Zach Star
Dear all calculus students, This is why you're learning about optimization
Dear all calculus students, This is why you're learning about optimization
Zach Star
e (Euler's Number) is seriously everywhere The strange times it shows up and why it's so important
e (Euler's Number) is seriously everywhere The strange times it shows up and why it's so important
Brian McLogan
Determine the derivative by using the rules of exponents to simplify
👉 Learn how to find the derivative of a function using the power rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative...
Looking Glass Universe
EPR Paradox and Entanglement Quantum Mechanics
The EPR paradox tries to prove that quantum mechanics is wrong.
Zach Star
How to Excel at Math and Science
This video covers a summary of the book "how to excel at math and science." Whether you are a high school student struggling with math and science, or a college student studying engineering, math, physics, etc and are doing well, the...
FuseSchool
The Theory of Evolution by Natural Selection
"The Theory of Evolution by Natural Selection Where did humans, and all the other living things on our planet come from? This problem puzzled humans for centuries, and there have been many different theories through the ages. Then, in...
Zach Star
The Math Major (Part 2)
This video continues on from part 1 and covers pure math concepts such as abstract algebra, real analysis, and topology. Those classes have less obvious real world applications than those discussed in the previous video and are much more...
Brian McLogan
Finding the inverse of a function
👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One...
Why U
Algebra 61 - Gauss-Jordan Elimination with Inconsistent Systems
When Gauss-Jordan elimination transforms a matrix representing an inconsistent system of linear equations to reduced row-echelon form, a matrix row containing all zero coefficient entries and a non-zero constant entry is produced,...
Brian McLogan
Write the equation of the tangent line with exponential
👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line...
KnowMo
Circle Theorems Extension: Intersecting Chords and Beyond
This video is a comprehensive lesson on circle theorems, including an extension on the topic. The presenter covers the key four circle theorems that students should know, including the arrow shape, bow shape, quadrilateral, and...
Why U
Pre-Algebra 27 - Raising Exponential Expressions to Powers
If a term raised to a power is enclosed in parentheses and then raised to another power, this expression can be simplified using the rules of multiplying exponents.
Brian McLogan
How to apply a transformation vector to translate a figure
👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up,...
Looking Glass Universe
A problem with Bohmian Mechanics Contextuality
Contextuality might mean that there are no alternatives to Quantum mechanics that are sensible. Given Quantum isnt sensible either, there may just not be any sensible theories at all.
Zach Star
The Math I Used In My First Year as a Full Time Engineer
In my first year as an engineer I used more math than most engineers probably do to begin, but it was also much less than I was doing in school. As someone who enjoys math I was curious how much I would see in engineering during college...
Brian McLogan
Find the value makes a piecewise function continuous with system of equations
👉 Learn how to find the value that makes a function continuos. A function is said to be continous if two conditions are met. They are: the limit of the function exist and that the value of the function at the point of continuity is...
Brian McLogan
Find the extrema using the second derivative test
👉 Learn how to find the extrema of a function using the second derivative test. The second derivative test states that if a function has a critical point for which f'(x) = 0, and the second derivative is positive, then the function has a...
Looking Glass Universe
Quantum Entanglement and the EPR Paradox
What is entanglement really? And why is it that its a uniquely quantum phenomena? Bohmian mechanics stuff: In Bohmian mechanics, you still have superpositions, they just mean something very different. A Bohmian mech particle only has one...
Brian McLogan
Find the values where the function has horizontal tangents
👉 Learn how to find the point of the horizontal tangent of a curve. A tangent to a curve is a line that touches a point in the outline of the curve. When given a curve described by the function y = f(x). The value of x for which the...
Zach Star
What Math Classes do Engineers (and Physics Majors) Take (Part 3)?
This video completes the series on math classes that engineers (and physics majors) take. It covers the last of the math classes you could see including... Numerical Methods Discrete Math Statistics Not every engineering discipline will...
FuseSchool
Sound Wave Experiments
Sound Wave Experiments In this video, we are going to look at the factors that influence the speed of sound and how to measure it. We will look at sound waves in more detail in another video: Sound Waves Sound travels at about 340m/s in...
Zach Star
A surprising topological proof - You can always cut three objects in half with a single plane
Zach Star demonstrates a surprising topological proof - you can always cut three objects in half with a single plane
Brian McLogan
Given rational function find the vertical asymptote and hole
👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable...