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.

Taught by Professor Bradley Schaefer of Louisiana State University, this course shows how ancient Egyptians, Greeks, Indians, Chinese, and other cultures saw the sky. You learn how the Sun, Moon, and stars were their clock, calendar, and compass; constellations encoded their mythologies; and the heavens inspired religious and philosophical ideas, laying the foundation for modern science.

Darwin believed that musical behavior arose because it gave our early ancestors a biological advantage. But what advantage? Investigate Darwin's theory and other adaptationist explanations for the evolution of music. Then look at two alternatives: invention theories and gene-culture co-evolution theories..

The expansion of the Islamic civilization between the 8th and 10th centuries played a major role in the history of Afro-Eurasian states and cultures. Survey the story of Islam from the life of Mohammed to the Sunni-Shia split to the Islamic Golden Age. Review the pillars of the faith and the culture's impact on the world.

Begin your study of musical rhythm by distinguishing periodic from non-periodic rhythmic patterns. Periodicity can be thought of as beat; non-periodicity involves expressive techniques such as timing variations and phrasing. Close by asking whether composers write music in the rhythmic patterns of their native language..

Visit Theodore Roosevelt, Badlands, and Mount Rushmore National Parks in the Dakotas, beholding the landscape that inspired Theodore Roosevelt to become an ardent conservationist. Learn how the fantastic forms of the badlands are the product of deposition, uplift, and erosion..

Death serves as the horizon against which our lives unfold and shapes the choices we make about how to live. In fact, the knowledge of mortality has inspired much of human activity-religion, philosophy, music and visual arts, even scientific endeavors and monumental architecture have all been driven by our understanding of death. Whether viewed as a transition to paradise or punishment, an ultimate separation or ecstatic joining, the end of existence...

Begin your fascinating historical adventure by developing a solid framework for your exploration of Jesus's Jewish influences. What was it like to be a Jew in the ancient world? What do we mean when we talk about Jewish temples? And how similar was ancient Judaism to other ancient religions..

Investigate a puzzle that defied some of the most brilliant minds in mathematics: the Monty Hall problem, named after the host of Let's Make a Deal! Hall would let contestants change their guess about the location of a hidden prize after revealing new information about where it was not.

This last lecture crowns the course by briefly summarizing 3,000 years of Egyptian history; outlining Egypt's legacy to us; surveying images of Egypt in film and literature; and listing ways you can pursue your interest in this remarkable civilization. Your learning needn't stop here!