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How to calculate simple interest
How to calculate simple interest

Simple interest is different than compounded, or compounding, interest. With compounding interest, you earn interest on your interest, so that your money grows exponentially…

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Learn mathKrista KingOctober 5, 2017simple interest, how to calculate
What to do when the exponent is zero
What to do when the exponent is zero

Any nonzero real number raised to the power of zero is one, this means anything that looks like a^ will always equal 1 if "a" is not equal to zero.

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Krista KingOctober 4, 2017
What is a jump discontinuity?
What is a jump discontinuity?

In this video we’re talking about jump discontinuities, or discontinuities of the first kind.

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Krista KingOctober 3, 2017
Commutative property
Commutative property

Commutative comes from the word “commute” as in “the morning commute.” Since commute means to move you can remember that, when using the commutative property, the numbers will move around.

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Learn mathKrista KingOctober 2, 2017commutative property
Multiplying functions
Multiplying functions

When you have multiple functions, you can use some simple rules to find their sum, difference, product, or quotient.

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Learn mathKrista KingSeptember 28, 2017multiplying functions, multiplication
Present value of a single deposit, compounded continuously
Present value of a single deposit, compounded continuously

Keep in mind that present value is the opposite of future value. Future value is how much we need to have at some point in the future; present value is how much we need to have right now.

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Learn mathKrista KingSeptember 26, 2017values, single deposit
How do you sketch level curves of multivariable functions?

Whenever you're dealing with a multivariable function, the graph of that function will be a three-dimensional figure in space.

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Learn mathKrista KingSeptember 19, 2017curves, level curves, multivariable functions
One-sided limits

When you hear your professor talking about limits, he or she is usually talking about the general limit.

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Learn mathKrista KingSeptember 7, 2017limits, one-sided limits
Limits of composite functions - How to find them?

Remember that composite functions are “functions of functions”, which means that we have one function plugged into another function. As an example, sin(x^2) is a composite function because we’ve plugged the function x^2 into the function sin(x). Think of any function that as an “outer part” and an “inner part” as composite functions.

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Learn mathKrista KingSeptember 5, 2017limits, limits of composite functions
Rationalize the denominator

Remember that the phrase “rationalize the denominator” just means “get the square root(s) out of the denominator”.

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Learn mathKrista KingAugust 31, 2017rationalize, denominators
What does a triple integral represent?

It can be difficult to visualize what a triple integral represents, which is why in this video we’ll be answering the question, “What am I finding when I evaluate a triple integral?”

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Learn mathKrista KingAugust 29, 2017triple integral, integrals, trig identities
Error bounds

Remember that midpoint rule, trapezoidal rule, and Simpson’s rule are all different ways to come up with an approximation for area under the curve.

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Learn mathKrista KingAugust 24, 2017error bounds
What does a double integral represent?

Trig identities are pretty tough for most people, because 1) there are so many of them, and 2) they’re hard to remember, and 3) it’s tough to recognize when you’re supposed to use them!

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Learn mathKrista KingAugust 22, 2017double integral, integrals, trig identities
Trig identities - What are they?

Trig identities are pretty tough for most people, because 1) there are so many of them, and 2) they’re hard to remember, and 3) it’s tough to recognize when you’re supposed to use them!

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Learn mathKrista KingJuly 11, 2017trig identities
Scientific notation - How to do it?

Scientific notation is all about proper form. There’s only format that qualifies as proper scientific notation, and that’s the product of a decimal term and a power of 10. Moreover, the number to the left of the decimal point must be between 1 and 9.

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Learn mathKrista KingJuly 4, 2017scientific notation
Euler’s method - How to use it?

Euler’s method is a numerical method that you can use to approximate the solution to an initial value problem with a differential equation that can’t be solved using a more traditional method, like the methods we use to solve separable, exact, or linear differential equations.

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Learn mathKrista KingJune 27, 2017euler's method
Graph lines - How to?

The most important thing to remember about graphing lines is that you always need some combination of the slope of the line, and/or points on the line in order to graph it.

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Learn mathKrista KingJune 20, 2017graphing, graph lines
Partial derivatives - How to solve?

Partial derivatives are just like regular derivatives, but for multivariable functions.

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Learn mathKrista KingJune 13, 2017partial derivatives
Pythagorean theorem - What is it?

Pythagorean theorem is a tool you’ll use all the time when you’re dealing with triangles, and you will always be dealing with triangles, no matter what math class you’re taking.

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Learn mathKrista KingJune 6, 2017pythagorean theorem, triangles
Trig substitution - How to solve?

Trigonometric substitution (more affectionately known as trig substitution, or trig sub), is another integration method you can use to simplify integrals. 

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Learn mathKrista KingMay 30, 2017trig substitution, how to solve equations
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