Mathematics 823 Download Page

• Text: Kevorkian, J., and Cole, J. Multiple Scale and Perturbation Methods. Applied Mathematical Sciences, vol. 114. New York: Springer-Verlag, 1997.


• Newsgroup: udel.spring98.math823-010


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• Course Announcement (size: 164K)

• Course Syllabus (size: 9K)

• Writing Assignment (size: 6K)


• Homework Sets

Homework Set 1 (size: 49K), Solution Set (size: 65K)

Dimensional analysis, order notation, asymptotic expansions.

Homework Set 2 (size: 33K), Solution Set (size: 63K)

Regular and singular perturbations for algebraic and linear ordinary differential equations.

Homework Set 3 (size: 27K), Solution Set (size: 59K)

Singular perturbations for linear and nonlinear ordinary differential equations.

Homework Set 4 (size: 31K), Solution Set (size: 64K)

Nonlinear ODEs, singular BVPs, higher-order examples.

Homework Set 5 (size: 33K), Solution Set (size: 60K)

Two-timing problems.

Homework Set 6 (size: 41K), Solution Set (size: 75K)

Mathieu's equation, the WKB method.

Homework Set 7 (size: 44K), Solution Set (size: 66K)

Turning points, Laplace-type integrals.

Homework Set 8 (size: 37K), Solution Set (size: 64K)

Moving maxima, stationary phase.

Homework Set 9 (size: 43K), Solution Set (size:  54K)

Steepest descents, asymptotic expansions of sums.

Homework Set 10 (size: 34K), Solution Set (size: 58K)

Singular perturbations for partial differential equations.

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