Even after thousands of years of ice crushing the northern hemisphere and temperatures of 20 degrees lower than those of today, many of the great giants of the ice age still walked the earth. It was only when the world had warmed up again that mammoths, woolly rhinos, sabre-toothed cats, giant ground sloths and glyptodonts finally became extinct. Professor Alice Roberts sets off on her last voyage back to the Ice Age to discover why.

The story of the Viking world's most famous warrior, the legend of Beowulf is the ultimate tale of courage. Pit against thirsty invaders, barbaric monsters and a fire breathing dragon, Beowulf emerges as Norse mythology's greatest hero. But could this warrior have actually been real? Unearthed burial mounds and ancient carvings suggest the myth of Beowulf might have been more than epic legend.

This programme describes the Red Army's dramatic advance and the German's brutal resistance. Witnesses reveal how the final days of the conflict were barbarous almost beyond comprehension.

Part 2 examines how the freewheeling modernism that had shocked audiences in the first two decades of the century came under state control. Initially, many practitioners thought the totalitarian regimes would be good for music and the arts. What followed in Germany was a ban on music written by Jews, African-Americans and communists, while in the Soviet Union there was a prohibition on music the workers were unable to hum. After the cataclysm of the 1940s, a new generation of composers - Boulez, Stockhausen, Xenakis, Nono, Ligeti - turned their back on what they saw as the discredited music of the past and tried to reinvent it from scratch. Or, at least, from serialism, which became as much of a straitjacket as totalitarianism's strictures had been. But from this period of avant-garde experimentation, which many listeners found baffling and terrifying, came some of the most influential and radical musical innovations of the century.

A travel across Armenia, one of the most fascinating places in Europe. The marvelous adaptation of the Armenian people, their exemplary spiritual strength and the establishment of enduring culture have made possible ​​the consolidation of a lineage that for millennia, has kept alive the legacy of one of the world's oldest civilizations.

Marcus Du Sautoy wants to find out how close we are to creating machines that can think like us: robots or computers that have artificial intelligence. His journey takes him to a strange and bizarre world where AI is now taking shape. Marcus meets two robots who are developing their own private language, and attempts to communicate to them. He discovers how a super computer beat humans at one of the toughest quiz shows on the planet, Jeopardy". And finds out if machines can have creativity and intuition like us. Marcus is worried that if machines can think like us, then he will be out of business. But his conclusion is that AI machines may surprise us with their own distinct way of thinking.