In the third episode we will see Europe by the 17th century taking over from the Middle East as the powerhouse of mathematical ideas. Great strides had been made in understanding the geometry of objects fixed in time and space. The race was on to discover the mathematics to describe objects in motion. This programme explores the work of Rene Descartes, Pierre Fermat, Isaac Newton, Leonard Euler and Carl Friedrich Gauss. Du Sautoy proceeds to describes René Descartes realisation that it was possible to describe curved lines as equations and thus link algebra and geometry. He talks with Henk J. M. Bos about Descartes. He shows how one of Pierre de Fermat’s theorems is now the basis for the codes that protect credit card transactions on the internet. He describes Isaac Newton’s development of math and physics crucial to understanding the behaviour of moving objects in engineering. He covers the Leibniz and Newton calculus controversy and the Bernoulli family. He further covers Leonhard Euler, the father of topology, and Gauss' invention of a new way of handling equations, modular arithmetic. The further contribution of Gauss to our understanding of how prime numbers are distributed is covered thus providing the platform for Bernhard Riemann's theories on prime numbers. In addition Riemann worked on the properties of objects, which he saw as manifolds that could exist in multi-dimensional space.

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.

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.

Professor Marcus du Sautoy explores why we are driven to measure and quantify the world around us and why we have reduced the universe to just a handful of fundamental units of measurement. He tells the story of the metre and the second - how an astonishing journey across revolutionary France gave birth to the metre, and how scientists today are continuing to redefine the measurement of time and length, with extraordinary results.

In 1983 Hasbro bought the license of the Diaclone and Micro Change toys from Takara, then commissioned Marvel Comics to come up with a story-line and character names for the toys. The result: Transformers. Despite Tonka releasing the cheaper Gobots line six months earlier, Hasbro's Transformers took the toy market by storm in 1984, raking in US$150 million that year. At the peak of the toy line's popularity, The Transformers: The Movie hit theaters to further capitalize on its success, but the film polarized fans and collectors with the death of Optimus Prime and majority of the original characters. As Hasbro took full control of Transformers from Takara by the late 1980s, sales declined until the toy line was discontinued in 1991. After the failed Generation 2 reboot, Beast Wars rejuvenated the franchise in 1995.
In 2007, the live-action Transformers film solidified Transformers' position as Hasbro's flagship toy line.

Professor Marcus du Sautoy goes in search of answers to one of science's greatest mysteries: how do we know who we are? While the thoughts that make us feel as though we know ourselves are easy to experience, they are notoriously difficult to explain. He has his mind scrambled by a cutting-edge experiment in anaesthesia. After, Marcus is given an out-of-body experience in a bid to locate his true self.