Calculus

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Calculating Volume With Integrals
This lesson teaches students how to apply the concept of the integral in order to calculate the volume of an object. ...
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Calculus 2 Pack
The Standard Deviants are more fun than a textbook and cheaper than hiring a calculus tutor! Beginning with a review of...
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Calculus Part 1
Beginning with a review of functions and graphing, Part 1 jumps into the world of calculus by covering: limits, vertical and...
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Calculus Part 2
When you're ready to tackle advanced calculus, The Standard Deviants are ready to help! Part 2 covers applications of the...
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Complex Numbers
The difference between an imaginary and a complex number is introduced along with examples that allow students to practice...
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Curve Sketching Using Derivatives
This lesson teaches students how to sketch curves using the rules of Calculus and the properties of derivatives. Numerous...
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Derivatives and Integrals Of Exponentials
This lesson teaches students how to take derivatives of functions that involve an exponential and how to solve integrals...
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Derivatives Of Logarithms
This lesson teaches students how to solve integrals and take derivatives of functions that involve a logarithm. Many...
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Derivatives Of Trigonometric Functions
This lesson teaches students how to take derivatives of the trigonometric functions. Derivatives of sine, cosine, tangent,...
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Differentiation Formulas
This lesson continues the discussion of the derivative by presenting several differentiation formulas that are necessary to...
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Higher Order Derivatives
This lesson introduces the concepts associated with higher order derivatives in Calculus. Many real-world examples are...
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Improper Integrals
This lesson introduces the concept of the improper integral. These types of integrals have one or more limits of the...
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Integration By Parts
This lesson introduces students to the technique of integration known as integration by parts. The student is taught how to...
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Integration By Substitution
This lesson teaches students the powerful technique of integration known as integration by substitution. The student is...
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Integration By Trig Substitution
This lesson teaches students how to use trigonometric substitutions to solve integrals. Many examples are provided that...
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Introduction To Integrals
This lesson introduces one of the central topics in Calculus known as the integral. The integral is introduced as the...
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PreCalculus Part 2
Recommended by university professors and teachers nationwide, The Standard Deviants are the perfect resource for academic...
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Related Rates
This lesson teaches students how to solve related rates problems in Calculus. These types of problems are usually word...
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SDS Calculus 10 Pack
The DVD Super Pack contains Calculus Modules 1 through 9.
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SDS Calculus Module 2 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...
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Calculus is a central branch of mathematics, developed from algebra and geometry, and built on two major complementary ideas.

One concept is called differential calculus. It studies rates of change, which are usually illustrated by the slope of a line. Differential calculus is based on the problem of finding the instantaneous rate of change of one quantity relative to another. Examples of typical differential calculus problems are finding the following quantities:

The acceleration and speed of a free-falling body at a particular moment. The loss in speed and trajectory of a fired projectile, such as an artillery shell or bullet. Change in profitability over time of a growing business at a particular point. Another concept is called.

The other key concept is integral calculus. It studies the accumulation of quantities, such as areas under a curve, linear distance travel, or volume displaced. Integral calculus is the mirror image of differential calculus.