Calculus: Single Variable Part 4 - Applications

开始时间: 08/01/2020 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/applications-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 fourth part--part four of five--we cover computing areas and volumes, other geometric applications, physical applications, and averages and mass. We also introduce probability.

微积分:单变量第4部分-应用:微积分是人类思想中最伟大的成就之一,它解释了从行星轨道到城市的最佳规模再到心跳周期的所有内容。这门轻快的课程涵盖了单变量微积分的核心思想,并着重于概念理解和应用。该课程是工程,物理和社会科学领域的学生的理想选择。该课程的特色包括:1)从一开始就介绍和使用泰勒级数及其近似值; 2)微积分的离散和连续形式的新颖合成; 3)强调概念性而非计算性;和4)清晰,动态,统一的方法。 在第四部分(五分之四)中,我们涵盖了计算区域和体积,其他几何应用程序,物理应用程序以及平均值和质量。我们还介绍了概率。

课程大纲

Having seen some calculus before, you may recall some of the motivations for integrals arising from area computations. We will review those classical applications, while introducing the core idea of this module -- a differential element. By computing area and volume elements, we will see how to tackle tough geometry problems in a principled manner.

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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 单变量 数学 微积分 应用 微积分应用 宾夕法尼亚大学

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