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所在平台: Coursera |
课程主页: https://www.coursera.org/learn/introduction-to-ordinary-differential-equations-part-2
课程评论：没有评论
课程名称：微分方程第二部分：系列解 课程概述：本课程是关于（常微分）方程的入门课程，主要面向需要在自己领域中实际应用微分方程的人群。课程旨在提供基本术语、概念和多种微分方程求解方法，同时介绍微分方程的基本理论及一些相关应用。 课程 prerequisites：学员需具备一至两学期的微积分基础，以及对初等矩阵理论（如行列式、克拉默法则、特征值和特征向量）有一定了解。 课程大纲： 1. 第一部分：欧拉方程 2. 第二部分：幂级数 3. 第三部分：关于普通点的解 4. 第四部分：弗罗贝纽斯定理 5. 第五部分：寻找第二个解 6. 第六部分：贝塞尔函数 7. 第七部分：勒让德多项式 本课程适合希望在实际应用中充分理解和运用微分方程的学员。
Part: 1
Title:Euler Equations
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Part: 2
Title:Power Series
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Part: 3
Title:Solutions about ordinary points
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Part: 4
Title:Frobenius Theorem
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Part: 5
Title:Finding a Second Solution
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Part: 6
Title:Bessel Functions
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Part: 7
Title:Legendre Polynomials
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This introductory courses on (Ordinary) Differential Equations are mainly for the people, who need differential equations mostly for the practical use in their own fields. So we try to provide basic terminologies, concepts, and methods of solving various types of differential equations as well as a rudimentary but indispensable knowledge of the underlying theory and some related applications. The prerequisites of the courses is one- or two- semester calculus course and some exposure to the elementary theory of matrices like determinants, Cramer’s Rule for solving linear systems of equations, eigenvalues and eigenvectors.
