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Curated Video
Graph of a Function and Its Derivative
The derivative function provides the slope of the original function for each value of x. The graph of the derivative can be used to gain information about the original function and can be used to create a sketch of the original function.
Curated Video
The Big Bang Entropy Puzzle
Nobel Laureate in Physics Roger Penrose (Oxford) relates his longstanding bemusement at why the early universe was in such a peculiar low state of entropy.
Curated Video
Solutions by Graphing Systems
This video will discuss examples to find approximate solutions by graphing, using technology. Equations of the form f(x) = g(x) will be solved, where f(x) and g(x) may be linear, polynomial, rational, absolute value, exponential, or...
Curated Video
Shading via Crosshatch
This video will demonstrate how to shade an object using the crosshatch method.
Virtually Passed
5.0 A better way to understand Differential Equations | Nonlinear Dynamics | Bendixson's Criterion
Bendixson's criterion is another method used to disprove the existence of closed orbits. A periodic solution is a type of closed orbit. This theorem only holds for simply connected regions in 2D. The statement is that if on a simply...
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4.0 A better way to understand Differential Equations | Nonlinear Dynamics | Index Theory
Index theory is a method used to gain global information about a nonlinear differential equation. One powerful insight is that closed orbits (periodic solutions) must have at least one fixed point inside of the curve. In fact, for a...