### Title: Is God a Number? Maths that Mimic the Mind

Description: If mathematics underpins the elegant precision of the macroscopic and microscopic worlds, is there a Master Mathematician as well? This fascinating...

Description: If mathematics underpins the elegant precision of the macroscopic and microscopic worlds, is there a Master Mathematician as well? This fascinating program examines the computational paradigms being used to model human consciousness and to quantify reality, from Euclidean geometry to fractal transform algorithms. Oxford mathematician Sir Roger Penrose, quantum physicist Reverend John Polkinghorne, compression technology expert Michael Barnsley, and physiologist Horace Barlow seek to understand how the brain functions-and grope for evidence of a guiding force. Outstanding computer graphics enhance this exploration of inner and outer space. (53 minutes)

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Year: 1998

### Title: Functions and Limits

Description: What is calculus, anyway, and how is it used? Answers to these and other questions can be found in section one of this program, along with a concise...

Description: What is calculus, anyway, and how is it used? Answers to these and other questions can be found in section one of this program, along with a concise review of graphing and functions. Section two posits the intuitive definition of limits and follows up with numerous examples to demonstrate how to find a limit through substitution, factoring, and using conjugates. (24 minutes)

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Year: 1999

### Title: One-Sided Limits and Limits Involving Infinity

Description: Are one-sided limits unfair? And how does infinity fit into the equation? This program provides the requisite rules and notations for working with...

Description: Are one-sided limits unfair? And how does infinity fit into the equation? This program provides the requisite rules and notations for working with left- and right-hand limits. Limits involving infinity are also described, highlighting the concepts of increasing and decreasing without bound and vertical and horizontal asymptotes. Determining limits by inspection is covered as well. (32 minutes)

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Year: 1999

### Title: Continuity and Differentiability

Description: After Denim Dog, General Rule, and other experts wrap up the subjects of continuity and discontinuity, this program introduces the derivative....

Description: After Denim Dog, General Rule, and other experts wrap up the subjects of continuity and discontinuity, this program introduces the derivative. Practical examples of derivatives are provided, along with insights into the concepts of tangent lines and slopes. The Derivative Definition is explained as well, reinforced by plenty of sample problems. (31 minutes)

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Year: 1999

### Title: Derivative Rules and Tangent Lines

Description: What does an unemployed hardware salesman know about calculus? The answer to that and other questions can be found in this program, which features...

Description: What does an unemployed hardware salesman know about calculus? The answer to that and other questions can be found in this program, which features rugged tools for reducing the complexity of working with derivatives, including the Power Rule, e Rule, Natural Logarithm Rule, Product Rule, and Quotient Rule. Finding the equations of tangent lines and the Point-Slope Formula complete the program. (24 minutes)

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Year: 1999

### Title: Higher Derivatives and the Chain Rule

Description: What do you get when you calculate the derivative of a derivative of a derivative? After taking the headaches out of understanding higher-order...

Description: What do you get when you calculate the derivative of a derivative of a derivative? After taking the headaches out of understanding higher-order derivatives, this program zooms in on the Chain Rule, used alone and in combination with the Power Rule. Examples of the Chain Rule, including its application to a series of gears, reinforce the understanding of this key concept. (21 minutes)

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Year: 1999

### Title: Curve Sketching

Description: How does art figure into calculus? This program illustrates applications of the derivative through graphing. Ably assisted by the Voice of Common...

Description: How does art figure into calculus? This program illustrates applications of the derivative through graphing. Ably assisted by the Voice of Common Sense, elements such as critical points, points of inflection, extreme values, increasing and decreasing curves, and concavity are all plotted out, with abundant sample problems. (23 minutes)

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Year: 1999

### Title: Extrema and Max/Min Word Problems

Description: Behind every calculus problem, neatly packaged and ready to solve, is a word problem. But before coming to terms with word problems, this program...

Description: Behind every calculus problem, neatly packaged and ready to solve, is a word problem. But before coming to terms with word problems, this program examines local extrema and local maximums and minimums. Next, the first- and second-derivative tests for local extrema are studied. Finally, max/min word problems-like how to make packaging for Uncle Skippy's Premium Edible Dirt-are addressed, and the five-step process for solving them is applied. (34 minutes)

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Year: 1999

### Title: Position, Velocity, and an Introduction to Antiderivatives

Description: Is it true that there is an infinite number of antiderivatives for every derivative? Before answering that question, this program concentrates on...

Description: Is it true that there is an infinite number of antiderivatives for every derivative? Before answering that question, this program concentrates on three interrelated functions: position, velocity, and acceleration. Then, the mysterious nature of the general antiderivative is laid bare, revealing the indefinite integral-another name for the same thing. (24 minutes)

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Year: 1999

### Title: Integration Techniques

Description: Is the opposite of integration disintegration? This program deftly dissolves any such misconceptions as it presents the four keys to successful...

Description: Is the opposite of integration disintegration? This program deftly dissolves any such misconceptions as it presents the four keys to successful integration: the Integration Formula for a Constant, the Power Rule, the Natural Logarithms Rule, and the Exponential Rule. When to use each-and in what order-is carefully considered. How to apply substitution is examined as well. (21 minutes)

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Year: 1999