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所在平台: Udemy |
课程主页: https://www.udemy.com/course/differential-equations-lectures-with-the-math-sorcerer/
课程评论：没有评论
Coursera 课程“微分方程讲座（The Math Sorcerer 主讲）”是一个全面的微分方程入门课程，其内容深度与大学一年级或二年级的微分方程课程相当。 **核心内容与特色：** * **内容全面：** 涵盖了绝大多数大学微分方程课程的标准主题，并可能包含一些额外的、在常规课程中不常见的知识点，也可能缺失个别常规课程中的冷门内容。 * **先修要求：** 建议有基本的微分和积分知识。虽然通常要求完成微积分II，但只要掌握了基础的微分和如u-代换等积分技巧，即可跟上。课程中会详细回顾使用到的积分技巧，如分部积分等。 * **学习体验：** 课程节奏合理，即使是只有基础微积分知识的学习者也能较好地理解。学习过程中，不仅能掌握微分方程，还能同时巩固和学习更多的微积分知识。 * **配套资源：** * 29个完整的讲座，部分主题有多个版本。 * 16份带有详细解答的作业，每个章节都有相应的作业。 * 针对期末考试进行全面复习。 * 提供期末考试及解答。 **适合人群：** * 希望自主学习微分方程的学习者。 * 准备进入大学微分方程课程的学习者。 * 当前正在学习大学微分方程课程，希望获得额外辅导的学生。 **课程目标：** 通过精心设计的讲座、作业和考试，使具备基础微积分知识的学习者能够掌握微分方程的核心概念和解题方法。
This is a complete course on differential equations. The material covered in this course is equivalent to what is taught at most colleges. There might be some topics that you will see here that you don't see in a college course, and there might be some that are missing from a regular college course. Overall though, this is a very complete course.You should have basic differentiation and integration skills in order to understand this course. Normally the requirement for Differential Equations is Calculus 2, but I would say as long as you can differentiate and you know some basic integration techniques such as u-substitution you should be able to follow along. Integration by Parts and other techniques are used but they are carefully reviewed when they are introduced. The pace is good and you should be ok as long as you know some basic calculus. You will probably learn a great deal of calculus and other things as you go through this course.Here are some of the highlights of this course.29 Full Lectures. In some cases there is more than one version of a particular lecture. 16 Assignments with Solutions. There is an assignment for every single section in this course.A Full Review for the Final Exam.A Final Exam with Solutions.This course is perfect for anyone who wants to learn differential equations on their own or wants to prepare for a course on differential equations at the college level. If you are currently taking differential equations, this course would of course be extremely helpful.I sincerely hope that you enjoy this course as much as I have enjoyed creating it. The lectures, the assignments, and the final exam were very carefully created so that anyone with some basic calculus knowledge can learn the material.Good luck and enjoy the course:)
