Differential Equations in Action

开始时间: 随时 持续时间: 自主

所在平台: Udacity

课程类别: 数学

大学或机构: Udacity Self


课程主页: https://www.udacity.com/course/cs222

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By the end of this course, you'll develop an intuition for the use of differential equations in the applied sciences. You'll also learn how to build mathematical models for systems of differential equations. Along the way, you'll learn how to translate mathematical expressions into Python code, and solve some really cool problems!

Lesson 1: Rescuing Apollo 13, Part 1
Introduction to the Forward Euler Method

Lesson 2: Rescuing Apollo 13, Part 2
Comparing solvers, Heun’s Method and Symplectic Euler Method

Lesson 3: Analyzing the Spread of Diseases
Implicit methods and stiffness

Lesson 4: There’s Plenty of Fish in the Sea?
Stability, sensitivity, and optimization

Lesson 5: Antilock Brake Systems
Friction, equilibria, and control theory

Lesson 6: The Path of a Forest Fire
Partial differential equations and heat conduction

Lesson 7: Advanced Applications of Numerical Methods
Chaos, software, and predictive capability



wzyer 2013-05-22 15:57 0 票支持; 0 票反对


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In this course you will examine real world problems -- rescue the Apollo 13 astronauts, stop the spread of epidemics, and fight forest fires -- involving differential equations and figure out how to solve them using numerical methods.


微分方程 微分 微分方程应用 数学 微分方程入门 应用数学



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