本课程为微积分基础课程,内容涵盖单变量函数的微分、积分及应用
This introductory calculus course covers differentiation and integration of functions of one variable, with applications.
修这门课不需要任何的大学基础,只需要高中知识即可。
There is no course at MIT which is a prerequisite for this course. The prerequisites are high school algebra and trigonometry.
微积分的目的无非是求小尺度的微分和大尺度的积分,它们之间通过微积分基本定理联系起来。学生需要通过该课程了解积分其实就是一种求和,而求导不过是一种变化率;还需要了解两者之间的相互关系。
The basic objective of Calculus is to relate small-scale (differential) quantities to large-scale (integrated) quantities. This is accomplished by means of the Fundamental Theorem of Calculus. Students should demonstrate an understanding of the integral as a cumulative sum, of the derivative as a rate of change, and of the inverse relationship between integration and differentiation.