Hosted by internationally acclaimed math educator Dr. Monica Neagoy, this program offers guidance in the notation of functions and distinguishes the concept of function from a general relation. Demonstrations of functions are provided using the TI-Nspire graphing calculator. The video covers quadratic functions, linear functions, and multiple representations.
In its purest form it can provide endless riddles and puzzles to solve and provide solutions and answers to some of life’s biggest questions. And in practical ways it can help us make the best possible choices. This episode explores some of the wonders of mathematics, a scientific language used to explain the physical world and write the blueprints of the future.
In this program submarines, evolution, and telescopes are all part of a discussion of rational functions. In the first segment, functions are used to calculate how much water pressure a submarine can withstand before it implodes. Studying the ratio of surface area to volume of both a snake and a polar bear in the second segment yields clues about how animals have adapted to their environment. Finally, the inner workings of the Hubble space telescope are explained in terms of rational functions.
The Sun is more active now than it's been for a decade, sending eruptions of super-heated plasma and vast waves of radiation towards Earth—with the potential to disrupt our lives in dramatic ways. Using satellite the expertise of Britain's leading solar scientists, Kate Humble and Helen Czerski reveal the inner workings of our very own star, and the influence its cycles of activity have on our planet.
Big Ben was an engineering marvel when it was built, accurate to within one second per hour. By the 19th century, advances in technology had established a reliable unit of distance as well, basing the length of t meter on a portion of the Earth’s circumference rather than on the arm of whichever monarch was in power. In this program, Marcus du Sautoy reviews the history and current status of the meter and the second and explains how their standardization was a boon to both science and the economy. Beginning with cave paintings and ending with the atomic clock, du Sautoy also reveals the role that Henry Ford played in synchronizing the counting of time.
In this program, Professor Marcus du Sautoy explores mathematical milestones of ancient Egypt, Mesopotamia, and Greece. Topics include Egypt’s unusual method of multiplication and division, as well as Egyptns’ understanding of binary numbers, fractions, and solids such as the pyramid; Babylon’s base-60 number system—the foundation of minutes and hours—and Babylonians’ use of quadratic equations to measure land; and the contributions of four of Greece’s mathematical giants: Plato, Euclid, Archimedes, and Pythagoras.
To some, Jackson Pollock’s art is a chaotic mass of paint, but those who love his work may be reacting to the fact that the splatters are actually fractals, and thus mirror the patterns of the natural worldIn this program, Professor Marcus de Sautoy explores recurring shapes found in nature and the geometric principles that unite them. He reveals that the stones of the Giant’s Causeway are six-sided for the same reason that honeycombs are, and explains why soap bubbles are spheres—except when they’re dodecahedrons. In addition, a Pixar cofounder shows how Mandelbrot’s theories were used to create the first virtual worlds.
The world today is obsessed by time. Johnson boards a submarine to discover what a lack of natural light means for a sailor’s working day and visits Heathrow, the world’s busiest airport, to try to get timings right air traffic control. The story of getting a grip on time is full of curious garage tinkerers. One of them, railway clerk William F. Allen, was so exasperated by the chaos caused by the 8,000 local times zones in the U.S. that he fought tirelessly to standardize time into four zones. Learn how advancements in navigation, the way we work, technology and travel would have been impossible without the unsung heroes of time.
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