|
所在平台: Udemy |
课程主页: https://www.udemy.com/course/integral-calculus-for-physicists/
课程评论：没有评论
**课程名称：** 物理学积分入门 **课程概览：** 本课程旨在帮助学习者轻松理解积分概念并掌握解题技巧。课程从将积分视为微分的逆运算开始，介绍积分符号及其在表示微分积分公式中的应用，并以最简洁的方式解释积分常数的作用。随后，课程将探讨积分的基本性质，并重点介绍两种核心的积分技巧：换元法和分部积分法。课程中包含了大量例题，以增强学习者的信心。 最后，课程还将介绍定积分，包括积分上下限的作用、利用积分求解面积、积分在黎曼和中的应用，以及微积分基本定理。所有讲解都配有相关的插图说明。课程还讨论了定积分的性质，这些性质能使部分问题的求解更加简便，并提供了充足的例题进行练习。课程的微积分基本定理证明部分，力求通俗易懂，省略了繁复的数学推导。
I have made this course in such a way that you can easily understand integration and how to solve integrals., We begin by looking at integration as reverse operation of differentiation. You will be introduced the symbol of integration and how can you write using this symbol all formulae of integration from differentiation. The role of integration constant is told in the simplest possible way. This is followed by some basic properties of integrals and then you are introduced to techniques of integration. I have focused on two main techniques mainly integration by substitution and integration by parts. I have done lots of problems to instill confidence in you. Finally I have introduced Definite Integrals, the role of limits (upper and lower), finding area using integration, integration as Riemman sum and at last the fundamental theorem of calculus. Every discussion is followed by relevant illustrations. I have also dealt in these lectures , properties of definite integrals with the help of which some problems can be solved in much easier ways, Sufficient number of such questions are discussed in the lectures. Finally the proof that i gave as fundamental theorem is a very simple one stripped of all complicated mathematical rigors.
