Category Archives: Topics

space shuttle differentiation

This pencast includes another practical example of the usefulness of calculus. This particular problem involves a camera that is tracking the ascent of the space shuttle, and introduces trigonometric differentiation. space shuttle differentiation brought to you by Livescribe

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derivatives and related rates pt. 2

This pencast is a continuation of “derivatives and related rates pt. 1″. logarithmic differentiation pt.2brought to you by Livescribe

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derivatives and related rates pt. 1

Differential calculus is particularly useful when studying the motion of particles or objects. This pencast uses the concept of related rates to track the velocity of two moving objects. NOTE: This particular pencast continues in “derivatives and related rates pt. … Continue reading

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hiking differentiation

The concept of differentiation can be difficult to grasp simply because it involves a large set of rules, techniques and abstract concepts. In this pencast I use a practical example involving the speed at which two hikers are moving apart … Continue reading

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log, inv. tan. differntiation

In this pencast, I review logarithmic function differentiation, and introduce methods to differentiate inverse-tangent functions. log, inv. tan. differntiationbrought to you by Livescribe

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logarithmic differentiation pt.2

In previous pencasts, I explore the usefulness of logarithmic differentiation. What if you come across an equation that not only involves logarithms, but trigonometric functions? In this pencast, I go over ways to solve these kinds of problems. logarithmic differentiation … Continue reading

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advanced logarithmic differentiation

Logarithmic differentiation isn’t only useful for problems involving population growth, or other scientific-related topics. Sometimes the method can be used as a special trick to solve problems that don’t necessarily involve logarithms. advanced logarithmic differentiationbrought to you by Livescribe

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logarithmic differentiation pt.1

In this pencast, I explore some of the uses of logarithmic differentiation. These techniques are particularly applicable to chemistry, as these techniques help us understand how chemical reactions work! logarithmic differentiation pt.1brought to you by Livescribe

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Integrating Trigonometric and Exponential Functions

The power rule is of no use when it comes to antidiffernetiation. In these circumstances, you need to know special rules and procedures in order to evaluate the interval of a definite or indefinite integral. integrating trig and exp funcsbrought … Continue reading

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Fundamental Theorem of Calculus

The “Fundamental Theorem of Calculus” may sound intimidating, but it’s pretty easy to apply. All it describes is how to evaluate an integral over a given span along the x-axis. Finding the antiderivative of the function is, like before, simple. … Continue reading

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Evaluating Basic Integrals

In this pencast I evaluate several basic integrals, usually using the antiderivative power rule. evaluating basic integralsbrought to you by Livescribe

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Basic Integrals

In this pencast I go over some very simple integration examples, particularly using the antiderivative power rule. basic integralsbrought to you by Livescribe

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Applications of Derivatives

You’ve probably spent a great deal of time figuring out how to find the derivative of a function. In this pencast, I discuss a useful, common application of derivatives. Physics is a field that is continuously applying the concept of … Continue reading

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Limits of Radical Functions Pt. 2

In this pencast I provide additional examples of finding the limit of a radical function, and in particular, using the conjugate method. more radical limitsbrought to you by Livescribe

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Limits of Radical Functions Pt. 1

Radical functions are difficult to account for in an algebraic expression. They especially pose problems when you are trying to find limits. In this pencast I discuss how to account for them by multiplying by their conjugates. radical limitsbrought to … Continue reading

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