MATLAB Demonstrations for Math 30650

These have been used or will be used as classroom demonstrations.

• Section 4.1 Using MATLAB to solve a higher order ODE
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• Section 4.2 Solving a higher order inital value problem
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• Section 4.3 Undetermined coefficients
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• Demonstration for Section 8.1 Euler's method
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• Another Demonstration for Section 8.1
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• Demonstration for Section 8.3 Runge Kutta method
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• Demonstration for Differential Equations with MATLAB Chapter 5 Stability
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• Demonstration for Differential Equations with MATLAB Chapter 8 A table of values for a numerical solution
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• Demonstration for Differential Equations with MATLAB Chapter 8 Using ode45 to find a vertical asymptote
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• Demonstration for Differential Equations with MATLAB Chapter 8 A case where ode45 does not give a good answer
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• Demonstration for using MATLAB to calulate Fourier coefficients, Fourier series Chapter 10, Sections 2-4
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• Piecewise functions in MATLAB
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• Animation of convergence of Fourier series Chapter 10, Sections 2-4
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• fourier_movie.m

• Fourier cosine series and Fourier sine series Chapter 10, Section 4
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• Graph of a solution of the heat equation Chapter 10, Section 5
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• Graphing the solution of the heat equation as a function of x and t Chapter 10, Section 5
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• Solving the heat equation Chapter 10, Section 6
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• A vibrating string Chapter 10, Section 7
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• Solving the wave equation Chapter 10, Section 7
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