Maple Resources
Maple worksheets will be provided to demonstrate solutions of example problems for many topics covered in the course. They are available in two formats: an html version that can be viewed directly from your web browser without any external viewer, and a copy of the Maple .mws file that can be downloaded and opened using Maple V Release 4.
Instructions for configuring your web browser to automatically open and view Maple and Postscript files are available here.
| Date | Topic | Link |
| May 6, 1998 | Tutorial 1: Built-in Constants |
HTML Maple V R4 |
| May 6, 1998 | Tutorial 2: Trigonometric and Hyperbolic Functions |
HTML Maple V R4 |
| May 6, 1998 | Tutorial 3: Some Maple Commands |
HTML Maple V R4 |
| May 6, 1998 | Tutorial 4: Sequences, Lists, and Sets |
HTML Maple V R4 |
| May 6, 1998 | Tutorial 5: Algebraic Equations |
HTML Maple V R4 |
| May 6, 1998 | Tutorial 6: Solving Differential Equations |
HTML Maple V R4 |
| May 19, 1998 | Tutorial 7: Two-Dimensional Graphics |
HTML Maple V R4 |
| May 19, 1998 | Tutorial 8: Three-Dimensional Graphics |
HTML Maple V R4 |
| May 19, 1998 | Tutorial 9: Some Simple Maple Procedures |
HTML Maple V R4 |
| May 19, 1998 | Tutorial 10: Trapezoidal Rule |
HTML Maple V R4 |
| May 19, 1998 | Tutorial 11: Simpsons Rule |
HTML Maple V R4 |
| May 19, 1998 | Tutorial 12: Ordinary Differential Equations |
HTML Maple V R4 |
| May 19, 1998 | Tutorial 13: Bessel's Equations |
HTML Maple V R4 |
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| Date | Topic | Link |
| May 14, 1998 | Fourier Cosine Series |
HTML Maple V R4 |
| May 14, 1998 | Fourier Sine Series |
HTML Maple V R4 |
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| Date | Topic | Link |
| May 14, 1998 | Ordinary Differential Equations and Solutions in Cartesian Coordinates |
HTML Maple V R4 |
| May 14, 1998 | Ordinary Differential Equations and Solutions in Circular Cylinder Coordinates |
HTML Maple V R4 |
| May 14, 1998 | Ordinary Differential Equations and Solutions in Spherical Coordinates |
HTML Maple V R4 |
| June 2, 1998 | Solutions of Initial Value Problems | Maple V R4 |
| June 2, 1998 | Solutions of Boundary Value Problems: Cartesian Coordinates |
HTML Maple V R4 |
| June 2, 1998 | Solution of Boundary Value Problem: Polar Coordinates |
HTML Maple V R4 |
| June 2, 1998 | Solution of Boundary Value Problem: Spherical Coordinates |
HTML Maple V R4 |
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| Date | Topic | Link |
| May 14, 1998 | Separation of Variables Method for 1D Diffusion Equation |
HTML Maple V R4 |
| May 14, 1998 | Separation of Variables Method for 1D Diffusion Equation in Circular Cylinder Coordinates |
HTML Maple V R4 |
| May 14, 1998 | Separation of Variables Method for 2D Laplace Equation in Cartesian Coordinates |
HTML Maple V R4 |
| May 14, 1998 | Separation of variables method for 1D wave equation |
HTML Maple V R4 |
| June 2, 1998 | Characteristic Equation: Cartesian Coordinates |
HTML Maple V R4 |
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| Date | Topic | Link |
| May 19, 1998 | Orthogonality of Bessel Function of Order 0 |
HTML Maple V R4 |
| May 19, 1998 | Orthogonality of Bessel Function of Order 1 |
HTML Maple V R4 |
| May 19, 1998 | Orthogonality of Cosines |
HTML Maple V R4 |
| May 19, 1998 | Orthogonality of Sines |
HTML Maple V R4 |
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Derivation and Solution of PDEs
| Date | Topic | Link |
| May 19, 1998 | Derivation of Diffusion Equation: Cartesian, Polar and Spherical Coordinates |
HTML Maple V R4 |
| July 6, 1998 | 2D Laplace Equation in Rectangle |
HTML Maple V R4 |
| July 6, 1998 | 2D Laplace Equation in Rectangle |
HTML Maple V R4 |
| July 6, 1998 | 2D Laplace Equation in Rectangle |
HTML Maple V R4 |
| July 6, 1998 | 2D Laplace Equation in Rectangle |
HTML Maple V R4 |
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| Date | Topic | Link |
| June 2, 1998 | Application of the similarity method to the one-dimensional heat equation in a half-space |
HTML Maple V R4 |
| July 9, 1998 | One-Dimensional Mass Diffusion in Half-Space |
HTML Maple V R4 |
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| Date | Topic | Link |
| July 14, 1998 | Laplace Tranform Method. Maple procedure that converts the notation to the conventional form. |
HTML Maple V R4 |
| July 14, 1998 | Laplace Transform Method. Some References. |
HTML Maple V R4 |
| July 14, 1998 | Laplace Transform. Definitions. |
HTML Maple V R4 |
| July 14, 1998 | Laplace Transform. Maple worksheet to solve ODEs. |
HTML Maple V R4 |
| July 14, 1998 | Laplace Transform. Maple worksheet to solve ODEs. |
HTML Maple V R4 |
| July 14, 1998 | Laplace Transform. Partial derivatives. |
HTML Maple V R4 |
| July 14, 1998 | Laplace Tranform. Miscellaneous tranforms of special functions. |
HTML Maple V R4 |
| July 14, 1998 | Laplace Transform. Application to diffusion equation. |
HTML Maple V R4 |
| July 14, 1998 | Laplace Tranform. Heaviside function. |
HTML Maple V R4 |
| July 14, 1998 | Laplace Transform. Dirac delta impulse function. |
HTML Maple V R4 |
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| Date | Topic | Link |
| July 8, 1998 | Error and Complementary Error Functions |
HTML Maple V R4 |
| July 9, 1998 | Approximations of Error and Complementary Error Functions |
HTML Maple V R4 |
| July 20, 1998 | Bessel Equations and Their Solutions |
HTML Maple V R4 |
| July 20, 1998 | Bessel Functions: Plots |
HTML Maple V R4 |
| July 20, 1998 | Bessel Functions: Derivatives and Integrals |
HTML Maple V R4 |
| July 20, 1998 | Bessel Functions: Roots |
HTML Maple V R4 |
| July 20, 1998 | Modified Bessel Functions |
HTML Maple V R4 |
| July 20, 1998 | Modified Bessel Functions: Derivatives and Integrals |
HTML Maple V R4 |
| July 20, 1998 | Orthogonality of Bessel Functions |
HTML Maple V R4 |
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| Date | Topic | Link |
| May 25, 1998 | Euler Method |
HTML Maple V R4 |
| May 25, 1998 | Euler Method |
HTML Maple V R4 |
| May 25, 1998 | Improved Euler Method |
HTML Maple V R4 |
| May 25, 1998 | Runge-Kutta Method: Order 2 |
HTML Maple V R4 |
| May 25, 1998 | ODE Runge-Kutta Method |
HTML Maple V R4 |
| May 25, 1998 | ODE Runge-Kutta Method |
HTML Maple V R4 |
| May 25, 1998 | Runge-Kutta Method: Order 4 |
HTML Maple V R4 |
| May 25, 1998 | Simpson's Rule |
HTML Maple V R4 |
| May 25, 1998 | Trapezoidal Rule |
HTML Maple V R4 |
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| Date | Topic | Link |
| June 24, 1998 | Finite difference method. Developments. |
HTML Maple V R4 |
| June 24, 1998 | Finite difference method. Developments. |
HTML Maple V R4 |
| June 24, 1998 | Finite difference method. General one-dimensional equation for constant cross-section system |
HTML Maple V R4 |
| June 24, 1998 | Finite difference method. Dirichlet boundary conditions. |
HTML Maple V R4 |
| June 24, 1998 | Finite difference method. Neumann and Dirichlet boundary conditions. |
HTML Maple V R4 |
| June 24, 1998 | Finite difference method. Neumann and Robin boundary conditions. |
HTML Maple V R4 |
| June 24, 1998 | Finite difference method. Poisson equation with Neumann and Dirichlet boundary conditions. |
HTML Maple V R4 |
| June 24, 1998 | Finite difference method. Poisson equation in a rod with Neumann and Dirichlet boundary conditions. |
HTML Maple V R4 |
| June 24, 1998 | Finite volume solution of Poisson equation in a circular cylinder with Robin and Neumann conditions |
HTML Maple V R4 |
| June 24, 1998 | Finite volume method. Application to pin fin. |
HTML Maple V R4 |
| June 24, 1998 | Finite difference method. Fin of constant cross-section with uniform heat transfer coefficient, isothermal base and adiabatic tip |
HTML Maple V R4 |
| June 24, 1998 | Numerical solution of radial fin. Five control volumes |
HTML Maple V R4 |
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