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所在平台: Udemy |
课程主页: https://www.udemy.com/course/master-the-fundamentals-of-sequences-and-series/
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**课程名称：** 精通序列与级数基础 (Master the Fundamentals of Sequences and Series) **课程概览：** 本课程专为大学数学、IGCSE/GCE A Level 或 IB SL/HL 数学考试的学生设计。完成课程后，您将掌握以下核心概念： * **序列与级数基本概念** * **等差数列与等差级数：** 学习通项公式及求和公式。 * **等比数列与等比级数：** 学习通项公式及求和公式。 * **无穷级数求和 (Sum to Infinity)** * **求和符号（Sigma 符号）** * **差分法 (Method of Difference)** * **二项式级数 (Binomial Series)：** 概念与应用，包括整数幂和分数幂的展开。 * **泰勒级数 (Taylor's Series)：** 概念与应用。 * **麦克劳林级数 (Maclaurin's Series)：** 概念与应用，包括利用麦克劳林级数进行小角度近似。 * **傅里叶级数简介 (Fourier Series introduction)** 课程将提供大量练习题，帮助学生熟悉和巩固各项概念，并学习如何将知识应用于实际问题解决。 **讲师：** Dr Ling M K Daniel, PhD
Dear students,Welcome to this course on "Master the Fundamentals of Sequences and Series"!This course is designed specially for students who are: doing college-level mathematics, taking their IGCSE/GCE A level or the IB SL/HL Math examinations.At the end of the course, and depending on which exams you are taking, you will learn most/all of the following:concepts of sequences and seriesarithmetic sequences and series (the arithmetic term and the sum)geometric sequences and series (the geometric term and the sum)Sum to InfinityThe summation sign (sigma notation)Method of DifferenceBinomial Series - concepts and applicationsexpansion for integer powers and fractional powersTaylor's Series - concepts and applicationsMaclaurin's Series - concepts and applicationsSmall angle approximations using Maclaurin's SeriesFourier Series introductionAlong the way, there will be ample practice questions for you to get familiarized with the various concepts of sequences and series. You will also learn how to apply the concepts to solve problems.If you encounter any issues with the course, please do not hesitate to contact me for more clarifications. I hope that you will find this course useful in your academic pursuit. Enjoy the course! Cheers!Dr Ling M K Daniel, PhDoo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo oo
