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所在平台: Udemy |
课程主页: https://www.udemy.com/course/calculus-i-differential-calculus/
课程评论：没有评论
Coursera 上的《微积分 I（微分学）》课程主要面向计划攻读工程、数学、计算机科学和物理科学专业的学生。本课程涵盖单变量微分学和积分学。 课程通过一系列循序渐进的视频教程，重点讲解各种微分法则，使学习者能够在不直接使用极限定义的情况下求解导数。具体内容包括： * 多项式和自然指数函数的导数。 * 乘积法则和商法则的应用。 * 三角函数的导数。 * 链式法则在求解复杂函数导数中的应用。 * 隐函数微分法。 * 反三角函数和对数函数的微分。 * 对数微分法的应用。 完成本课程后，学习者应掌握求解各种函数导数所需的基本技能。
Calculus I is designed primarily for those students planning to pursue programs in engineering, mathematics, computer science, and physical sciences. This course includes topics of differential and integral calculus of a single variable. This course contains a series of video tutorials that are broken up in various levels. Each video builds upon the previous one. In this first course in Calculus (Differential Calculus) you will learn various differentiation rules that will allow you to find derivatives without the direct use of the limit definition. We will first learn how to find the derivative of polynomials and natural exponential functions. Then we will shift gears and learn how to apply the product and quotient rule. We will then learn how to find the derivative of trigonometric functions. After that, we will learn how to use the chain rule to find the derivative of more complicated functions. We will then learn how to differentiate via implicit differentiation. We will follow up with derivatives of inverse Trigonometric Functions and logarithmic functions. We will end the video series by learning how to differentiate via logarithmic differentiation. After going over these videos you should be armed with the basic skills necessary to find the derivative of various functions.
