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所在平台: Udemy |
课程主页: https://www.udemy.com/course/vector-calculus-div-grad-curl/
课程评论：没有评论
**课程标题：** 向量微积分（散度、梯度、旋度） **课程概述：** 本课程深入探讨向量微积分中的散度、梯度和旋度算子，解释它们的含义和来源。通过 MATLAB 仿真，课程提供直观的图形化理解。本课程将从基础原理出发，在笛卡尔、圆柱和球坐标系下推导散度、梯度、旋度和拉普拉斯算子。此外，还将介绍斯托克斯定理，并探讨这些概念在电磁学中的应用。 **课程亮点：** * **直观的图形化解释：** 利用 MATLAB 仿真，帮助学习者建立对向量微积分算子的深刻几何理解。 * **从零开始的推导：** 详细讲解了散度、梯度、旋度和拉普拉斯算子在不同坐标系下的推导过程，适合希望深入理解数学原理的学习者。 * **聚焦实际应用：** 重点关注这些概念在电磁学中的应用，为学习电磁学（如麦克斯韦方程组）和流体动力学打下坚实的数学基础。 * **独特的教学方法：** 课程采用不同于以往的教学方式，强调从基础原理出发，逐步建立数学理解和图形直觉。 **目标受众：** * 对向量微积分的散度、梯度、旋度算子的含义和来源感到好奇的学习者。 * 希望获得良好图形化直觉，并深入理解向量微积分数学原理的学习者。 * 希望为学习电磁学或流体动力学打下坚实数学基础的学习者。 * 寻求不同于传统、基础推导的向量微积分学习方法的学习者。
If you have ever wondered what the vector calculus operators divergence , gradient and curl mean and where they come from then this course is for you. With Matlab simulations of the vector calculus operators to give you a good graphical intuition. In this course we derive the vector operators DIV GRAD CURL and LAPLACIAN in cartesian, cylindrical and spherical coordinates. We also take a look at Stoke's theorem and look at their use in Electromagnetics. The course covers all the mathematics you need to know in order to understand Maxwell's field equations for Electromagnetics and is an ideal mathematical primer for anyone who wants to study Electromagnetics or fluid dynamics.The mathematics of Divergence , Gradient , Curl and Laplacian derived from first principles with a graphical intuition in a manner which you will not have seen before. If you really want to understand the core mathematics of Vector Calculus then this course will provide you with a step by step derivation of the mathematics and also a graphical intuition.This is a subject that always interested me and I could not find any explanations other than very basic derivations. This is why I generated my own course so that I could teach it the way I thought it should be taught.
