Introduction to Maple |
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Examples to Illustrate Commonly Used MAPLE Commands
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Some Useful ODE Solutions Available In MAPLE
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Finding Roots Using Maple
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Orthogonality |
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Proof of the Orthogonality Property for Sines
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Proof of the Orthogonality Property for Cosines
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Proof of Orthogonality of Bessel Functions w.r.t. the Weighting Function r(x) = r.
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Separation of Variables |
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Illustration of Separation of Variables Method - The Two Dimensional Laplace's Equation
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Illustration of Separation of Variables Method - The One Dimensional Diffusion Equation
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Illustration of Separation of Variables Method - The One Dimensional Wave Equation
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Illustration of Separation of Variables Method - The One Dimensional Diffusion Equation in Cylindrical Co-ordinates
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Illustration of Separation of Variables Method
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Illustration of Separation of Variables Method and solution to One Dimensional Wave Equation in Cartesian Co-ordinates.
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Solution of the wave equation for the vibration membrane problem.
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Similarity Methods |
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Illustration of the Boltzmann Similarity Method
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Boltzmann Similarity Method
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Boltzmann Similarity Method
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Laplace Transfer Methods |
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Illustration of Laplace Transform Methods
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Illustration of Laplace Transform Methods
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Assignment Solutions |
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Solution to Assignment #1
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Solution to Assignment #2
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Solution to Assignment #3
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3D and Contour Plots of the solutions to Questions 1 and 2 of, Problem Set #4.
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Assignment # 1 - Transient Conduction in a Half Space with Convection Cooling
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Assignment # 2 - Separation of Variables Method
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Assignment # 3 - Roots of Characteristic Equations and Fourier Coefficients
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Assignment # 3
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Problem Set #1, Question #2
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Problem Set #1, Question #4
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Problem Set #2, Question #1
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Problem Set #3, Question #1
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Problem Set #4, Question #3 - Plot of Dimensionless Solution
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Problem Set #4, Question #4 - Plot of Dimensionless Solution
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