Marcus du Sautoy examines unsolved problems that confronted 20th-century mathematicians.
Harry vows revenge by taking down the head of Russia's intelligence service in Britain with the help of Lucas North. Lucas's loyalties, however, are secretly no longer with MI5 and he exploits Harry's trust to help a Russian submarine destroy Britain's communications system, causing financial and social chaos.
The team steps in when a British soldier is kidnapped by Al-Qaeda. Meanwhile, an old protégé of Harry's returns to the fold after eight years in a Russian prison - but whose side is he really on?
Trapped, Nathan and Tracy must fight to save their lives against Suresh, who has changed dramatically. Elle returns with shocking news for Claire and her family. Meanwhile, Angela tries to convince Sylar to save Peter; Daphne is ordered to kill Matt or she will be killed herself; and Hiro questions Usutu's advice.
MUFON - the Mutual UFO Network - investigate a UFO sighting, and possible alien abduction, using the tools of science, psychology and law enforcement.
David and Geneva bought their fixer-upper in search of more room for their growing family. But four years later, the renovations are still not completed and Geneva is fed up. David, on the other hand, thinks all the house needs is a little more work and it could be the perfect home for their now family of four. But one of the main problems with the house starts at the front door... if you can even find it. The home's address is on one street, but their "front entrance" is on another street. On top of that, much of the home is cold, and there's a lack of privacy--the kids' room is attached to the master bedroom. Fed up with the dysfunctional layout that lacks a proper front entrance, David and Geneva call upon experts Jillian and Todd for some much needed solutions. Jillian and her design team will transform their house into an open concept oasis, while Todd will convince the family it's time for a new home. In the end, will they love it or list it?
Audrina wants to make things work with Corey, but finds herself torn when Justin drops by Epic. Meanwhile, Stephanie starts having doubts about her new boyfriend when he fails to defend her in front of Brody.
Clyde threatens Sarah but they manage to talk him out of it, which leads Sarah Jane to believe that Trueman's control on people can be repressed by persuading them to do something that they do not normally want to do. Meanwhile, using in his broadcast to the world, Martin Trueman takes over each star sign one by one, starting with Gemini - including Rani's mother. The world is in confusion as people are accepting the 'Ancient Lights'.
Efficiency expert Emmett Milbarge pays the Buy More a visit to inspect the branch, while a global terrorist looks for Jeff. Chuck needs to socialize with Jeff to find out about his connection to the terrorist. Finally, it all comes down to video games and the prevention of World War III.
Jenny has a new young model friend, named Agnes, who encourages Jenny to explore her wild side, and also to confront Eleanor Waldorf who is planning to steal Jenny's designs in order to pass them off as her own. Meanwhile, Serena and Dan attend Rufus' latest art opening as friends, but then Serena meets an artist, named Aaron Rose, and the evening gets a little uncomfortable for Dan. Elsewhere, Blair attempts to seduce Chuck, but he proves to be tougher than she ever imagined. Also, Jenny begins to have a mutual feelings with Nate as he's staying with her, Dan, and Rufus while searching for a place to live.
Shirley defends the notorious Catherine Piper after she accidentally blows up her doctor. Meanwhile, Alan and Denny take a break from the office, but they are out of their element at a dude ranch in Utah.
Harry's Roadhouse (Santa Fe, N.M.) • Dor-Stop Restaurant (Pittsburgh, Pa.) • Surrey's Cafe (New Orleans, La.) Guy Fieri checks out breakfast from east to southwest: In New Orleans, a juice bar makin' bagels from scratch; a New Mexico roadhouse mixin' Philly food with Southwestern favorites; and in Pittsburgh, a family joint scratch-making pancakes with everything from peanut butter to pumpkin.
Lucas' novel receives interest from a suprising person, as does Mouth as he meets his new intern. Jamie begins to develop a crush on Sam and her rebellious ways, while someone becomes enamored with Brooke. Meanwhile, Haley and Nathan discuss his return to baskeball as his comeback begins to look more like a reality.
A nuclear scientist insists on making a deal with the team before revealing information about an imminent terrorist attack on a major U.S. city; Kim, Molly and Tiffy are asked to work under cover with Jonas.
Driven by a hidden agenda, Dave convinces Susan to throw Mrs. McCluskey a surprise party for her 70th birthday. Jackson wants to take his relationship with Susan to the next level. Gabrielle's concerned she might be pregnant. Tom tells Lynette he's sold the pizzeria. A startling reason for the bond between Bree and Katherine is revealed. And finally, an outraged Mrs. McCluskey has the entire neighborhood questioning her sanity.
In order to distract Hank from his heartbreak, Ashby arranges a sex session with popular, yet incredibly annoying, celebrity chef, Chloe Metz. Charlie takes on a new client who’s eager to land the lead in a porn film called Vaginatown. Charlie meets with the film’s director and secures her the part, but only after investing $100,000 of his own savings.
The office scrambles without Don; Betty learns some disconcerting news.
When Arthur Clennam returns to England after many years abroad, his curiosity is piqued by the presence in his mother's house of a young seamstress, Amy Dorrit. The cold and forbidding Mrs Clennam isn't usually given to charity, so why has she made an exception in taking on Amy? Is she making reparations for a past wrongdoing? Does it have anything to do with Arthur's father's dying words and the pocket watch with its mysterious inscription, 'do not forget'?
As Dexter struggles when Rita pushes to move in together before getting married, Miguel tells Dexter that a husband has murdered his two wives for a financial gain and gotten away with it. Dexter finds this to be the perfect candidate to get away and satisfy that dark urge which every man with relationship pressures go through. Dexter tracks the murderer to Bimini. While he is on the hunt, Rita disappears due to a medical emergency. Meanwhile, Debra works with Anton, her confidential informant to track down one of Freebo’s criminal confidants. But Oddly enough Debra finds herself attracted to Anton.