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A different way to multiply squares!

This is a quick trick for finding the square of two-digit numbers.

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Learn mathKrista KingMarch 7, 2017two-digit integers, multiply squares, multiplication
How does long division actually work?

Most people thing long division is boring and tedious, but when you understand the math that's going on behind the scenes, it's actually pretty cool!

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Learn mathKrista KingFebruary 27, 2017long division, division equations
What are vertical asymptotes?

Vertical asymptotes are important boundary lines for a function, because, if you can find them, they're a line that the graph cannot cross, which can really help you sketch a more accurate picture of the curve.

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Learn mathKrista KingFebruary 20, 2017vertical assymptotes
What are critical points?

Critical points are one of the best things we can do with derivatives, because critical points are the foundation of the optimization process.

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Learn mathKrista KingFebruary 13, 2017critical points
What is linear approximation?

Linear approximation, or linearization, is a method we can use to approximate the value of a function at a particular point.

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Learn mathKrista KingFebruary 6, 2017linear approximation
What is average rate of change?

We already know that the slope of a function at a particular point is given by the derivative of that function, evaluated at that point.

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Learn mathKrista KingJanuary 31, 2017average rate of change
What is implicit differentiation?

Most often in calculus, you deal with explicitly defined functions, which are functions that are solved for y in terms of x.

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Learn mathKrista KingJanuary 22, 2017implicit differentiation
What is L'Hospital's rule?

L'Hospital's rule is so named because i was discovered (maybe) by the mathematician L'Hospital in the 1600's.

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Learn mathKrista KingJanuary 11, 2017l'hospital's rule
When is a curve differentiable?

When we talk about differentiability, it’s important to know that a function can be differentiable in general, differentiable over a particular interval, or differentiable at a specific point.

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Learn mathKrista KingDecember 19, 2016curve differentiable
What is Stokes theorem?

Where Green's theorem is a two-dimensional theorem that relates a line integral to the region it surrounds, Stokes theorem is a three-dimensional version relating a line integral to the surface it surrounds.

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Learn mathKrista KingDecember 14, 2016stokes theorem
What is the tangent line?

Tangent lines are absolutely critical to calculus; you can’t get through Calc 1 without them!

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Learn mathKrista KingDecember 11, 2016tangent line
How do you multiply matrices?

In this video we’re talking about everything you need to know about matrix multiplication.

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Learn mathKrista KingNovember 9, 2016multiply matrices
What are differential equations?

Differential equations are usually classified into two general categories: partial differential equations, which are also called partial derivatives, and ordinary differential equations.

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Learn mathKrista KingOctober 19, 2016differential equations
Why can't logarithms be negative?

The only numbers you can plug into a logarithm are positive numbers not equal to 1.

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Learn mathKrista KingOctober 11, 2016logarithms, negative exponents
What are imaginary numbers?

Imaginary numbers are any numbers that include the imaginary number i.

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Learn mathKrista KingOctober 4, 2016imaginary numbers
What are similar triangles?

You’ve heard about similar triangles, but do you know what technically makes two triangles similar?

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Learn mathKrista KingSeptember 21, 2016similar triangles, triangles
What are partial sums?

Ever wondered what a partial sum is? The simple answer is that a partial sum is actually just the sum of part of a sequence.

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Learn mathKrista KingSeptember 15, 2016partial sums
Why do we rationalize the denominator?

Our math teachers always tell us to "rationalize the denominator", but most of the time they don't tell us why.

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Learn mathKrista KingSeptember 8, 2016rationalize, denominators
How do you convert a Riemann sum to a definite integral?

We know that Riemann sums estimate area, and we know that integrals find exact area.

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Learn mathKrista KingAugust 31, 2016riemann sum, convert, definite integrals
How does integration by parts work?

In this video we talk about why the integration by parts formula actually works.

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Learn mathKrista KingAugust 23, 2016integration
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