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While in Calc I we used Linear Approximations, can we approximate functions by quadratics, cubics, etc? Indeed, Taylor Series (and Maclauren series when they are centered at x=0) provide a method for effective approximation of functions locally. And the best part is all we need to know is a lot of information about derivatives all at one point, and this is enough to get, typically, a decent approximation locally. **************************************************** YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems! **************************************************** ►Full Course Playlist: CALCULUS II: • Calculus II (Integration Methods, Ser... **************************************************** Other Course Playlists: ►CALCULUS I: • Calculus I (Limits, Derivative, Integ... ►DISCRETE MATH: • Discrete Math (Full Course: Sets, Log... ►LINEAR ALGEBRA: • Linear Algebra (Full Course) *************************************************** ► Want to learn math effectively? Check out my "Learning Math" Series: • 5 Tips To Make Math Practice Problems... ►Want some cool math? Check out my "Cool Math" Series: • Cool Math Series ***************************************************** ►Check out my 2nd Channel for lower production quality "live" math videos: / @drtreforuvic ***************************************************** ►Follow me on Twitter: / treforbazett ***************************************************** This video was created by Dr. Trefor Bazett, an Assistant Professor, Educator at the University of Cincinnati. BECOME A MEMBER: ►Join: / @drtrefor MATH BOOKS & MERCH I LOVE: ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett