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Taylor Series and Power Series Made Easy - Review of Calculus

Steve Brunton via YouTube

Overview

This course provides a high-level review of Taylor Series and Power Series from Calculus, with simple examples and code in Python and Matlab. The learning outcomes include understanding how to solve Ordinary Differential Equations (ODEs) analytically by hand and numerically on a computer using Taylor Series. The individual skills taught include defining the Taylor Series, series expansion for sine and cosine, and coding examples in Matlab and Python. The teaching method involves a video lecture format with visual aids and coding demonstrations. The intended audience for this course is learners interested in gaining a deeper understanding of Taylor Series and its applications in solving ODEs.

Syllabus

Defining the Taylor Series Two Ways
Example: Series Expansion for Sine, sinx
Example: Series Expansion for Cosine, cosx
Matlab Code Example
Python Code Example

Taught by

Steve Brunton

Reviews

4.0 rating, based on 1 Class Central review

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  • Profile image for Jathin
    Jathin
    instructors: The instructors are highly knowledgeable and passionate about the subject matter. They have a knack for explaining complex concepts in a clear and understandable manner, making the material accessible to students of all levels. Addition…

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