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所在平台: Udemy |
课程主页: https://www.udemy.com/course/sequences-and-series-l/
课程评论：没有评论
**课程名称：** 数列与级数 (Sequences and Series) **课程概述：** 本课程是一门时长 7 小时 45 分钟的强化课程，深入探讨数列与级数的核心概念。学员将学习： * **数列基础：** 如何使用数列记法写出数列的项，以及如何写出数列的通项公式。 * **级数入门：** 如何将数列的项相加得到级数，并应用求和符号。 * **有限与无限数列/级数：** 了解有限和无限数列、级数的区别与联系。 * **可视化学习：** 利用表格和图表直观展示数列的模式和规律。 * **等差数列：** 识别等差数列，写出其通项公式，以及在给定两项时求解特定项。 * **等差级数：** 利用等差数列求和公式计算等差数列的部分和及有限项和；使用求和符号法求解等差数列与级数的和，并通过表格和图表说明有限等差数列的概念；以及将等差数列与级数应用于实际建模。 * **等比数列：** 识别等比数列，写出其通项公式。 * **等比级数：** 利用求和符号和等比数列求和公式计算等比数列的部分和及有限项和，并通过表格和图表展示等比数列项之间的关系。 * **无穷等比级数：** 运用无穷等比数列求和公式求解无穷等比级数的部分和与总和；使用求和符号法求解无穷等比数列与级数的和。 * **特殊无穷级数求和：** 学习如何将无穷等比级数拆分为两部分，分别求出各部分的无穷和，再将两者相加，得到特定类型无穷级数的总和。
This is 7 hours 45 minutes of intensive course on sequences and series. It comprises in-depth knowledge of the course: use sequence notation to write terms of a sequence, write a rule for the nth term of a sequence, sum the terms of a sequence to obtain a series and use summation notation, learn about finite and infinite sequences and series, respectively ; use table of values and graphs to illustrate pattern of sequence , identify arithmetic sequences, write a rules for the nth term of arithmetic sequences, solve for a required term when two other terms are given, find partial sum and sums of finite arithmetic sequences using arithmetic progression formula, use sigma notation method to find the sum of arithmetic sequences and series ,use table of values and graphs to illustrate the concept of finite arithmetic sequence, model with arithmetic sequences and series, identify geometric sequences, write rules for geometric sequences, find partial sum and sums of finite geometric sequences using summation notation and to find sums using geometric progression formula, use table of values and graphs to illustrate the relationship between the terms of a given geometric sequence , Solve for the partial sum of infinite geometric series and sum of infinite geometric series by using formula of sum to infinite of geometric progression and use sigma notation to find the infinite sum of geometric sequences and series. Finally, there is a lecture on how to split infinite geometric series into two portions and solve for the sum to infinite of individual portions after which the two sums obtained are added together to get the required sum to infinite of the given special type of geometric series.
