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18.03 微分方程18.03 Differential Equations |
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| 课程网址: | http://ocw.mit.edu/courses/mathematics/18-03-differential-equatio... |
| 主讲教师: | Haynes Miller; Arthur Mattuck |
| 开课单位: | 麻省理工学院 |
| 开课时间: | 信息不详。欢迎您在右侧留言补充。 |
| 课程语种: | 英语 |
| 中文简介: |  |
| 课程简介: | Differential Equations are the language in which the laws of nature are expressed. Understanding properties of solutions of differential equations is fundamental to much of contemporary science and engineering. Ordinary differential equations (ODE's) deal with functions of one variable, which can often be thought of as time. Topics include: Solution of first-order ODE's by analytical, graphical and numerical methods; Linear ODE's, especially second order with constant coefficients; Undetermined coefficients and variation of parameters; Sinusoidal and exponential signals: oscillations, damping, resonance; Complex numbers and exponentials; Fourier series, periodic solutions; Delta functions, convolution, and Laplace transform methods; Matrix and first order linear systems: eigenvalues and eigenvectors; and Non-linear autonomous systems: critical point analysis and phase plane diagrams. |
| 关 键 词: | 图解; 数值方法; 一阶常微分方程; 线性常微分方程; 傅立叶级数 |
| 课程来源: | 麻省理工学院公开课 |
| 最后编审: | 2018-06-22：cmh |
| 阅读次数: | 25 |