Does the celebrated harmonic series diverge or converge? Discover a proof using the integral test. Then generalize to define an entire class of series called p-series, and prove a theorem showing when they converge. Close with the sum of the harmonic series, the fascinating Euler-Mascheroni constant, which is not known to be rational or irrational.

Innovation expert Ted Dintersmith took a trip across America, visiting all fifty states in a single school year. He originally set out to raise awareness about the urgent need to reimagine education to prepare students for a world marked by innovation -- but America's teachers one-upped him. All across the country, he met teachers in ordinary settings doing extraordinary things, creating innovative classrooms where children learn deeply and joyously...

To truly understand the subject of death, you have to be able to define it. Here, discover how the definition of death exists on multiple levels and how each of these levels - the religious, biological, philosophical, cultural, legal, and political - determines when a living being becomes a dead one.

Put your precalculus skills to use by splitting up complicated algebraic expressions to make them easier to integrate. Learn how to deal with linear factors, repeated linear factors, and irreducible quadratic factors. Finally, apply these techniques to the solution of the logistic differential equation.

Should death be considered "bad"? Should we even bother fearing it? As you reflect on philosophical arguments by the ancient Epicurus (who thought death wasn't bad for the dead) and the modern Thomas Nagel (who believes we should fear death), you'll consider the possibility that both sides are right.

In America, death rituals display a remarkable diversity and range from the minimalist to the extravagant. Chart the evolution of American funerals by looking at three major periods: the traditional (exemplified by Puritan burial rites), the modern (characterized by professionalization), and the post-modern (where loved ones play a more active role).

In this lecture on what Professor Berkson calls "an inescapable part of the human condition," unpack the feelings and behaviors of the grieving process. Topics include the evolutionary benefits of grief, the five stages of grief laid out by Elizabeth Kübler-Ross, and the three categories of grieving identified by psychologist George Bonanno.

Learn why quadratic equations have "quad" in their name, even though they don't involve anything to the 4th power. Then try increasingly challenging examples, finding the solutions by sketching a square. Finally, derive the quadratic formula, which you've been using all along without realizing it.

"Words" is an exploration of how people navigate identity in the open and evolving landscape of New York City. Using some of NYC's most fluid scenes as a backdrop, "Words" investigates the dissonance between self and socially constructed identities as well as how these identities are contextualized in a range of environments from the world of the arts to the NYPD.

The seven kings of Dynasty XII built pyramids, fostered great literature (often for political purposes), and consolidated power once again in the center.