MATLAB Demonstrations for Math 30650
Nancy K. Stanton
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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