Assignments Exams Download Course Materials; Some of the problems are assigned in the required textbook: Salsa, Sandro. Partial Differential Equations in Action: From Modelling to Theory. Springer, 2010. ISBN: 9788847007512. (Preview with Google Books).

Richard Haberman, Applied Partial Differential Equations with Fourier Series and Boundary Value Problems, 5th edition (Pearson, 2013). Selected topics from Chapters 1-5, 7, 8 and 12: Credit: 3 semester hours: Eligibility: Is your responsibility. You must have the prerequisites listed below, and must never have completed with a grade of C- or.

Calendar description: Classification and wellposedness of linear and nonlinear partial differential equations; energy methods; Dirichlet principle. Brief introduction to distributions; weak derivatives. Fundamental solutions and Green's functions for Poisson equation, regularity, harmonic functions, maximum principle. Representation formulae for solutions of heat and wave equations, Duhamel's.

In this course we will concentrate on the heat equation, the wave equation, and the Laplace equation, studying their solutions, and also qualitative properties of their solutions. The official prerequisites for this course are ordinary differential equations (MATH 20D) and linear algebra (MATH 20F), but a thorough understanding of (multivariable) calculus (MATH 20ABCE) is also necessary.

Lectures, Problems And Solutions For Ordinary Differential EquationsThis unique book on ordinary differential equations addresses practical issues of composing and solving such equations by large number of examples and homework problems with solutions. These problems originate in engineering, finance, as well as science at appropriate levels that readers with the basic knowledge of calculus.

A method that can be used to solve linear partial differential equations is called separation of variables (or the product method).Generally, the goal of the method of separation of variables is to transform the partial differential equation into a system of ordinary differential equations each of which depends on only one of the functions in the product form of the solution.

Partial Differential Equations I: Basics and Separable Solutions We now turn our attention to differential equations in which the “unknown function to be deter- mined” — which we will usually denote by u — depends on two or more variables. Hence the derivatives are partial derivatives with respect to the various variables. (By the way, it may be a good idea to quickly review the A.