This online math course develops the mathematics needed to formulate and analyze probability models for idealized situations drawn from everyday life. Topics include elementary set theory, techniques for systematic counting, axioms for probability, conditional probability, discrete random variables, infinite geometric series, and random walks. Applications to card games like bridge and poker, to gambling, to sports, to election results, and to inference in fields like history and genealogy, national security, and theology. The emphasis is on careful application of basic principles rather than on memorizing and using formulas.

In 22 lectures, Yale historian Paul Freedman takes you on a 700 year tour of medieval history. Moving from 284–1000 AD, this free online course covers "the conversion of Europe to Christianity, the fall of the Roman Empire, the rise of Islam and the Arabs, the 'Dark Ages,' Charlemagne and the Carolingian renaissance, and the Viking and Hungarian invasions." And let's not forget St. Augustine and the "Splendor of Byzantium."

You can stream all of the lectures above. Or also find them on YouTube, iTunes and this Yale website.

Color and shape are powerful communicators in design and illustration — and this class will hone your skills.

Join famed illustrator Olimpia Zagnoli for an insightful class exploring her thoughtful, unexpected use of color. Inspired by her Italian upbringing and artists she admires, her illustrations are the perfect vehicle for exploring the interplay of inspiration and techniques — and ways you can combine them in your own graphic illustration work.

undefined