The Standard Deviants answer a question that has baffled humanity since…oh, about 1700: What is calculus? The two men who created calculus, Isaac Newton and Gottfried Leibniz, aren’t around to explain it to you, so the Standard Deviants are going to do the job instead. Plus, review some basics of algebra, graphs, functions and limits.
Countries: US
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The Beginner’s Guide
Sure, we all know what periods, exclamation marks and question marks are, but you’d be surprised how often people use them incorrectly! By illustrating all of the rules and tricks, the Standard Deviants show you when and where you should – and shouldn’t – use these punctuation marks. You’ll also learn about that ever-useful punctuation mark, the comma.
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Limits
The sky’s the limit….on the types of limits the Standard Deviants are going to show you. But just as you think you’ve reached your limit on limits, the Standard Deviants pull the rug out from under you and turn your world upside-down as you boldly go off into infinity!
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Derivatives
What is an effect, the root of a word, a synonym for “credited”, and also a famous mathematical term? The answer: a derivative. The Standard Deviants are going to focus on the derivative’s celebrity status in math as the numero uno, grade-A rate of change.
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Work-Saving Rules
You can have your work cut out for you finding derivatives and tangents. The Standard Deviants lessen your workload with some rules that will make life easier. Rules that make life easier? That’s right. The power rule, E rule, and natural log rule will have you plotting points and drawing curves in no time flat.
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Finding Derivatives
The Standard Deviants give you a few more rules to help you survive, thrive, and derive in the jungles of calculus. The product rule, quotient rule, and chain rule will help you find derivatives no matter what shape or size they are.
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Derivative Applications
Is your brain drained? Is your inner voice out of breath? Do you want a little review? Okay then. The Standard Deviants go over all the major concepts and formulas from the first five programs and make sure all this calculus know-how sticks in your head. After that, learn about applications of derivatives, like critical points, functions, and derivative tests.
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Figuring Out Curves
The Standard Deviants are going to extremes. Out there in Graph Land there are curves that go back and forth, increase and decrease, and can never stand still. How does one find their extrema? Are the curves concave up or concave down? These questions and more will be answered.
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The Antiderivative
See how calculus saves the day no matter what the problem. The Standard Deviants figure out the cheapest sized delivery box for Uncle Skippy’s premium edible dirt business, find the instantaneous velocity of a Volkswagen Beetle being chased by stampeding elephants, and see how far a chicken can throw an egg.
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Practical Applications
Go against the grain as the Standard Deviants tackle the anti-derivative! Suddenly everything is reversed! Pigs can fly, lunch is free, money grows on trees and beggars can indeed be choosers. How does one find the anti-derivative? With a little process called integration.