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Differential Equations: Mathematica Computer Laboratory Projects
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| Organization: | California State University Fullerton |
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College
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Course materials online.
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These laboratory projects are suitable for the junior-senior level undergraduate ordinary differential equations course. The labs are written in Mathematica 3, but I plan to upgrade them to Mathematica 4 in the near future.
Topics:
- First Order Linear Differential Equations
- Solution of Exact Differential Equations
- The Logistic Equation
- The Population Model with Harvesting
- Projectile Motion and Air Resistance
- Numerical Approximation Methods for Differential Equations
- Linear Differential Equations with Constant Coefficients
- The Method of Undetermined Coefficients
- The Method of Variation of Parameters
- Mechanical Vibrations
- Systems of Differential Equations
- Spring - Mass Systems
- The Compartment Model
- Earthquake Induced Vibrations on Buildings
- The Eigenvalue Method for Solving Differential Equations
- The Matrix Exponential Solution of Differential Equations
- Solution of Differential Equations using Laplace Transforms
- Laplace Transforms Solution of Differential Equations Involving Square Wave Pulses
- The Convolution Theorem for Laplace Transforms
- Power Series Solution of Ordinary Differential Equations
- Frobenius Series Solution of Ordinary Differential Equations
- Bessel Functions and A Vibrating Drum
- Fourier Series Expansions
- Fourier Series Solution of Differential Equations
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