Differential Equations (TTC Video)

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Differential Equations (TTC Video)
General:Training
Language: (English)

Videos: 856x480 - MP4 format

Audio: 192kb/s - 2chan Stereo - rate 44kHz

Size: 7.58 GB

Description:

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. Mastering Differential Equations: The Visual Method takes you on this amazing mathematical journey in 24 intellectually stimulating and visually engaging half-hour lectures taught by a pioneer of the visual approach, Professor Robert L. Devaney of Boston University, coauthor of one of the most widely used textbooks on ordinary differential equations.



24 lectures - 30 minutes each, Plus a detailed 315 page PDF Course Guide included.

Lectures:

LECTURE 1 What Is a Differential Equation?

LECTURE 2 A Limited-Growth Population Model

LECTURE 3 Classification of Equilibrium Points

LECTURE 4 Bifurcations�Drastic Changes in Solutions

LECTURE 5 Methods for Finding Explicit Solutions

LECTURE 6 How Computers Solve Differential Equations

LECTURE 7 Systems of Equations�A Predator-Prey System

LECTURE 8 Second-Order Equations�The Mass-Spring System

LECTURE 9 Damped and Undamped Harmonic Oscillators

LECTURE 10 Beating Modes and Resonance of Oscillators

LECTURE 11 Linear Systems of Differential Equations

LECTURE 12 An Excursion into Linear Algebra

LECTURE 13 Visualizing Complex and Zero Eigenvalues

LECTURE 14 Summarizing All Possible Linear Solutions

LECTURE 15 Nonlinear Systems Viewed Globally�Nullclines

LECTURE 16 Nonlinear Systems near Equilibria�Linearization

LECTURE 17 Bifurcations in a Competing Species Model

LECTURE 18 Limit Cycles and Oscillations in Chemistry

LECTURE 19 All Sorts of Nonlinear Pendulums

LECTURE 20 Periodic Forcing and How Chaos Occurs

LECTURE 21 Understanding Chaos with Iterated Functions

LECTURE 22 Periods and Ordering of Iterated Functions

LECTURE 23 Chaotic Itineraries in a Space of All Sequences

LECTURE 24 Conquering Chaos�Mandelbrot and Julia Sets



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