Mastering Differential Equations: The Visual Method With Robert Devaney

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Mastering Differential Equations: The Visual Method With Robert Devaney

24xDVDRip | M4V/AVC, ~1313 kb/s | 640x480 | Duration: 12:31:21 | English: AAC, 128 kb/s (2 ch) | + PDF Guide | 7.74 GB

Genre: Mathematics

 

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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