A Complete First Course in Differential Equations

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

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课程简介

课程名称:完整的微分方程入门课程 课程概述:本课程将教授大学/学院微分方程课程前两学期通常涵盖的全部内容。课程的主要内容包括以下几个方面:一阶微分方程、高阶线性微分方程、拉普拉斯变换方法、线性微分方程系统、幂级数法、偏微分方程、傅里叶级数、Sturm-Liouville本征值问题、非线性微分方程系统以及数值方法。通过本课程,学员将系统深入地掌握微分方程的基础知识和应用技巧,适合希望加强数学基础的学生。

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This course will teach everything that is usually taught in the first two semesters of a university/college course in differential equations. The topics we will consider in this course are First Order Differential EquationsLinear Equations of Higher OrderLaplace Transform MethodsLinear Systems of Differential Equations Power Series MethodsPartial Differential EquationsFourier SeriesSturm Liouville Eigenvalue ProblemsNonlinear Systems of Differential EquationsNumerical Methods

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