Education Differential Equations Math

These lecture notes cover a first year graduate course that was given on pseudo-differential operators. The calculus on manifolds is developed and applied to prove propagation of singularities and the Hodge decomposition theorem.

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• Pseudo-Differential Operators - These lecture notes cover a first year graduate differential equations course education that was given on pseudo-differential operators. The differential equations calculus on education manifolds is developed and applied to differential equations prove propagation education differential equations of singularities and the education Hodge decomposition theorem.
• Green's Functions - Lecture notes introducing this technique for solving first and second order differential equations. Scanned (GIF) by Joceline Lega.
• Waves and Oscillations - Teaching resources developed by Frances Goldman, University of Glasgow.
• Vibrating Drumhead - A set of Mathematica packages which outline solutions of the education wave equation in various coordinates.
• Series Solutions to Differential Equations - A set of downloadable lectures.
• Differential Equations with Boundary Value Problems - By S. Hollis (Prentice Hall, 2002). Overview math of contents, errata, software and link to purchasing math page.

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