MIT OCW 18.03 - Mathematics - Differential Equations

##Course Description 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. ##Prerequisites/Corequisites 18.03 Differential Equations has 18.01 Single Variable Calculus as a prerequisite. 18.02 Multivariable Calculus is a corequisite, meaning students can take 18.02 and 18.03 simultaneously. ##Texts Buy at Amazon Edwards, C., and D. Penney. Elementary Differential Equations with Boundary Value Problems. 6th ed. Upper Saddle River, NJ: Prentice Hall, 2003. ISBN: 9780136006138. Note: The 5th Edition (Buy at Amazon ISBN: 9780131457744) will serve as well. Students also need two sets of notes "18.03: Notes and Exercises" by Arthur Mattuck, and "18.03 Supplementary Notes" by Haynes Miller. ##Description

微分方程是自然界规律表达的通用语言。对微分方程解的性质的理解，对当代科学和工程学的许多领域而言，是至关重要的基础。常微分方程（ODE）处理单变量函数，这些函数通常可以被视为时间的函数。##先修/核心课程要求 18.03 微分方程课程以18.01 单变量微积分为先修课程，18.02 多变量微积分为核心课程，意味着学生可以同时修读18.02和18.03。##教材购买链接 请在亚马逊购买 Edwards, C. 和 D. Penney 著的《带有边值问题的初等微分方程》第6版，Upper Saddle River, NJ: Prentice Hall, 2003，ISBN: 9780136006138。注意：第5版（请于亚马逊购买，ISBN: 9780131457744）同样适用。学生还需要两套笔记，即 Arthur Mattuck 编写的“18.03: Notes and Exercises”和 Haynes Miller 编写的“18.03 补充笔记”。##课程描述 微分方程是自然法则的表述之语言。对微分方程解的性质的掌握，构成了当代科学及工程技术领域众多学科的基本要求。常微分方程（ODE）涉及单变量函数，此类函数常可视为时间的函数。