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
Shading via Crosshatch
This video will demonstrate how to shade an object using the crosshatch method.
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...
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...
Zach Star
The Most Unusual Ways Pi Shows Up In Mathematics | Can You Explain These?
The Most Unusual Ways Pi Shows Up In Mathematics | Can You Explain These?
Virtually Passed
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...
Virtually Passed
1.0 A better way to understand Differential Equations | Nonlinear Dynamics | 1D Linear Diff Eqns
Here we show another way to graphically interpret first order ordinary differential equations (ODE's) in the form dx/dt = f(x). Rather than solve the differential equation by integrating, which is often impractical, it's useful to graph...
Zach Star
The applications of hyperbolic trig | Why do we even care about these things?
The applications of hyperbolic trig | Why do we even care about these things?
Curated Video
Domain and Range
“Domain and Range” explains when a relation is a function. The video also describes how to determine the domain and range of a given function.
Vlogbrothers
What Everyone Gets Wrong About Global Warming
Throughout this video I say "probability curve" when a statistician would say "probability distribution." I just want to say that I'm aware of this, and that it's a choice I intentionally made because I felt like it made it easier to...
Curated Video
Does the Graph Represent a Linear Function?
In this short math video we will answer a standardized math question where we determine "Does the Graph Represent a Linear Function?" We will begin by review that a the graph of a linear function is a line that is not vertical. We will...
Flipping Physics
#12 Mechanics Multiple Choice Solutions - AP Physics C 1998 Released Exam
This problem is about using the a graph and the integral (or the area "under" the curve) to determine the change in momentum (or impulse) of an object.
Flipping Physics
2019 #5 Free Response Question - AP Physics 1 - Exam Solution
My solutions to Free Response Question #5 from the 2019 AP Physics 1 Exam. This question is about standing waves in open and closed pipe instruments. Also included are my reflections on how to get perform better on the exam.
Curated Video
Understanding Geometric Sequences and Exponential Functions
This video explains the concept of geometric sequences and their relationship to exponential functions. It covers the explicit rule for geometric sequences, how to find specific terms in the sequence, and how to graph the sequence on a...