Calculus: Single Variable Part 3 - Integration

开始时间: 09/02/2018 持续时间: Unknown

所在平台: Coursera

课程类别: 数学

大学或机构: CourseraNew

   

课程主页: https://www.coursera.org/learn/integration-calculus

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课程详情

Calculus is one of the grandest achievements of human thought, explaining everything from planetary orbits to the optimal size of a city to the periodicity of a heartbeat. This brisk course covers the core ideas of single-variable Calculus with emphases on conceptual understanding and applications. The course is ideal for students beginning in the engineering, physical, and social sciences. Distinguishing features of the course include: 1) the introduction and use of Taylor series and approximations from the beginning; 2) a novel synthesis of discrete and continuous forms of Calculus; 3) an emphasis on the conceptual over the computational; and 4) a clear, dynamic, unified approach. In this third part--part three of five--we cover integrating differential equations, techniques of integration, the fundamental theorem of integral calculus, and difficult integrals.

课程大纲

Our first look at integrals will be motivated by differential equations. Describing how things evolve over time leads naturally to anti-differentiation, and we'll see a new application for derivatives in the form of stability criteria for equilibrium solutions.

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课程简介

Calculus is one of the grandest achievements of human thought, explaining everything from planetary

课程标签

单变量微积分 微积分 单变量 数学 积分 宾夕法尼亚大学

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