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Maple

Maple Powertools



This is a complete set of 40 Maple lessons for an undergraduate course in Partial Differential Equations. The course covers linear spaces; Fourier series; symbolic solutions to the heat, wave and Laplace equations with various boundary conditions; numerical methods; and general theory of first-order PDE's.

Prof. Jim Herod, Ret., formerly of Georgia Tech, developed the lessons. Dr. Herod has used and polished them through dozens of iterations of his course.

Download all 40 lessons (for Maple 8 or higher)
Preview individual lessons

 
Section 1.1 Linear Spaces preview download
Section 1.2 Geometry in Linear Spaces preview download
Section 1.3 Orthogonal Families preview download
Section 1.4 The Gramm-Schmidt Process preview download
Section 1.5 Projections preview download
Section 1.6 A Maximal Orthonormal Family preview download
Section 2.1 Convergence of Infinite Sequences and Series preview download
Section 2.2 Extensions preview download
Section 2.3 Convergence of Fourier Series preview download
Section 2.4 Calculus on Fourier Series preview download
Section 3.1 Ordinary Differential Equations Review preview download
Section 3.2 Homogeneous and Non-homogeneous ODE's preview download
Section 3.1 Eigenvalues and Eigenfunctions preview download
Section 4.1 The Simple Heat Equation preview download
Section 4.2 Heat Diffusion with Radiation Cooling preview download
Section 4.3 Insulated Boundary Conditions preview download
Section 4.4 Convection Across Boundaries preview download
Section 4.5 Structure for Solutions of the Heat Equation preview download
Section 5.1 The One Dimensional Wave Equation preview download
Section 5.2 The Solution of d'Alembert preview download
Section 5.3 d'Alembert's Solution on Intervals preview download
Section 5.4 A String in a Viscous Medium preview download
Section 5.5 Different Boundary Conditions preview download
Section 6.1 Laplace's Equation on a Rectangle preview download
Section 6.2 Laplace's Equation with Neumann Boundary Conditions preview download
Section 6.3 The Structure of Solutions of Laplace's Equation preview download
Section 6.4 Laplace's Equation on a Disk preview download
Section 6.5 Laplace's Equation on a Ring or a Half Disk preview download
Section 7.1 The Heat Equation on a Rectangle preview download
Section 7.2 2-D Diffusion with Neumann Boundary Conditions preview download
Section 7.3 Heat Equation on a Disk preview download
Section 7.4 Recipe for a Cheese Cake preview download
Section 7.5 Warm Spheres preview download
Section 7.6 Vibrations of a Circular Drum preview download
Section 8.1 Numerical Solutions for ODE's: Difference Methods preview download
Section 8.2 Numerical Solutions for the 1-D Heat Equation preview download
Section 8.3 Numerical Solutions for the 1-D Wave Equation preview download
Section 9.1 An Introduction to First Order PDE's preview download
Section 9.2 Characteristics for First Order PDE's preview download
Conclusion Partial Differential Equations and Maple preview download
 


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