Lecture 1. The joy of math : the big picture -- lecture 2. The joy of numbers -- lecture 3. The joy of primes -- lecture 4. The joy of counting -- lecture 5. The joy of Fibonacci numbers -- lecture 6. The joy of algebra -- lecture 7. The joy of higher algebra -- lecture 8. The joy of algebra made visual -- lecture 9. The joy of 9 -- lecture 10. The joy of proofs -- lecture 11. The joy of geometry -- lecture 12. The joy of pi. lecture 13. The joy of...

There is a bit of a mystery about Ramses's reign. Its last 40 years were rather sedentary. In considering what might have happened, you will see how a pharaoh with the resources of Ramses prepared himself and his family for the next world.

Begin your study journey with the Vivaldi brothers' ill-fated journey to India. What drove the brothers - or drives any explorer - to take a risk and venture into the unknown? Consider that question as you look at theories on how the Pacific islands became populated starting with an epic movement 7,000 years ago.

Algebra I is one of the most critical courses that students take in high school. Not only does it introduce a powerful reasoning tool with applications in many different careers, it is a gateway to higher education. Because algebra involves a new way of thinking, it can be especially challenging. Professor Sellers begins with a review of fractions, decimals, percents, positive and negative numbers, and numbers raised to various powers. Variables are...

Humans constantly use radio transmission these days, for everything from military communications to garage-door openers. How can scientists determine which signals come from Earth and which come from space? Learn how the 300-foot telescope was built quickly and cheaply. It ended up studying pulsars and hydrogen in distant galaxies, and made the case for dark matter.

The word "scientist" wasn't invented until the 19th century, but we would nonetheless apply the word to the many scientific thinkers of the Golden Age. Here, you'll witness the process of experimentation that was the start of the scientific method, and you'll see how scientists of the time advanced the field of chemistry.

Take the next step beyond Lewis structures to see how atoms in a molecule are arranged in three dimensions. VSEPR theory (valence-shell electron-pair repulsion theory) provides chemists with a quick way to predict the shapes of molecules based on a few basic assumptions.

The City of God is arranged into two broad parts. Here at the halfway point, recap Books 1 through 10 and analyze the first half of the text as a whole. At this point, Augustine has laid the groundwork for a transition from a largely apologetic argument to something more transformative in the second half.

Writing about the past is fraught with snares. Find out how to sidestep them with Dr. Colletta's dos and don'ts for writing historical narratives. These include using period vocabulary; evoking the senses through sounds, textures, and aromas; and avoiding the danger of viewing the past through the lens of the present.

The Battle of Karbala represents the defining moment in the split between the two main branches of Islam. Learn about how the faith came to violent internal conflict so early in its history, assess the nature of the underlying dispute over succession, and witness the political and religious fallout from the battle itself.