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所在平台: Udemy |
课程主页: https://www.udemy.com/course/how-calculus-helps-us-really-understand-trigonometry/
课程评论：没有评论
课程名称：微积分如何帮助我们真正理解三角函数 课程概述：本课程将以全新的方式教授微积分！传统的微积分学习方式遵循线性模型：代数-几何-极限-微分-积分。每个部分都是孤立教授，因此学生很难建立连接。没有办法连接这些知识点，深入理解微积分几乎是不可能的。因此，大多数学生只能记住零散的知识，而无法形成连贯和系统的理解。本课程则截然不同。我们将从微积分的最终用途出发，逐步以逻辑顺序接近微积分的核心内容。我们不会在第一天就抛出抽象的概念，而是会提出一个真实的问题，激励你主动思考下一步该做什么。例如，我们不会在一开始就提及极限定理，而是会面对一个实际问题：我们应该如何理解正弦函数？从这里开始，你将逐渐意识到微分和积分的必要性，并理解极限工具为何会出现。此外，你将全面了解微积分最伟大的工具之一：泰勒级数展开，并进行傅里叶分析的实践。 我们认为，学习数学的最糟糕方式是遵循流水线模式，把知识块直接扔给学生，让他们无法看到实际需求。这种方式使得学生无法参与到学习的机制中，学习变成了单调的记忆和盲目练习。相反，学习数学的最佳方式是从最终的用途和真实问题出发，逆向思考，这样你将能够轻松理解每个数学元素是如何契合在一起的。这将使你的数学学习经历变得顺畅而丰富。如果你想对微积分有系统的理解，请加入我们的课程！
This course will teach you Calculus in a brand new way! Traditional way to learn Calculus follows a sequential model: algebra-geometry-limit-differentiation-integration. Each piece was taught on an isolated basis. Hence it's very difficult for students to make connections. Without being able to connecting the dots, it's impossible to obtain a deep understanding about Calculus. Therefore most students walk away with random bits of memory about Calculus, they don't really have a coherent and systematic understanding of Calculus.This course will do something totally different. It starts with the ultimate use of Calculus, and approach the core of Calculus step by step in a logical sequence. We wouldn't throw you a concept out of blue, instead you will be prompted with a real problem, a problem that would encourage you to think proactively what to do next. You won't be prompted with limit tool day 1, because there was no need at that time. Instead you will face a real problem: what should we do in order to understand sine? From there, you will see gradually the need to differentiate, then integrate. You will see why the limit tool would pop up. You would gain a thorough understanding of one of Calculus' greatest tool: Taylor series expansion. You would also have hands-on experience with Fourier analysis.We believe the worst way to learn math is to follow the assembly line model where things are thrown at you without you seeing the actual need. This will prevent you from engaging with the mechanics, and learning becomes a boring course of memorizing and blind practicing. We believe the best way to learn math is to think from the end use, from the real problems, then think backwards you will understand how each piece of math snap into the right place effortlessly. And this will make your math learning experience smooth and enriched.Please join in this course if you want to have a systematic understanding of Calculus!
