American paleontologist Pete Larson and his team discovered the largest and most complete Tyrannosaurus rex ever found (nicknamed 'Sue') while digging in the badlands of South Dakota. However the skeleton was seized from Larson by the federal government, followed by a ten-year-long battle with the FBI, the National Park Service, the Bureau of Indian Affairs, and Maurice Williams, on whose property the bones were discovered. Pete Larson also spent 18 months in prison." After the film aired, The Society of Vertebrate Paleontology, a society of professional academic paleontologists, issued a statement of full support for legally protecting fossils on public land and criticized Dinosaur 13 for implying that government regulations impede paleontological science

Reptiles and amphibians look like hang-overs from the past. But they overcome their shortcomings through amazing innovation. The pebble toad turns into a rubber ball to roll and bounce from its enemies. Extreme slow-motion shows how a Jesus Christ lizard runs on water, and how a chameleon fires an extendible tongue at its prey with unfailing accuracy. The camera dives with a Niuean sea snake, which must breed on land but avoids predators by swimming to an air bubble at the end of an underwater tunnel. In a TV first, Komodo dragons hunt a huge water-buffalo, biting it to inject venom, then waiting for weeks until it dies. Ten dragons strip the carcass to the bone in four hours.

Ideas about time and space are explored in the changes that constellations undergo over time, the redshift and blue shift measured in interstellar objects, time dilation in Albert Einstein's theory of relativity, the designs of both Leonardo da Vinci and spacecraft that could travel near light speed, time travel and its hypothetical effects on human history, the origins of the Solar System, the history of life, and the immensity of space. In Cosmos Update, the idea of faster-than-light travel by wormholes (researched by Kip Thorne and shown in Sagan’s novel Contact) is discussed.

A dynamic journey behind the scenes of the next step in the evolution of telescopes: NASA's James Webb Space Telescope. A new generation has been inspired to design and build this massive instrument, which is 100 times more powerful than the Hubble Space Telescope and will be a veritable time machine, capable of looking back on the origins of our universe and identifying signatures of potential life on planets far outside our solar system". With unprecedented access to the people and technologies that power its creation, including astrophysicists, engineers at Northrop Grumman, and personnel from NASA'S Goddard Space Flight Center and the Space Telescope Science Institute, the operations center for Hubble and Webb, Telescope spotlights the high-stakes mission of building this massive new scientific instrument. The film is a comprehensive look at the dynamic history of 400 years of telescopes starting with Galileo in 1609. The Webb is the next great telescope in society's ongoing mission to see farther into the universe and answer fundamental questions that have haunted mankind from the beginning of time. Directed by Oscar nominated filmmaker Nathaniel Kahn

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.

Sagan discusses the story of the Heike crab and artificial selection of crabs resembling samurai warriors, as an opening into a larger discussion of evolution through natural selection (and the pitfalls of intelligent design). Among the topics are the development of life on the Cosmic Calendar and the Cambrian explosion; the function of DNA in growth; genetic replication, repairs, and mutation; the common biochemistry of terrestrial organisms; the creation of the molecules of life in the Miller-Urey experiment; and speculation on alien life (such as life in Jupiter's clouds). In the Cosmos Update ten years later, Sagan remarks on RNA also controlling chemical reactions and reproducing itself and the different roles of comets (potentially carrying organic molecules or causing the Cretaceous–Paleogene extinction event).