# Mathematics

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## 264 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.

Fallacies of Cause and Effect

Episode 5 of An Introduction to Formal Logic

Episode 5 of An Introduction to Formal Logic

Consider five fallacies that often arise when trying to reason your way from cause to effect. Begin with the post hoc fallacy, which asserts cause and effect based on nothing more than time order. Continue with neglect of a common…

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 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…

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…

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 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?

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…

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…

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.

Mastering Rubik’s Cube

Episode 9 of The Mathematics of Games and Puzzles

Episode 9 of The Mathematics of Games and Puzzles

It's one of the most famous puzzles ever invented. But Professor Benjamin has an easy-to-learn, eight-step method for solving this mind-bending puzzle quickly and accurately--every time. After examining the mathematics behind the cube, you'll follow him step-by-step through an algorithm…

Visualizing Probability

Part of the Series: The Power of Mathematical Visualization

Part of the Series: The Power of Mathematical Visualization

Probability problems can be confusing as you try to decide what to multiply and what to divide. But visual models come to the rescue, letting you solve a series of riddles involving coins, dice, medical tests, and the granddaddy of…

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…

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…

Practical Poker Probabilities

Episode 5 of The Mathematics of Games and Puzzles

Episode 5 of The Mathematics of Games and Puzzles

Investigate the mathematics of Texas Hold'em, one of the most popular traditional poker games. What's the probability your hand will improve before and after more cards are revealed? How do you calculate your "pot odds" to help you determine your…

Bayes' Theorem

Part of the Series: Probability and Statistics Tutor Series

Part of the Series: Probability and Statistics Tutor Series

This program covers the important topic Bayes' Theorem in Probability and Statistics. We begin by discussing what Bayes' Theorem is and why it is important. Next, we solve several problems that involve the essential ideas of Bayes' Theorem to give…