Summary: 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...

Format: software, multimedia

Publisher / Publication Date: Films Media Group 2007

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Summary: 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.

Format: software, multimedia

Publisher / Publication Date: Films Media Group 2007

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Summary: 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.

Format: software, multimedia

Publisher / Publication Date: Films Media Group 2007

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Summary: In the spirit of a famous rhetorical question, this program explores the world of scientific measurement at the molecular and atomic level. Host Alan Davies tries to establish the length of a piece of household string-but what appears to be a simple task soon turns into a mind-bending voyage of discovery. After discussing the matter with leading mathematician Marcus du Sautoy, Davies learns...

Format: software, multimedia

Publisher / Publication Date: Films Media Group 2010

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Summary: How do definite and indefinite integrals differ? What do Riemann sums add up? And how far will "Cowpoke" chase his dream? This program tells all, beginning with a thorough examination of definite integrals and Riemann sums. Then, the piece de resistance-the Fundamental Theorem of Calculus-is unveiled. A study of the area between two curves and the area between a curve and the x-axis rounds out...

Format: software, multimedia

Publisher / Publication Date: Films Media Group 2007

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Summary: 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.

Format: software, multimedia

Publisher / Publication Date: Films Media Group 2007

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Summary: With the advent of Bernhard Riemann's zeta-hypothesis, the study of prime numbers took on astonishing new dimensions-including a way to predict the appearance of primes. This program focuses on the numerical landscape which Riemann's calculations opened up and examines the work of subsequent mathematicians who challenged the notion of a finite set of prime numbers. Using state-of-the-art 3-D...

Format: software, multimedia

Publisher / Publication Date: Films Media Group 2006

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Summary: 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.

Format: software, multimedia

Publisher / Publication Date: Films Media Group 2007

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Summary: 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.

Format: software, multimedia

Publisher / Publication Date: Films Media Group 2007

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Summary: 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.

Format: software, multimedia

Publisher / Publication Date: Films Media Group 2007

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Summary: 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.

Format: software, multimedia

Publisher / Publication Date: Films Media Group 2007

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Summary: The special characteristics of prime numbers have intrigued and confounded mathematicians since ancient times. Outlining the basics of primes-including their unique multiplicative properties and their supposedly random appearance in the number line-this program details the early history of prime number theory, beginning with discoveries that took place in the Hellenistic world. The film...

Format: software, multimedia

Publisher / Publication Date: Films Media Group 2006

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Summary: What if twelve strangers were deposited in separate locations all over New York City and ordered to find each other-without being told where to look? This ABC News program presents an intriguing psychological puzzle involving participants who must join up-somehow, somewhere-in a city of eight million people. Incorporating principles from the mathematical discipline known as game theory, the...

Format: software, multimedia

Publisher / Publication Date: Films Media Group 2006

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Summary: 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.

Format: software, multimedia

Publisher / Publication Date: Films Media Group 2007

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Summary: Many consider Alan Turing to be the father of computer science-mainly because of his cryptography machine, which cracked the German code during World War II. But Turing created his device before the war-not for military purposes, but in the hope of disproving the Riemann hypothesis. This program gives an account of Turing's unresolved zeta function research, the tragic conclusion of his life,...

Format: software, multimedia

Publisher / Publication Date: Films Media Group 2006

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Hergé

Summary: Whether he's trolling the high seas for treasure or blasting off for the moon, young reporter-sleuth Tintin and his faithful dog, Snowy, have delighted readers everywhere for generations with their timeless adventures. Join Tintin and Snowy as they tackle the toughest mysteries around the world in The Castafiore Emeralds, Flight 714, and Tintin and the Picaros.

Format: text

Publisher / Publication Date: Little, Brown and Co. 1992

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Summary: "Am I going to use calculus in real life?" That's the question asked of nearly every math teacher - and many fall short of a satisfactory answer. In this TEDTalk, mathematician and magician Arthur Benjamin offers a bold proposal on how to make math education relevant in the digital age. Benjamin combines his two passions in "Mathemagics," a mind-boggling presentation of lightning calculations...

Format: software, multimedia

Publisher / Publication Date: Films Media Group 2009

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