Differential Equations Project

Computer Lab Modules

 

1. Introduction to Mathematica's Solution of D.E.'s
2. First Order Linear D. E.'s
3. Solution of Exact D. E.'s
4. The Logistic Equation
5. The Population Model with Harvesting
6. Projectile Motion and Air Resistance
7. Numerical Approximation Methods for D.E.'s
8. Linear D.E.'s with Constant Coefficients
9. The Method of Undetermined Coefficients
10. The Method of Variation of Parameters
11. Mechanical Vibrations
12. Systems of D. E.'s
13. Spring - Mass Systems
14. The Compartment Model
15. Earthquake Induced Vibrations on Buildings
16. The Eigenvalue Method for Solving D.E.'s
17. The Matrix Exponential Solution of D.E.'s
18. Solution of D.E.'s using Laplace Transforms
19. Laplace Transforms Solution of D.E.'s Involving Square Wave Pulses
20. The Convolution Theorem for Laplace Transforms
21. Power Series Solution of O.D.E.'s
22. Frobenius Series Solution of O.D.E.'s
23. Bessel Functions and A Vibrating Drum
24. Fourier Series Expansions
25. Fourier Series Solution of D.E.'s

 

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(c) John H. Mathews, 1998