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所在平台: Udemy |
课程主页: https://www.udemy.com/course/continuity-and-differentiability-1-class-12-maths-cbse-isc/
课程评论：没有评论
Coursera 课程“连续性和微分方程的构建模块”内容总结： 本课程由拥有三十多年教龄的数学老师 Suman Mathews 讲授，旨在帮助学习者掌握微积分的基础知识，特别是微分学。 **课程内容涵盖：** * **微积分入门：** 课程以介绍性视频开始，其中包含本课程所需的所有公式。 * **连续性概念：** 深入讲解点连续和区间连续的定义，并演示如何计算左极限和右极限以判断连续性。 * **导数概念：** 通过极限解释点导数的概念，并教授如何使用定义计算导数。 * **导数公式：** 学习使用各种导数公式进行计算。 * **复合函数求导（链式法则）：** 掌握如何计算复合函数的导数，重点讲解链式法则的应用。 * **微分方程基础：** 学习如何计算微分方程的阶数和次数。 **学习特色：** * 提供练习测试，帮助学习者检验理解程度。 * 鼓励学习者跟随讲师一起练习*. * 课程结束后将有一次作业。 * 本课程是微分学学习的第一步，为后续进阶课程（如“课程二”）打下基础。 **讲师寄语：** 祝愿学习者在微积分的学习旅程中收获满满！
I am Suman Mathews, Mathematics teacher and content developer. Having taught Math for over three decades at the college and high school level, I have tried to make the concepts explained in these lessons interesting and useful.So let's get started with the basics of Calculus. This course is a your first step to understanding Differential Calculus. The course starts withAn introductory video which also includes all the formulas learnt in this session.The concept of Continuity at a point and continuity in an interval.You will learn how to calculate the left hand and right hand limits for continuity.The concept of derivative at point using limits is illustrated. You will learn how to calculate the derivative using definition.You will then learn how to differentiate using the formula.The course concludes with how to calculate the derivative of composite functions and using the Chain Rule.Access practice tests and check your understanding.You'll also learn how to calculate the order and degree of a differential equation.There is also an assignment at the end. To maximise your learning, practice each problem along with me. Wishing you a fruitful journey in Calculus.Stay tuned in for part 2 of this course
