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所在平台: Udemy |
课程主页: https://www.udemy.com/course/derivatives-in-mathematics/
课程评论：没有评论
课程名称：数学中的导数 概述：大家好！我的名字是艾莉森（Alison），我拥有科学背景，是一个具备分析能力的人，热衷于解决复杂问题。我拥有科学博士学位，目前是一名软件开发人员。我将在此课程中教授数学、化学、物理和编程。我的课程呈现方式清晰、逻辑性强且结构严谨。对于每个主题，我都会包含示例或练习，以确保内容易于理解。欢迎随时给我反馈，分享您的意见、问题或建议，我也许可以准备其他您感兴趣的课程。 在本课程中，我们将学习数学中导数的各种概念： 1) 首先，我们将介绍导数的定义、全导数及其几何意义。 2) 然后，我们将解释偏导数的概念，并将其与全导数进行比较。 3) 随后，我们将介绍一些基本函数及其导数的示例。 4) 我们将学习主要的求导规则，并通过实例进行说明：常数规则、和的规则、差的规则、乘法规则和除法规则。 5) 接下来，我们将解析高阶导数和高阶偏导数，并通过示例进行说明。 6) 我们将学习如何计算更复杂的复合函数的导数，同时给出示例。 7) 最后，我将展示导数与积分之间的关系。 希望你们喜欢这门课程，并能轻松学习到有价值的知识。祝好运，我们很快再见！艾莉森。
Hi!My name is AlisonI'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 derivatives in mathematics 1) First, we will introduce what is a derivative, what is a total derivative and what is the geometrical interpretation of a derivative. 2) Afterwards, we will explain what is a partial derivative and we will compare it to a total derivative. 3) Then we will introduce a few examples of basic functions and their derivatives. 4) We will learn the main differentiation rules with examples: the constant rule, sum rule, difference rule, multiply rule, divide rule.5) Then, we will explain what are higher order derivatives and higher order partial derivatives with examples. 6) Next, we will see how to calculate the derivative for more complex composite functions with an example.7) 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
