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Taylor Polynomials & Approximations Examples | Calculus 2 - JK Math
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Example Problems For Finding Taylor Polynomials and Approximations (Calculus 2)
In this video we look at practice problems of finding Taylor and Maclaurin polynomials and how to use them to approximate values for functions. Additionally, we look at how to determine the error (remainder) associated with these approximations. Specifically, we find the error bound/maximum error (sometimes called the Lagrange form of the remainder, or Taylor’s Remainder Theorem).
This video series is designed to help students understand the concepts of Calculus 2 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture!
Calculus 2 requires a solid understanding of calculus 1, precalculus, and algebra concepts and techniques. This includes limits, differentiation, basic integration, factoring, equation manipulation, trigonometric functions, logarithms, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!
Video Chapters:
0:00 Example 1 - f(x) = e^(2x), 1st, 2nd, 3rd, 4th TP centered at c=3
9:25 Example 2 - f(x) = sec(x), 2nd TP centered at c=0
15:52 Example 3 Part 1 - Approximate sin(0.1)
24:14 Example 3 Part 2 - Maximum Error
30:36 Example 4 Part 1 - Approximate (28)^(1/3)
40:43 Example 4 Part 2 - Maximum Error
45:30 Outro
⚡️Math Products I Recommend⚡️
⚡️Textbooks I Use⚡️
⚡️My Recording Equipment⚡️
(Commissions earned on qualifying purchases)
Find me on social media:
Instagram: @jk_mathematics
Found this video to be helpful? Consider giving this video a like and subscribing to the channel!
Thanks for watching! Any questions? Feedback? Leave a comment!
-Josh from JK Math
#calculus
Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.
In this video we look at practice problems of finding Taylor and Maclaurin polynomials and how to use them to approximate values for functions. Additionally, we look at how to determine the error (remainder) associated with these approximations. Specifically, we find the error bound/maximum error (sometimes called the Lagrange form of the remainder, or Taylor’s Remainder Theorem).
This video series is designed to help students understand the concepts of Calculus 2 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture!
Calculus 2 requires a solid understanding of calculus 1, precalculus, and algebra concepts and techniques. This includes limits, differentiation, basic integration, factoring, equation manipulation, trigonometric functions, logarithms, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!
Video Chapters:
0:00 Example 1 - f(x) = e^(2x), 1st, 2nd, 3rd, 4th TP centered at c=3
9:25 Example 2 - f(x) = sec(x), 2nd TP centered at c=0
15:52 Example 3 Part 1 - Approximate sin(0.1)
24:14 Example 3 Part 2 - Maximum Error
30:36 Example 4 Part 1 - Approximate (28)^(1/3)
40:43 Example 4 Part 2 - Maximum Error
45:30 Outro
⚡️Math Products I Recommend⚡️
⚡️Textbooks I Use⚡️
⚡️My Recording Equipment⚡️
(Commissions earned on qualifying purchases)
Find me on social media:
Instagram: @jk_mathematics
Found this video to be helpful? Consider giving this video a like and subscribing to the channel!
Thanks for watching! Any questions? Feedback? Leave a comment!
-Josh from JK Math
#calculus
Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.
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