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Courseware
After reviewing tools from probability, statistics, and elementary differential and partial differential equations, concepts such as hedging, arbitrage, Puts, Calls, the design of portfolios, the derivation and solution of the Blac-Scholes, and other equations are discussed.
- Subjects:
- Finance and Mathematics and Statistics
- Keywords:
- Business mathematics
- Resource Type:
- Courseware
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Video
At Crash Course, we believe that high quality educational videos should be available to everyone for free! Subscribe for weekly videos from our current courses! Right now, we're producing Organic Chemistry and European History. We also recently teamed up with Arizona State University to bring you two more courses: Study Hall Composition, and Study Hall Algebra. The Crash Course team has produced more than 32 courses on a wide variety of subjects, including organic chemistry, literature, world history, biology, philosophy, theater, ecology, and many more!
- Keywords:
- Open educational resources
- Resource Type:
- Video
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Video
Often people make decisions that are not "rational" from a purely economical point of view — meaning that they don't necessarily lead to the best result. Why is that? Are we just bad at dealing with numbers and odds? Or is there a psychological mechanism behind it? Sara Garofalo explains heuristics, problem-solving approaches based on previous experience and intuition rather than analysis.
- Subjects:
- Psychology
- Keywords:
- Decision making
- Resource Type:
- Video
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Video
Physics and marketing don't seem to have much in common, but Dan Cobley is passionate about both. He brings these unlikely bedfellows together using Newton's second law, Heisenberg's uncertainty principle, the scientific method and the second law of thermodynamics to explain the fundamental theories of branding.
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Video
Origami, which literally translates to "folding paper," is a Japanese practice dating back to at least the 17th century. In origami, a single, traditionally square sheet of paper can be transformed into almost any shape, purely by folding. The same simple concepts yield everything from a paper crane with about 20 steps, to a dragon with over 1,000 steps. Evan Zodl explores the ancient art form.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Origami -- Mathematics
- Resource Type:
- Video
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Video
Mathematics is not about following rules, it's about playing—and exploring, fighting, looking for clues, and sometimes even breaking things, according to Dan Finkel. In this playful, inspiring talk, the founder of Math for Love offers teachers and parents alike a five-step guide to sharing the beauty and playfulness of mathematical thinking with children.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics -- Study teaching
- Resource Type:
- Video
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Video
In this engaging talk, high school math teacher and YouTube star Eddie Woo shares his passion for mathematics, calling it an extra sense that we can all access. Using real-world examples of geometry, he encourages everyone to seek out the patterns around them for "a whole new way to see the world."
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics
- Resource Type:
- Video
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Video
Mohamad Jebara loves mathematics -- but he's concerned that too many students grow up thinking that this beautiful, rewarding subject is difficult and boring. His company is experimenting with a bold idea: paying students for completing weekly math homework. He explores the ethics of this model and how it's helping students -- and why learning math is crucial in the era of fake news.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics -- Study teaching
- Resource Type:
- Video
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Video
During the Cold War, Soviet educators were tasked with raising citizens who could out-innovate and out-build their American counterparts. One of their primary tools for doing so? Math. Educator Masha Gershman describes how the adaptive, highly social Soviet approach to teaching math can be deployed to prep new generations for an ever-shifting future.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics -- Study teaching
- Resource Type:
- Video
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Video
Basketball is a fast-moving game of improvisation, contact and, ahem, spatio-temporal pattern recognition. Rajiv Maheswaran and his colleagues are analyzing the movements behind the key plays of the game, to help coaches and players combine intuition with new data. Bonus: What they're learning could help us understand how humans move everywhere.
- Subjects:
- Computing
- Keywords:
- Basketball Sports -- Data processing
- Resource Type:
- Video
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Video
Physicist Werner Heisenberg said, "When I meet God, I am going to ask him two questions: why relativity? And why turbulence? I really believe he will have an answer for the first." As difficult as turbulence is to understand mathematically, we can use art to depict the way it looks. Natalya St. Clair illustrates how Van Gogh captured this deep mystery of movement, fluid and light in his work.
- Subjects:
- Physics
- Keywords:
- Turbulence Starry night (Gogh Vincent van)
- Resource Type:
- Video
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Video
Would mathematics exist if people didn't? Did we create mathematical concepts to help us understand the world around us, or is math the native language of the universe itself? Jeff Dekofsky traces some famous arguments in this ancient and hotly debated question.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics -- Philosophy
- Resource Type:
- Video
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Video
When two people join a dating website they are matched according to shared interests and how they answer a number of personal questions. But how do sites calculate the likelihood of a successful relationship? Christian Rudder one of the founders of popular dating site OKCupid details the algorithm behind 'hitting it off.'
- Subjects:
- Computing and Mathematics and Statistics
- Keywords:
- Dating services Computer algorithms Online dating
- Resource Type:
- Video
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Video
Scott Rickard set out to engineer the ugliest possible piece of music, devoid of repetition, using a mathematical concept known as the Costas Array. In this surprisingly entertaining talk, he shares the math behind musical beauty ... and its opposite.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Repetition in music Mathematics Composition (Music)
- Resource Type:
- Video
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Video
Physicist Geoffrey West has found that simple, mathematical laws govern the properties of cities -- that wealth, crime rate, walking speed and many other aspects of a city can be deduced from a single number: the city's population. In this mind-bending talk from TEDGlobal he shows how it works and how similar laws hold for organisms and corporations.
- Subjects:
- Environmental Engineering and Mathematics and Statistics
- Keywords:
- Cities towns -- Growth -- Econometric models Sustainable urban development
- Resource Type:
- Video
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Video
From rockets to stock markets, many of humanity's most thrilling creations are powered by math. So why do kids lose interest in it? Conrad Wolfram says the part of math we teach -- calculation by hand -- isn't just tedious, it's mostly irrelevant to real mathematics and the real world. He presents his radical idea: teaching kids math through computer programming.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics -- Study teaching
- Resource Type:
- Video
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Video
Margaret Wertheim leads a project to re-create the creatures of the coral reefs using a crochet technique invented by a mathematician -- celebrating the amazements of the reef, and deep-diving into the hyperbolic geometry underlying coral creation.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Crocheting Coral reef ecology
- Resource Type:
- Video
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Video
Robert Lang is a pioneer of the newest kind of origami -- using math and engineering principles to fold mind-blowingly intricate designs that are beautiful and, sometimes, very useful.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Origami -- Mathematics
- Resource Type:
- Video
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Video
Consider the following sentence: "This statement is false." Is that true? If so, that would make the statement false. But if it's false, then the statement is true. This sentence creates an unsolvable paradox; if it's not true and it's not false– what is it? This question led a logician to a discovery that would change mathematics forever. Marcus du Sautoy digs into Gödel's Incompleteness Theorem.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Incompleteness theorems Gödel's theorem
- Resource Type:
- Video
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Video
When Nicolas Bourbaki applied to the American Mathematical Society in the 1950s, he was already one of the most influential mathematicians of his time. He'd published articles in international journals and his textbooks were required reading. Yet his application was firmly rejected for one simple reason: Nicolas Bourbaki did not exist. How is that possible? Pratik Aghor digs into the mystery.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics -- History Bourbaki Nicolas Functions
- Resource Type:
- Video