周次: 5 日期: March 25, 2022 节次: 2 In this course, we will discuss the definition of hyperbolic functions. And we shift our attention to several integration techniques. These techniques can help us integrate more functions. A typical technique called “Integration by Parts” will be discussed as well....
周次: 5 日期: March 23, 2022 节次: 1 In this lecture, we define the inverse trigonometric functions, and develop some basic properties. The properties we are focusing on are the differentiation and integration properties. A brief introduction on hyperbolic functions, in particular the hyperbolic cosine and hyperbolic sine functions are given. As the second half, we discuss some integration techniques. Those techniques could help...
周次: 4 备注: Attendance check 日期: March 18, 2022 节次: 2 In this lecture, we continue on the discussion of logarithmic and exponential functions. The simplest differential equation is discussed, there are a lot of real applications even for such simple equations. And the definitions of growth rates are given in terms of the notation “big-oh...
周次: 4 日期: March 16, 2022 节次: 1 In this and next lectures, we will quickly go through the contents in chapter 7. Since a lot of the contents have been taught last semester or have known in high school age. § 7.1 Inverse Functions and Their Derivatives We have learned inverse functions, their domain and range, their graph, etc. In particular, we have...
周次: 3 日期: March 11, 2022 节次: 2 In this lecture, we’ll give a brief introduction to the concepts of works and fluid pressures. Many examples will be presented. This lecture covers §6.6 and §6.7. Outline Work Work refers specifically to a force acting on a body and the body...
周次: 2 日期: March 4, 2022 节次: 2 Outline In this lecture, we discuss moments ( 质量矩）and centers of mass. Two concepts are related. In this lecture, we only deal with one- and two-dimensional problems (Essentially all the problems been dealt with are in one-dimension). Basic Principle for Center of Mass and Moment Definition. (Center of Mass) For...