周次: 2 备注: Attendance check 日期: March 2, 2022 节次: 1 Outline We knew what is meant by the length of a straight line segment, but without calculus, we have no precise notion of the length of a general winding curve. The idea of approximating the length of a curve has no difference with the idea of approximating an area or approximating...
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...