Calculus is an incredibly useful tool for deriving new physics. Check out this video's sponsor https://brilliant.org/dos Here is a brief description of calculus, integration and differentiation and one example of where it is useful: deriving new physics. In this video I start with a very simple derivation which shows the relationship between momentum and kinetic energy, and then show a simple introduction to integration and differentiation. When I learned physics at University one of the most satisfying experiences was getting to grips with calculus enough to use it to derive equations as it allowed me to wield mathematics to describe the world, which felt awesome. #mathematics #calculus #DomainOfScience I have posters available to buy here: https://www.redbubble.com/people/dominicwalliman I have also made versions available for educational use which you can find here: https://www.flickr.com/photos/95869671@N08/ Thanks so much to my supporters on Patreon. If you enjoy my videos and would like to help me make more this is the best way and I appreciate it very much. https://www.patreon.com/domainofscience Also, if you enjoyed this video, you will probably like my science books, available in all good books shops around the work and is printed in over 20 languages. Links are below or just search for Professor Astro Cat. They are fun children's books aimed at the age range 4+ and 7+. But they are also a hit with adults who want good explanations of science. The books have won awards and the app won a Webby. Frontiers of Space: http://nobrow.net/shop/professor-astro-cats-frontiers-of-space/ Atomic Adventure: http://nobrow.net/shop/professor-astro-cats-atomic-adventure/ Human Body Odyssey: http://nobrow.net/shop/professor-astro-cats-human-body-odyssey/ Solar System Book (age 4+): http://nobrow.net/shop/professor-astro-cats-solar-system/ Solar System App: http://www.minilabstudios.com/apps/professor-astro-cats-solar-system/ Find me on twitter, instagram, and my website: http://dominicwalliman.com/ https://twitter.com/DominicWalliman https://www.instagram.com/dominicwalliman https://www.facebook.com/domainofscience https://www.patreon.com/domainofscience