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Intro to FOURIER SERIES: The Big Idea

Welcome to my new playlist on Fourier Series. In this first video we explore the big idea of taking a periodic function and approximating it with sin and cos terms of various frequencies. We will define Fourier Series and see what it means for the series to converge to the original function. We'll also see a bit about Gibbs phenomena and what happens around discontinuities. Rest of the videos in this playlist is here:    • Intro to FOURIER SERIES: The Big Idea   0:00 Periodic Functions 1:44 The Big Idea 5:28 Qualitative Features 7:17 Definition of Fourier Series MY DIFFERENTIAL EQUATIONS PLAYLIST: ►   • Ordinary Differential Equations (ODEs)   Open Source (i.e free) ODE Textbook: ►http://web.uvic.ca/~tbazett/diffyqs OTHER COURSE PLAYLISTS: ►DISCRETE MATH:    • Discrete Math (Full Course: Sets, Log...   ►LINEAR ALGEBRA:    • Linear Algebra (Full Course)   ►CALCULUS I:    • Calculus I (Limits, Derivative, Integ...   ► CALCULUS II:    • Calculus II (Integration Methods, Ser...   ►MULTIVARIABLE CALCULUS (Calc III):    • Calculus III: Multivariable Calculus ...   ►VECTOR CALCULUS (Calc IV)    • Calculus IV: Vector Calculus (Line In...   ►LAPLACE TRANSFORM:    • How to solve ODEs with infinite serie...   OTHER PLAYLISTS: ► Learning Math Series    • 5 Tips To Make Math Practice Problems...   ►Cool Math Series:    • Cool Math Series   BECOME A MEMBER: ►Join:    / @drtrefor   MATH BOOKS & MERCH I LOVE: ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett SOCIALS: ►Twitter (math based):   / treforbazett   ►Instagram (photography based):   / treforphotography