周次: 13 日期: May 20, 2022 节次: 2 In this lecture, the Comparison Test is upgraded to the limit case. In addition, two new tests based on the comparison with respect to the geometric series is given. These are called the Ratio Test and the Root Test, respectively. Note that all the tests are designed for a series with non-negative terms. § 11.4 The...
周次: 12 备注: Attendance check 日期: May 11, 2022 节次: 1 In this lecture, we continue the discussion of infinite series. We introduce the L’Hôpital’s Rule to the limit finding problems, and conclude this section by an important type of convergent sequences, called bounded monotonic sequences. Then we will talk about series,...
周次: 8 日期: April 15, 2022 节次: 2 In this lecture, we discuss the improper integral of type II, as well as the convergence test for improper integral of type I with non-negative integrands. In the section part, we will talk about the simplest differential equations, the geometric visualization of a differential equation with slope fields, and separable equations. Type II Improper Integrals Definition....