Recent articles from Mathematics

From AP Calculus AB

The Mean Value Theorem and Rolle’s Theorem

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The Mean Value Theorem and its’ special case Rolle’s Theorem are two of the fundamental theorems in differential calculus. These theorems are usually learned at schools right after the derivatives and sometimes after the extreme values. They both have very clear physical and geometrical interpretations. This is why you’ll often ...

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From AP Calculus AB

AP Calculus AB Practice Exams

Need AP Calculus AB practice exam questions for the final push to get that 5? Educator.com has you covered with tons of resources we’ve gathered all over the web. And in case you need more help with specific topics, our own time-saving  AP Calculus AB video course will answer all ...

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From AP Calculus BC

AP Calculus BC Practice Exams

Need AP Calculus BC practice exam questions for the final push to get that 5? Educator.com has you covered with tons of resources we’ve gathered all over the web. And in case you need more help with specific topics, our own time-saving  AP Calculus BC video course will answer all ...

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From AP Statistics

AP Statistics Practice Exams

Need AP Statistics practice exam questions for the final push to get that 5? Educator.com has you covered with tons of resources we’ve gathered all over the web. And in case you need more help with specific topics, our own time-saving  AP Statistics video course will answer all your questions. ...

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From AP Computer Science

AP Computer Science Practice Exams

Need AP Computer Science practice exam questions for the final push to get that 5? Educator.com has you covered with tons of resources we’ve gathered all over the web. And in case you need more help with specific topics, our own time-saving  AP Computer Science video course will answer all ...

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From AP Calculus

Slopes of Curves

slopes of curves 7

Slope – Understanding the Term In mathematics, slope is a number that describes steepness and direction of a line. In most cases it is denoted by letter m. If slope is positive then the line is increasing, which means it goes up as we move from left to right. If ...

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From AP Calculus

The Limit of a Function

Limits FI

Formal Definition Let f(x) be a function defined on an interval that contains x=a. This function may, but does not have to be defined for input x=a. Then we say that: if for every arbitrarily small number there is some number (exists) such that whenever So what does this long ...

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From Geometry

Geometric Mean

Geometric Mean 2

You are probably familiar with the arithmetic mean, also known as the average, which is the sum of n numbers divided by n. The geometric mean is another type of mean where we multiply the numbers together and then take the nth root of the product. So the geometric mean ...

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From Geometry

Area of a Regular Polygon

Area of a Regular Polygon FI

Polygons are two-dimensional shapes, made of straight lines that connect up and form a closed figure. If a polygon has all sides equal, and all angles equal, it is called a regular polygon. Here we are going to learn how to find the area of a regular polygon. We are ...

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From Geometry

Surface Area of a Cylinder

Surface Area of a Cylinder FI

To find the total surface area of a cylinder, we need to find the areas of its three surfaces: the top circle, the bottom circle, and the area in the middle. The top and the bottom areas are easy to find. Since they are circles, we just use the formula ...

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