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所在平台: Udemy |
课程主页: https://www.udemy.com/course/a-level-and-ib-integral-calculus-explained/
课程评论：没有评论
**课程名称：** A-Level and IB 积分微积分详解 **课程概览：** 本课程旨在帮助学生在A-Level或IB数学的积分部分取得优异成绩，同时也适合初次接触积分并感到困难的学生。课程将详细讲解A-Level和IB项目要求的积分内容，涵盖两年课程。 **课程内容：** * **第一部分：** 学习积分的定义、常数的意义及基本积分方法。 * **第二部分：** 学习定积分及其意义，以及积分的几何解释。 * **第三部分：** 深入学习二年级更高级的积分技巧，包括： * 分部积分法 * 部分分式法 * 换元积分法 * 循环积分 * 逆向链式法则 * **第四部分：** 学习使用分离变量法求解简单微分方程。 课程中还将讨论学生常犯的错误及规避方法。学完课程后，您将对积分有初步的理解，并能自信地应对测试和考试中的相关习题。 **目标学员：** 希望在A-Level或IB积分部分取得成功的学生，以及初次学习积分的学生。 **课程成果：** 掌握积分基本概念和高级技巧，能够自信解答A-Level和IB积分相关问题。
The course is intended for students who want to excel in their A-Level or IB Calculus section as well as to those encountering the topic for the first time and find it difficult to understand. In this course I am going to explain in detail integration calculus within the scope required by A-Level and IB programs. Both the first and second year of the programs will be covered. We will first (in section 1) learn definitions, purpose of constant as well as basic integration. Then, in section 2 we will move to definite integrals and their purpose, as well as geometrical meaning of integration. In the third section, we will progress into more advanced second year techniques like integration by parts, partial fractions, integration by substitution, cyclical integrals, as well as reversed chain rule. Finally (section 4), we are going to discuss how to solve simple differential equations using separation of variables method. During explanations, we will touch the most frequent mistakes made by students and discuss how to avoid them. By the end of the course, you should acquire a first understanding of integration and be able to confidently do the related exercises during your tests and exams. Good luck!
