# Mathematics

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## 264 Videos in *Mathematics*

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Page 1

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…

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.

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…

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 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?

Geometry—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…

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…

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…

The Joy of Fibonacci Numbers

Episode 5 of The Joy of Mathematics

Episode 5 of The Joy of Mathematics

The Fibonacci numbers follow the simple pattern 1, 1, 2, 3, 5, 8, etc., in which each number is the sum of the two preceding numbers. Fibonacci numbers have many beautiful and unexpected properties, and show up in nature, art,…

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…

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…

N is a Number: A Portrait of Paul Erdös

A man with no home and no job, Paul Erdos was the most prolific mathematician who ever lived. Born in Hungary in 1913, Erdos wrote and co-authored over 1,500 papers and pioneered several fields in theoretical mathematics. At the age…

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…

Permutations

Part of the Series: Probability and Statistics Tutor Series

Part of the Series: Probability and Statistics Tutor Series

This program covers the important topic of permutations in Probability and Statistics. We begin by discussing what a permutation is and why it is a central topic in probability. Next, we solve several problems that involve permutations to give students…

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…

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…

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…

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…