Discrete Math II/Combinatorics (Entire course) - Discrete Math II - 6.4.1 The Binomial Theorem

We start with a bit of review of sigma notation and some understanding of exactly what the binomial theorem is all about before jumping into the binomial theorem and its associated formula. We then take a look at a few typical applications of the binomial theorem by finding a binomial expansion and finding the coefficient of a binomial expansion. We finish with proving a binomial identity using the binomial theorem. Video Chapters: Intro 0:00 Sigma Notation 0:21 Properties of Summations 2:18 Understanding the Binomial Theorem 4:43 The Binomial Theorem 7:56 Direct Application of the Binomial Theorem 11:27 Proving an Identity with the Binomial Theorem 16:49 Two Corollaries for You to Prove 18:41 Up Next 19:20 This playlist uses Discrete Mathematics and Its Applications, Rosen 8e Power Point slide decks to accompany the videos can be found here: https://bellevueuniversity-my.sharepoint.com/:f:/g/personal/kbrehm_bellevue_edu/Ei9DcmrOBTlAuMxWUoq9ZqsB14M60jcpob-xdAYS6ruVWw?e=uP9KN0 The entire playlist can be found here: https://www.youtube.com/playlist?list=PLl-gb0E4MII0sGLCJeqDB3y63HZ6lM5LJ