"Some things can happen in our universe and others cannot. The laws of physics set this boundary between the possible and the impossible."--Container. Professor Schumacher takes the viewer into territory onboth sides of the impossibility line to examine these complex realms.

This program covers the important topic of Integration by Partial Fractions in Calculus. We begin by discussing what a Partial Fraction is, how it can be used to solve integrals, and why it is a central topic in Calculus. Next, we solve several practical calculus problems that give students practice with Integration by Partial Fractions. The entire lesson is taught by working example problems beginning with the easier ones and gradually progressing...

Logic is intellectual self-defense against such assaults on reason and also a method of quality control for checking the validity of your own views. But beyond these very practical benefits, informal logic—the kind we apply in daily life—is the gateway to an elegant and fascinating branch of philosophy known as formal logic, which is philosophy’s equivalent to calculus. Formal logic is a breathtakingly versatile tool. Much like a Swiss army...

In the frigid valleys of Japan’s Shiga Highlands, a troop of snow monkeys make their way and raise their families in a complex society of rank and privilege where each knows their place. Their leader is still new to the job and something of a solitary grouch. But one little monkey, innocently unaware of his own lowly social rank, reaches out to this lonely leader, forming a bond with him that manages over time to warm his less than sunny disposition....

"So how do you tell stories that stick-- in your own mind and in the minds of your family, friends, colleagues, and clients? That's precisely what you'll learn in The Art of Storytelling: From Parents to Professionals, an enthralling course that reveals the tried-and-true methods experienced storytellers use to develop and tell engaging, entertaining, and memorable tales. In 24 lectures, Professor Hannah B. Harvey of East Tennessee State University...

We commonly define the Pythagorean theorem using the formula a2 + b2 = c2. But Pythagoras himself would have been confused by that. Explore how this famous theorem can be explained using common geometric shapes (no fancy algebra required), and how it’s a critical foundation for the rest of geometry.

Quantum mechanics gives us a picture of the world so radically counterintuitive that it has changed our perspective on reality itself. In Quantum Mechanics: The Physics of the Microscopic World, award-winning Professor Benjamin Schumacher gives you the logical tools to grasp the paradoxes and astonishing insights of this field.

What is your definition of number? Defining the abstract idea of number is extremely difficult and today, we still struggle with the notion of what numbers mean. Numbers neither came to us fully formed in nature nor did they spring fully formed from the human mind. Like other ideas, they have evolved slowly throughout human history. Both practical and abstract, they are important in our everyday world but remain mysterious in our imaginations. If...

Contemporary advertising seldom demonstrates why one brand is superior, or constructs logical arguments to sway buyers. Advertisers today position instead of persuade. Position refers to a place the product occupies in the consumer's mind. Nobody likes to be told how to think, but few notice when told how to see. Explore perceptual mapping, market segmentation, the use of emotion and magic, social approval, positioning against the competition, re-positioning,...