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微分方程
Differential Equations |
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| 课程网址: |
http://oer.avu.org/handle/123456789/15
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| 主讲教师: |
George L. Ekol
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| 开课单位: |
非洲虚拟大学
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| 开课时间: |
信息不详。欢迎您在右侧留言补充。
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| 课程语种: |
英语
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| 中文简介: |
该模块由两个单元组成，分别是常微分方程导论和高阶微分方程导论。在单元一中讨论了齐次和非齐次常微分方程，并用各种方法得到了它们的解。这些技术包括参数变化、待定系数法和逆算子。在单元中讨论了微分方程的两个级数解，也讨论了偏微分方程及其分离变量的解。其他讨论的主题包括拉普拉斯变换、傅立叶级数、傅立叶变换及其应用。大纲:音节单元一:常微分方程导论第二级。微积分3是先决条件。一阶微分方程及其应用。二阶微分方程。常系数齐次方程。变系数方程。非齐次方程。待定系数。变化的参数。逆微分算子。单元二:高阶微分方程及其应用。优先级b，微分方程1是先决条件。二阶线性常微分方程的级数解。特殊的功能。应用于二阶偏微分方程的变量分离方法。球面谐波。拉普拉斯变换及其应用。傅立叶级数，傅立叶变换及其应用'
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| 课程简介: |
'This module consisst of two units, namely Introduction to Ordinary differential equations and higher order differential equations respectively. In unit one both homogeneous and non-homogeneous ordinary differential equations are discussed and their solutions obtained with a variety of techniques.Some of these techniques include the variation of parameters, the method of undetermined coefficients and the inverse operators. In unit two series solutions of differential equations are discussed .Also discussed are partial differential equations and their solution by separation of variables. Other topics discussed are Laplace transforms, Fourier series, Fourier transforms and their applications.Outline: SyllabusUnit 1: Introduction to Ordinary Differential EquationsLevel 2. Priority A. Calculus 3 is prerequisite.First order differential equations and applications. Second order differential equations. Homogeneous equations with constant coefficients. Equations with variable coefficients. Non-homogeneous equations. Undetermined coefficients. Variations of parameters. Inverse differential operators.Unit 2: Higher Order Differential Equations and ApplicationsLevel 2. Priority B. Differential Equations 1 is prerequisite.Series solution of second order linear ordinary differential equations. Special functions. Methods of separation of variables applied to second order partial differential equations. Spherical harmonics. Laplace transform and applications. Fourier series, Fourier transform and applications'
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| 关 键 词: |
Mathematics ; Technology ; Differential Equations
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| 课程来源: |
非洲虚拟大学公开课
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| 最后编审: |
2020-10-01：yumf
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| 阅读次数: |
72
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