Introduction to Differential Equations

开始时间: 待定 持续时间: 7 weeks

所在平台: edX

课程类别: 数学

大学或机构: BUx

授课老师: Paul Blanchard Patrick Cummings

   

课程主页: https://www.edx.org/course/introduction-differential-equations-bux-math226-1x

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课程详情

*Note - This is an Archived course*

Phenomena as diverse as the motion of the planets, the spread of a disease, and the oscillations of a suspension bridge are governed by differential equations. MATH226x is an introduction to the mathematical theory of ordinary differential equations. This course follows a modern dynamical systems approach to the subject.  In particular, equations are analyzed using qualitative, numerical, and if possible, symbolic techniques.

MATH226x is essentially the edX equivalent of MA226, a one-semester course in ordinary differential equations taken by more than 500 students per year at Boston University. It is divided into three parts. MATH226.1x is the first of these three parts.

In MATH226.1x, we will discuss biological and physical models that can be expressed as differential equations with one or two dependent variables.  We will discuss geometric/qualitative and numerical techniques that apply to all differential equations. When possible, we will study some of the standard symbolic solution techniques such as separation of variables and the use of integrating factors.  We will also study the theory of existence and uniqueness of solutions, the phase line and bifurcations for first-order autonomous systems, and the phase plane for two-dimensional autonomous systems. The techniques that we develop will be used to analyze models throughout the course.


This is a past/archived course. At this time, you can only explore this course in a self-paced fashion. Certain features of this course may not be active, but many people enjoy watching the videos and working with the materials. Make sure to check for reruns of this course.

课程大纲

  • The mathematical theory of ordinary differential equations and its application to biological and physical systems
  • How to analyze equations using qualitative, numerical, and symbolic techniques
  • Modeling via differential equations

 

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课程简介

Learn the mathematical theory of ordinary differential equations and its application to biological and physical systems.

课程标签

数学 微分方程

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