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所在平台: Udemy |
课程主页: https://www.udemy.com/course/integrals-in-mathematics/
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课程名称：数学中的积分 概述：大家好！我是Alison，一名具有科学背景的分析型人士，热衷于复杂问题的解决。我拥有科学博士学位，目前是一名软件开发人员。我将在这门课程中教授数学、化学、物理和编程，确保以清晰、逻辑和结构化的方式呈现内容。每个主题都会包括示例或练习，以确保理解透彻。如果您有任何反馈、问题或建议，请与我联系，我可能会准备一门符合您兴趣的课程。 在这门课程中，我们将学习与积分相关的各种概念： 1) 首先介绍不定积分及其积分常数。 2) 然后解释定积分的概念。 3) 接下来，探讨积分的几何解释。 4) 介绍一些基本函数及其积分的示例。 5) 学习主要的积分规则及其示例：常数规则、求和规则、差规则、乘法规则和除法规则。 6) 之后，展示三种积分技术及示例（分部积分法、有理函数积分、变量替换积分）。 7) 再接下来，学习多重积分（双重积分和三重积分），并通过示例进行求解。 8) 最后，展示导数与积分之间的关系。 希望大家享受这门课程，觉得内容易于理解，并能与我一起学到很多知识。祝好运，期待很快见到你们！ Alison
Hi!My name is Alison.I'm an analytical person with a science background, that has a passion for complex problem solving. I have a PhD in Science and I currently work as a Software Developer.I'm here to teach you Maths, Chemistry, Physics and Programming.I present my courses in a clear, logical and structured way. For every topic, I also include an example or exercise to make sure that it is clear and easy to understand.Please send me your feedback and let me know if you have any comments, questions or suggestions. I may be able to prepare a course that interests you.In this specific course we will learn various concepts about integrals in mathematics 1) First, we will introduce what is an indefinite integral and what is the integration constant 2) Afterwards, we will explain what is a definite integral 3) Next, we will look at the geometrical interpretation of an integral 4) Then we will introduce a few examples of basic functions and their integrals. 5) We will learn the main integration rules with examples: the constant rule, sum rule, difference rule, multiply rule, divide rule.6) Then, we will see three integration techniques with examples (integration by parts, integration of rational functions, integration by change of variable) 7) Next, we will see what are multiple integrals (double and triple integrals) and we will solve them with an example8) Finally, I will show you the relationship between derivatives and integrals I hope you enjoy this course, find it easy and learn a lot with meGood luck and see you soonAlison
