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• Author: kityvn
• Date: 12-01-2015, 09:01
12-01-2015, 09:01

### Mastering Differential Equations The Visual Method With Robert Devaney

Category: Tutorials

For centuries, differential equations have been the key to unlocking nature's deepest secrets. Over 300 years ago, Isaac Newton invented differential equations to understand the problem of motion, and he developed calculus in order to solve differential equations. Since then, differential equations have been the essential tool for analyzing the process of change, whether in physics, engineering, biology, or any other field where it's important to predict how something behaves over time.

Lectures:
01. What Is a Differential Equation.m4v
02. A Limited-Growth Population Model.m4v
03. Classification of Equilibrium Points.m4v
04. Bifurcations-Drastic Changes in Solutions.m4v
05. Methods for Finding Explicit Solutions.m4v
06. How Computers Solve Differential Equations.m4v
07. Systems of Equations-A Predator-Prey System.m4v
08. Second-Order Equations-The Mass-Spring System.m4v
09. Damped and Undamped Harmonic Oscillators.m4v
10. Beating Modes and Resonance of Oscillators.m4v
11. Linear Systems of Differential Equations.m4v
12. An Excursion into Linear Algebra.m4v
13. Visualizing Complex and Zero Eigenvalues.m4v
14. Summarizing All Possible Linear Solutions.m4v
15. Nonlinear Systems Viewed Globally-Nullclines.m4v
16. Nonlinear Systems near Equilibria-Linearization.m4v
17. Bifurcations in a Competing Species Model.m4v
18. Limit Cycles and Oscillations in Chemistry.m4v
19. All Sorts of Nonlinear Pendulums.m4v
20. Periodic Forcing and How Chaos Occurs.m4v
21. Understanding Chaos with Iterated Functions.m4v
22. Periods and Ordering of Iterated Functions.m4v
23. Chaotic Itineraries in a Space of All Sequences.m4v
24. Conquering Chaos-Mandelbrot and Julia Sets.m4v

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