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所在平台: Udemy |
课程主页: https://www.udemy.com/course/become-a-master-of-calculus-1/
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课程名称：成为微积分1大师：解决复杂问题 课程概述：本课程涵盖了学习“成为微积分1大师”所需的所有讲座。课程分为不同的章节，并且您将观看我逐个章节的讲解。每个章节结束时都有一个小测验。课程内容包括以下章节： 第一部分：预备微积分（函数） 第二部分：极限 第三部分：导数 第四部分：导数的应用 第五部分：积分 第六部分：积分的应用 该课程将教会您从头到尾全面理解微积分1所需的所有知识。每个部分将涵盖一系列讲座，帮助您对每个主题有深入的理解。在第一部分，我们将讨论预备微积分，主要介绍函数及其类型，为理解微积分1奠定基础。第二部分将讨论极限，解析不同类型的极限，确保您能正确理解这一概念。第三部分将深入导数，您将学习幂法则、链式法则、三角函数导数、常数的导数、以及有理函数的导数等。第四部分将探讨导数的应用，了解如何用其计算一个量相对于另一个量的变化率。第五部分将介绍积分，您将学习定积分和不定积分的概念。第六部分将重点讲解积分的应用，包括表面积、弧长、工作量、函数的平均值和体积等内容。 通过本课程的学习，您将能够掌握微积分1的核心内容，提升解决复杂问题的能力。
This course contain all the lectures you need to "become a master of Calculus 1".The course contain different sections and you are going to watch the video of me explaining it section by section. There will be a quiz at the end of every sectionHere is the list of chapters that we will study in this course "Become a master of Calculus 1":SECTION 1-PRE CALULUS(FUNCTIONS)SECTION 2-LIMITSECTION 3-DERIVATIVESSECTION 4- APPLICATION OF DERIVATIVESSECTION 5- INTEGRAL SECTION 6- APPLICATION OF INTEGRALSo this course will teach you everything you should know to fully understand Calculus 1 from beginning to end. Each sections in this course will cover series of lectures which give you a properly understanding for each topics. In Section 1 we will discuss Pre-Calculus which is going to start with a brief introduction for understanding calculus 1. These are mainly going to cover functions and the type of functions.In Section 2 we will discuss Limit. The different type of limit will be discussed and after this section you will be able to properly understand Limit.In Section 3 we will discuss Derivatives. You will understand power rule, Chain rule, derivatives of trigonometry functions, derivatives of a constant, derivatives of a rational function etc.In Section 4 we will discuss the application of derivatives which can be used to find the rate of changes of a quantity with respect to the other quantity.In section 5 we will discuss Integral. You will learn about definite and indefinite integral.In section 6 we will discuss the application of integral. We will cover surface area, arc length, work, average value of a function and volume.
