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3Blue1Brown
Taylor series: Essence of Calculus - Part 11 of 11
Taylor series are extremely useful in engineering and math, but what are they? This video shows why they're useful, and how to make sense of the formula.
3Blue1Brown
Taylor series | Chapter 10, Essence of calculus
Taylor series are extremely useful in engineering and math, but what are they? This video shows why they're useful, and how to make sense of the formula.
3Blue1Brown
Taylor series | Essence of calculus, chapter 11
Taylor series are extremely useful in engineering and math, but what are they? This video shows why they're useful, and how to make sense of the formula.
Khan Academy
Khan Academy: Calculus: Taylor Polynomials
Video lesson showing the formula for a Taylor series expansion to five terms and uses it to approximate the cosine function. Includes the graphs of a specific number of terms of the approximate function using a graphing calculator. [18:05]
Khan Academy
Khan Academy: Calculus: Polynomial Approximations of Functions (Part 5)
Video lesson using a Maclaurin series to approximate a sine function by using a polynomial function. Generalizes the expansion of sine using sigma notation and relates it to the expansion for cosine. [9:24]
Khan Academy
Khan Academy: Calculus: Approximating Functions With Polynomials (Part 3)
Video lesson using a Maclaurin series to approximate an exponential function by using a polynomial expansion. Provides two different definitions for e. [7:13]
Khan Academy
Khan Academy: Calculus: Generalized Taylor Series Approximation
Video lesson showing how to approximate a function at any value using a polynomial by deriving the formula for a Taylor series. [7:27]
Khan Academy
Khan Academy: Calculus: Visualizing Taylor Series Approximations
Video lesson using the Wolfram Alpha website to show the graphs of the Maclaurin series expansion of the sine function, demonstrating that approximations with more terms are better approximations of the sine curve. [6:01]
Khan Academy
Khan Academy: Calculus: Visualizing Taylor Series for E^x
Video lesson using a Taylor series to approximate e^x around x=3 by using a polynomial function and then showing some of the graphs of the expansion by using the Wolfram Alpha website. [6:38]
Khan Academy
Khan Academy: Calculus: Maclaurin and Taylor Series Intuition
Video lesson showing how to approximate a function at 0 using a polynomial by deriving the formula for a Maclaurin series. [12:58]
Khan Academy
Khan Academy: Calculus: Taylor Series at 0 (Maclaurin) for E to the X
Video lesson using a Maclaurin series to approximate an exponential function by using a polynomial function and relates its polynomial approximation to that for the sine and cosine functions. [6:10]
Khan Academy
Khan Academy: Calculus: Sine Taylor Series at 0 (Maclaurin)
Video lesson using a Maclaurin series to approximate a sine function by using a polynomial function. [6:33]
Khan Academy
Khan Academy: Calculus: Euler's Formula and Euler's Identity
Video lesson using the polynomial approximations for the sine, cosine and exponential functions from Maclaurin series to derive Euler's formula and Euler's identity. [11:27]
Khan Academy
Khan Academy: Calculus: Cosine Taylor Series at 0 (Maclaurin)
Video lesson using a Maclaurin series to approximate a cosine function by using a polynomial function. [5:37]
Khan Academy
Khan Academy: Maclaurin and Taylor Series: Visualizing Taylor Series for E^x
Video lesson using a Taylor series to approximate e^x around x=3 by using a polynomial function and then showing some of the graphs of the expansion by using the Wolfram Alpha website.
Khan Academy
Khan Academy: Taylor Series at 0 (Maclaurin) for E to the X
Video lesson using a Maclaurin series to approximate an exponential function by using a polynomial function and relates its polynomial approximation to that for the sine and cosine functions.
Khan Academy
Khan Academy: Maclaurin and Taylor Series: Sine Taylor Series at 0 (Maclaurin)
Video lesson using a Maclaurin series to approximate a sine function by using a polynomial function.