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.

This program covers the important topic of refrigerators in Physics. We begin by discussing how refrigerators are just “heat engines” operated in reverse because they require energy to pump heat away from an object. The entire lesson is taught by working example problems beginning with the easier ones and gradually progressing to the harder problems. Emphasis is placed on giving students confidence in their skills by gradual repetition so that...

Physics is frequently one of the hardest subjects for students to tackle because it is a combination of two of the toughest subjects for most students: Math and Word Problems. What sets this series apart from other physics teaching tools is that the concepts are taught entirely through step-by step example problems of increasing difficulty. It works by introducing each new concept in an easy to understand way and using example problems that are worked...

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.

Since the dawn of humanity, corpses have held lasting significance for us. In this lecture, probe the various ways human civilizations have "disposed" of corpses - from burial (the oldest method for which evidence still exists) and mummification to cremation and natural exposure (known as "excarnation").

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.

Learn the 24 letters of the Greek alphabet using the restored classical pronunciation, recognizing that there was some variation in pronunciation in the ancient world. Practice the pairings of vowels called diphthongs, and sound out a selection of words that you will soon be reading in sentences.

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.

Every year, on the 2nd Thursday of November, the entire country of South-Korea is put to the test. That day, more than half a million senior high school students take part in the National University Exam, better known as Suneung. ‘REACH FOR THE SKY’ tells the story of several South-Korean high school students, their families and teachers, as they prepare for the annual National Exam. The exam will not only determine where the high school seniors...