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所在平台: Udemy |
课程主页: https://www.udemy.com/course/multivariable-calculus-sgt/
课程评论：没有评论
课程名称：本科生多变量微积分入门 课程概述：多变量微积分常被视为一种全新的微积分，但实际上，它是单变量微积分在三维空间中的应用。课程涵盖的主题包括向量与曲面、偏导数、双重积分和三重积分在各种坐标系中的应用，以及导数和积分在三维中的应用。本课程将涉及多变量微积分的所有基本主题，但不包括一些本科课程中较高级的内容，例如格林定理、斯托克斯定理、散度定理、曲面积分或向量积分。本课程将提供你所需的知识来应对大一或大二的多变量课程，同时也为更高级的向量微积分课程提供良好的复习。 很多时候，学生对所学内容的意义和与未来课程或职业的关系并不清楚。一些教授过于关注将材料传授给学生和进行测试，您是否有同感？我将教你如何像工程师一样思考，意味着能够将复杂的问题分解为你已经掌握的简单部分。我认识到，学生更重视简洁和逻辑，而不是复杂的推导和记忆的过程。我将教你最简单的方法，这种方法在过去五年里帮助了我的学生取得成功。 到课程结束时，您将能够处理每个主要主题中的基本问题，并解释它们在工程中的相关性。课程也旨在作为您学习完整课程时的参考，因此如果您第一次看到所有内容时没有掌握，也不要担心！我希望当您参加正式课程时，能够体会到“噢，这就是 Scott 是这样处理的”的瞬间。
Multivariable calculus is often seen is an entirely new kind of calculus, but in reality, it's an application of single variable calculus to 3-dimensional space. Topics covered include vectors and surfaces, partial derivatives, double and triple integrals in various coordinate systems, and applications of both derivatives and integrals in 3D. This course covers all of the essential topics to multivariable calculus, but not advanced topics that some undergraduate courses don't cover such as Green's Theorem, Stoke's Theorem, Divergence Theorem, surface integrals, or vector integrals. This course will get you exactly what you need for your freshman or sophomore level multivariable course, and will be a great review for an upper level vector calculus course!I find too often that students don't know why they are learning something or how it relates to future classes or career. Some professors are too focused on getting the material over to you and giving you the test. Sound familiar? I will teach you how to think like an engineer, which means being able to break down complicated problems into simple pieces that you already know how to do! I recognize that students value simplicity and logic over complicated derivations and memorized processes. I will teach you the simplest way that has helped my students become successful for the past 5 years.By the end of the course, you will know how to approach fundamental problems in each of the major topics and explain why they are relevant in engineering. The course is designed to also be used as a reference when you are taking the full version of the course as well, so don't be afraid if you don't pick everything up the first time you see it! My hope is that you have the "ah-ha that's why Scott approached it that way" moment when you take the real course.
