The films begins at the Maine Correctional Center where Jacinta, 26, and her mother Rosemary, 46, are incarcerated together, both recovering from drug addiction. As a child, Jacinta became entangled in her mother's world of drugs and crime and has followed her in and out of the system since she was a teenager. This time, as Jacinta is released from prison, she hopes to maintain her sobriety and reconnect with her own daughter, Caylynn, 10. Despite her desire to rebuild her life for her daughter, Jacinta continually struggles against the forces that first led to her addiction.
With unparalleled access and a gripping vérité approach, director Jessica Earnshaw paints a deeply intimate portrait of mothers and daughters and the effects of trauma over generations.

In the fourth episode, Professor Marcus du Sautoy concludes his investigation into the history of mathematics with a look at some of the great unsolved problems that confronted mathematicians in the 20th century. After exploring Georg Cantor's work on infinity and Henri Poincare's work on chaos theory, he sees how mathematics was itself thrown into chaos by the discoveries of Kurt Godel and Paul Cohen, before completing his journey by considering some unsolved problems of maths today, including the Riemann Hypothesis.

Fancisco Pizarro hoped to find great riches in the land of the Inca when he set off on his third voyage to the new world in 1527. Travel back in time with Michael Wood and learn how Pizarro ransomed the life of a king for a room full of gold and silver. Trough letter and drawings from the 16th century and film from modern-day south America, discover this remarkable story of greed, faith, dishonor and valor.

In Bhutan, Palin finds himself back in the land of yaks for a last look at the high Himalaya. Trekking to Chomolhari base camp he meets a nomad with a penchant for yak songs before heading down to Paro to witness the Buddhist festival or Tsechu. In a bar in Thimphu, he discusses reincarnation and the pursuit of happiness with Benji and Khendum, two of the king's cousins, and en route to Bangladesh is taken by Benji to see the rare black-neck cranes. On his journey south through Bangladesh, Michael visits the ship-breaking beaches of Chittagong and grid-locked Dhaka. He meets a man who made a fortune in Birmingham in the poultry business, and a woman who lends money only to women. On a 1920s paddle steamer he is serenaded with the words of Bengal's Shakespeare, and he completes his epic Himalayan journey aboard a fishing boat that carries him out into the Bay of Bengal and a westering sun.

Ewan and Charley make their way to Peru from Bolivia, and the scenery is just beautiful. Ewan wanted to visit Machu Picchu since he was a kid and decides to show the world the Incan citadel set high in the Andes Mountains. Next up, they make their way to the Cutivireni, a community of Ashaninka people in the Amazon rainforest, with its carbon program to limit the magnitude or rate of global warming and its related effects.

A bistro is typically defined by its modesty – they are relatively small, affordable and humble. The bistro has become rather ubiquitous these days but despite its many incarnations, at its core, a bistro is a place where every man can eat, and eat well. With Petit Trois, Ludo Lefebvre has brought the spirit of the bistro to Los Angeles.
In this episode, Ludo brings us back to Paris to introduce us to some of the people and places that first inspired him to begin a culinary career.