

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Lecture 26 PDEs and boundary layers

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Lecture 25 Difference equations and multiple scales

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Lecture 24 Aging spring and adiabatic invariants

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Lecture 23 Two-timing

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Lecture 22 Introduction to the method of multiple scales

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Lecture 21 Delayed bifurcation

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Lecture 20 WKB for eigenvalue problems

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Lecture 19 Turning points and Airy functions

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Lecture 18 Introduction to WKB theory

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Lecture 17 An application to systems biology the Michaelis-Menten model

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Lecture 16 A tricky nonlinear boundary-value problem

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Lecture 15 Corner layers

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Lecture 14 Location and thickness of boundary layers

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Lecture 13 Higher-order matching in boundary layer theory

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Lecture 12 Introduction to boundary layer theory

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Lecture 10 Perturbation methods for algebraic equations

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Lecture 11 Regular perturbation methods for ODEs

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Lecture 9 Dominant balance

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Lecture 8 Integral representations and an introduction to dominant balance

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Lecture 7 Saddle points

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Lecture 6 Steepest descent

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Lecture 5 Stationary phase

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Lecture 4 Laplace's method

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Lecture 3 Integration by parts

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Lecture 2 Properties of asymptotic expansions

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Asymptotics and perturbation methods - Lecture 1 Asymptotic expansions

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Newton's triple integral

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