Differential Equations in a Day

所在平台: Udemy

课程主页: https://www.udemy.com/course/differential-equations-in-a-day/

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课程简介

**Coursera 课程:“一天搞定微分方程” 内容摘要** 本课程旨在帮助学习者快速提升微分方程的求解能力,无论您是错过了课程、未能理解课堂内容、觉得某个主题具有挑战性、需要复习备考,还是需要额外的练习题,本课程都能为您提供急需的帮助。 **课程亮点:** * **实用性强:** 微分方程是描述现实世界变化现象的工具,广泛应用于科学、工程、技术、金融等领域。本课程将帮助您掌握这些应用所需的数学技能。 * **侧重实践:** 课程以教授核心解题技巧为主,注重通过大量例题来巩固学习,理论讲解精炼。 * **配套练习:** 每节视频课后都有丰富的章节练习题,并提供详细的解题步骤,方便您自我检验和学习。 * **技能提升:** 学习完成后,您将成为一名优秀的微分方程解题者,并能将这些技能应用于未来的各种场景,同时也将进一步巩固您的微积分功底。 **课程内容涵盖:** * 可分离微分方程的求解 * 一阶线性微分方程的求解 * 二阶齐次微分方程的求解 * 二阶非齐次微分方程的求解 * 利用拉普拉斯变换求解微分方程 **目标:** 参加本课程,您将在一天之内掌握微分方程的求解技巧,为您的作业和考试做好充分准备! **先修要求:** 建议具备良好的微分和积分微积分基础。

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课程详情

This Course is For YouI created this course for you because I know it's difficult to be on top of your studies all of the time. There are so many reasons why you might need to catch up:· You missed an important class (or don't attend a class!)· You didn't understand something in class· You found a topic particularly challenging· You need to review for a test· You need to access relevant practice questionsWhatever your reason this course will quickly transform your differential equation solving skills and get you ready to ace your next assignment!What You'll Take Away From This CourseDifferential equations are the equations of change and are used to describe phenomenon in the real world such as modelling in science, engineering, technology, finance and many other areas. Differential equations use Calculus techniques so having a good grasp of differential and integral Calculus is important here. At the end of this course you'll not only be an excellent differential equation solver but will be able to use those skills in any situation that requires them in the future. You'll also sharpen your Calculus skills.Each instructional video teaches one core technique and focuses on example questions more than theory. You will then practice what you've learnt in the extensive end of section review exercise. We've also included step-by-step solutions so you can check your work as you go. Take this course and you will learn:· Solving separable differential equations· Solving first-order linear differential equations· Solving second-order homogeneous differential equations· Solving second-order non-homogeneous differential equations· Solving differential equations using Laplace transformsTake this course and you will be solving differential equations in a day!

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