# Mathematics

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## 263 Videos in *Mathematics*

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Page 1

The Joy of Math - The Big Picture

Episode 1 of The Joy of Mathematics

Episode 1 of The Joy of Mathematics

Professor Benjamin introduces the ABCs of math appreciation: The field can be loved for its applications, its beauty and structure, and its certainty. Most of all, mathematics is a source of endless delight through creative play with numbers.

Why Study Logic?

Episode 1 of An Introduction to Formal Logic

Episode 1 of An Introduction to Formal Logic

Influential philosophers throughout history have argued that humans are purely rational beings. But cognitive studies show we are wired to accept false beliefs. Review some of our built-in biases, and discover that logic is the perfect corrective. Then survey what…

The Power of a Mathematical Picture

Part of the Series: The Power of Mathematical Visualization

Part of the Series: The Power of Mathematical Visualization

Professor Tanton reminisces about his childhood home, where the pattern on the ceiling tiles inspired his career in mathematics. He unlocks the mystery of those tiles, demonstrating the power of visual thinking. Then he shows how similar patterns hold the…

Big Dream - Young Women Entering STEM Fields

This film follows the intimate stories of seven young women who are breaking barriers and overcoming personal challenges to follow their passion in science, math, computing & engineering (STEM) fields. Through video diaries and verite moments, each of these girls…

Strangeness in Statistics

Part of the Series: Mind-Bending Math: Riddles and Paradoxes

Part of the Series: Mind-Bending Math: Riddles and Paradoxes

While some statistics are deliberately misleading, others are the product of confused thinking due to Simpson's paradox and similar errors of statistical reasoning. See how this problem arises in sports, social science, and especially medicine, where it can lead to…

Math in Your Head!

Episode 1 of Secrets of Mental Math

Episode 1 of Secrets of Mental Math

Dive right into the joys of mental math. First, learn the fundamental strategies of mental arithmetic (including the value of adding from left to right, unlike what you do on paper). Then, discover how a variety of shortcuts hold the…

Introduction to Logical Concepts

Episode 2 of An Introduction to Formal Logic

Episode 2 of An Introduction to Formal Logic

Practice finding the logical arguments hidden in statements by looking for indicator words that either appear explicitly or are implied--such as "therefore" and "because." Then see how to identify the structure of an argument, focusing on whether it is deductive…

The Joy of Numbers

Episode 2 of The Joy of Mathematics

Episode 2 of The Joy of Mathematics

How do you add all the numbers from 1 to 100--instantly? What makes a square number square and a triangular number triangular? Why do the rules of arithmetic really work, and how do you calculate in bases other than 10?

Geometryâ€”Ancient Ropes and Modern Phones

Episode 1 of Geometry

Episode 1 of Geometry

Explore the origins of one of the oldest branches of mathematics. See how geometry not only deals with practical concerns such as mapping, navigation, architecture, and engineering, but also offers an intellectual journey in its own right--inviting big, deep questions.

An Introduction to the Course

Part of the Series: Algebra I

Part of the Series: Algebra I

Professor Sellers introduces the general topics and themes for the course, describing his approach and recommending a strategy for making the best use of the lessons and supplementary workbook. Warm up with some simple problems that demonstrate signed numbers and…

Let the Games Begin!

Episode 1 of The Mathematics of Games and Puzzles

Episode 1 of The Mathematics of Games and Puzzles

Explore some general strategies for successfully solving simple games and puzzles. As you hone your skills at games and puzzles, including 20 Questions, Mastermind, Ghost, The Tower of Hanoi, variations of Tic Tac Toe, and Cram (a cross between checkers…

Percents, Decimals, and Fractions

Part of the Series: Algebra I

Part of the Series: Algebra I

Continue your study of math fundamentals by exploring various procedures for converting between percents, decimals, and fractions. Professor Sellers notes that it helps to see these procedures as ways of presenting the same information in different forms.

Everything in This Lecture Is False

Part of the Series: Mind-Bending Math: Riddles and Paradoxes

Part of the Series: Mind-Bending Math: Riddles and Paradoxes

Plunge into the world of paradoxes and puzzles with a "strange loop," a self-contradictory problem from which there is no escape. Two examples: the liar's paradox and the barber's paradox. Then "prove" that 1+1=1, and visit the Island of Knights…

The Joy of Primes

Episode 3 of The Joy of Mathematics

Episode 3 of The Joy of Mathematics

A number is prime if it is evenly divisible by only itself and one: for example, 2, 3, 5, 7, 11. Professor Benjamin proves that there are an infinite number of primes and shows how they are the building blocks…

Optimal Blackjack and Simple Card Counting

Episode 3 of The Mathematics of Games and Puzzles

Episode 3 of The Mathematics of Games and Puzzles

Depending on how you play it, blackjack can be the best or the worst game in a casino. Here, Professor Benjamin shows you how to get the best of blackjack before it gets the best of you. By taking you…

Informal Logic and Fallacies

Episode 3 of An Introduction to Formal Logic

Episode 3 of An Introduction to Formal Logic

Explore four common logical fallacies. Circular reasoning uses a conclusion as a premise. Begging the question invokes the connotative power of language as a substitute for evidence. Equivocation changes the meaning of terms in the middle of an argument. And…

What Time Is It?

Do we really know what time it is? CERN physicist Professor Brian Cox (and author of E=mc2) unlocks the secrets of time in this entertaining and informative program. His journey starts with the Sun, our historical dictator of time, but…

Solving Sudoku

Episode 10 of The Mathematics of Games and Puzzles

Episode 10 of The Mathematics of Games and Puzzles

What's the key to solving Sudoku problems when you're at your wits' end? Training your mind to look for patterns and to use careful logic, just like mathematicians. This episode is packed with helpful techniques and strategies for overcoming even…

Visualizing Negative Numbers

Part of the Series: The Power of Mathematical Visualization

Part of the Series: The Power of Mathematical Visualization

Negative numbers are often confusing, especially negative parenthetical expressions in algebra problems. Discover a simple visual model that makes it easy to keep track of what's negative and what's not, allowing you to tackle long strings of negatives and positives--with…

Games of Chance and Winning Wagers

Episode 2 of The Mathematics of Games and Puzzles

Episode 2 of The Mathematics of Games and Puzzles

Turn now to games that rely heavily on chance and betting, such as roulette and craps, and learn how to evaluate the fairness (or unfairness) of games using the ever-important concept of expected value. Once you know if a game…