Calculus: Single Variable Part 3 - Integration

开始时间: 05/23/2020 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/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.

微积分:单变量的第3部分-积分: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到心跳周期的一切。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。 在第三部分(五分之三)中,我们讨论了积分微分方程,积分技术,积分微积分的基本定理和难积分。

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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