Скачать или смотреть 大學微積分基礎極速學 EP10 -- 泰勒多項式、牛頓法 | 廣東話 Speedy Calc for Beginners -- Taylor's Polynomial, Newton's Method

本集主題：n次可導、線性近似、泰勒展開、牛頓法
Theme of this episode: n-times differentiable, Linear Approximation, Taylor's Expansion, Newton's Method

只用多項式也能模擬常見函數的形狀，而且可以達至任意的近似度。本片更講解近似式於解方程的應用。
With only polynomials we can simulate the shape of common functions to arbitrary closeness. We also touched on how approximations are applied in solving equations.

大一程度的微積分到底是學什麼？記得留意我們一系列極速講述微積分概念的影片。適合正收讀相關課程的學生用作複習，或對數學感興趣的中學生。
What is in first year University Calculus? Stay tuned for more advanced concepts in under 3 minutes each! Created for undergraduates revising for a relevant course and interested high school students.

本頻道旨在以淺白的方式介紹大學數學本科的內容，同時亦會利用較初階數學課題協助眾位學生鑽研屬於自己的解題心法。小弟個人分享，不吝賜正。 This channel aims to introduce degree mathematics, requiring minimal foundation from the audience. At the same time, we help students build their own system on problem solving using topics of elementary mathematics. Comments on mistakes are very welcomed.