The Great Courses (Firm)

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.

Can we predict behavior and personality based on the body or the face? Are taller people more likely to earn more money than shorter people? What makes someone's face attractive? Dr. Frank looks at the myths and facts about how age-old cultural references in seeking mates and partners have evolved into snap judgments about personality types, which can have an effect on our potential success.

Professor Benjamin begins his discussion of mathematical proofs with intuitive cases like "even plus even is even" and "odd times odd is odd." He builds to more complexproofs by existenceandinduction, and ends with a checkerboard challenge.

Shakespeare's plays are masterworks, but they can be hard to understand for a modern English speaker. Gain direct insight into Shakespeare's writing in this course which explains how to enter Shakespeare's world, how to grasp what's happening in his plays, and how to enjoy each play on both the page and the stage.

Examine some new grammatical expressions that are on the rise, and explore the controversy they ignite within the linguistic community. Remember that English usage is a living process, and language must respond to its audience and context, adapting as necessary to fit new conditions. Conclude by considering changes to watch for in our language.

As context for this modern symphonic masterpiece, investigate the nearly inconceivable atrocities committed against Poland during World War II by Hitler's and Stalin's regimes, encompassing efforts by both aggressors to destroy Polish nationhood. Learn about Henryk Gorecki's life in wartime and in the repressive era that followed, and hear the sublimely beautiful "Symphony of Sorrowful Songs"that expresses the Polish experience through sung prayers...

Turn now to chemical energy, the potential energy resulting from the position of atoms within molecules. After an overview of photosynthesis (perhaps the universe's most amazing form of energy conversion), learn how combustion transforms biofuels into light and heat, and how energy density affects the transportation of biofuels like petroleum.

For anyone interested in understanding the profound effect Jesus had on the world, it's important to realize that his actions and teachings didn't emerge from a vacuum. Rather, they were the product of a fascinating dialogue with-and reaction to-the traditions, cultures, and historical developments of ancient Jewish beliefs. In fact, early Judaism and Jesus are two subjects so inextricably linked that one cannot arrive at a true understanding of Jesus...

Now experiment with bottom-up design, an approach that starts with the available elements and builds from there. Utilize a Python module called turtle graphics to model robot motion, relying on the basic turtle commands: forward, backward, and turn left or right by an angle you specify.

Conclude by assessing the roles of the Arthurian legend in modern culture. Consider the associations of the saga in merchandising and the commercialization of historical sites, as well as its uses in pop culture and media. Finally, grasp the remarkable adaptability of King Arthur as a symbol of courage and hope..