Calculus II: Taylor and Maclaurin series

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In this video, we discuss what a Taylor and Maclaurin series is and how to represent functions using these series.

00:00 - Introduction
00:28 - Derivation of a Taylor and Maclaurin series
10:32 - Example 1
12:24 - Example 2
14:21 - Example 3
19:29 - Example 4
27:20 - Example 5
29:46 - Example 6
38:24 - Example 7
  1. Math for Thought
  2. Calculus II
  3. MATH 101
  4. Area
  5. Examples
  6. series calculus 2
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Комментарии
Автор

At 32:10, I wrote the division of two negative gives a negative. That was a typo. It should be -16x^5/4x instead of -16x^5/-4x.

MathforThought
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45:45 Hey thats me :) Thank you for the videos, they really have carried me throughout the term

nicolasazzolini
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hey cloudy, so for ln(2) (in the taylor example 4), using the zeroeth derivative, do we just always "add" the constant with the series? might be a dumb question, but just making sure in other variants like these.

jasonmantri
Автор

at 24:00 could u explain why f^n(2)= (-1)^(n+1) *and everything else* because when we previously discussed a general formula before putting a value of x(=2) we had (-1)^n term to account for alternating signs in terms

Nazia-ry