周次: 12 日期: May 13, 2022 节次: 2 In this lecture, we will talk about series, we introduce the sigma notation, and utilize limit to define the sum of a series. Primarily, there are two types of series whose sums can be found directly, by definition. Those are called Geometric Series and Telescoping Series. To study a divergent series, we introduce the $n$th term...
周次: 1 日期: February 25, 2022 节次: 2 Outline For solids of revolution, the volume is relatively easy to find out. In section 6.1 and 6.2, we developed three method for finding volumes. The first two are based on the area of cross-sections, therefore these cases are direct applications of the formula $V = \int_a^b A(x) dx.$ The third case uses cylindrical shells for...
W1-S1 Volumes by Slicing and Rotation About an Axis 周次: 1 日期: February 23, 2022 节次: 1 In this semester, we will be beginning with the applications of definite integrals. Today’s course is the contents in section 6.1 (Volumes by Slicing and Rotation About an Axis). Outline Review: Riemann sums & Definite Integral Definite integral is dealing with...