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所在平台: Udemy |
课程主页: https://www.udemy.com/course/a-level-further-maths-core-pure-1/
课程评论：没有评论
课程名称：A-Level进一步数学：核心纯1 课程概述：A-Level进一步数学：核心纯1是为学习A-Level进一步数学的学生设计的课程。该课程涵盖了第一份核心纯试卷的所有内容。虽然该课程以Edexcel考试局为基础，但同样适用于OCR的所有内容。它也是希望深入学习高级纯数学的理想选择。 课程重点包括： 1. **复数** - 探索复数的定义、运算及其图形表示。 2. **数列** - 学习自然数、平方数和立方数的和与部分和的计算。 3. **多项式的根** - 研究多项式与其根之间的关系。 4. **旋转体积** - 学习如何计算通过围绕x轴或y轴旋转函数而形成的固体的体积。 5. **归纳法证明** - 学习如何使用归纳法对数列、可整除性和矩阵的命题进行证明。 6. **矩阵** - 探索矩阵及矩阵代数的世界，学习如何寻找逆矩阵并探索二维和三维中的变换。 7. **向量** - 学习如何用向量表示三维中的直线和平面，并研究它们之间的相互作用。 课程提供内容： - **视频课程**：逐一讲解每个主题，介绍所有关键概念，并通过各种例题巩固知识，同时指出常见的误解和错误，帮助你避免它们。 - **测验**：每个小节后有简短的测验，以测试你对所学内容的理解。大部分测验题目来自真实的A-Level过去试题，遇到困难可以随时寻求帮助。 - **练习题**：每章结束时，我提供了一系列真实A-Level过去试题的练习，让你整合所学知识并独立尝试。每个练习题下方都附有满分评分标准，以便你评估自己的表现。 本课程还附带： - 30天退款保证。 - 可打印的Udemy结业证书。 - 在问答部分提供支持，遇到问题请随时提问！ 我希望你能享受这门课程！——Woody
A-Level Further Maths: Core Pure 1 is a course for anyone studying A-Level Further Maths.This course covers all the content in the first Core Pure paper. The course has been modelled around the Edexcel exam board, but it matches all the content in OCR as well. It's also a great option for anyone looking to learn more advanced pure mathematics.The main sections of the course are:- Complex Numbers - we will explore what a complex number is, how to work with them, and how to represent them graphically.- Series - we will learn how to find sums and partial sums of natural numbers, squares and cubes.- Roots of polynomials - we'll look at the relationship between a polynomial and its roots.- Volumes of revolution - we'll learn how to find the volume of a solid formed by rotating a function around the x or y axes.- Proof by induction - we'll learn how to prove statements about series, divisibility and matrices using induction.- Matrices - we'll explore the fascinating world of matrices and matrix algebra, and learn how to find inverses and explore transformations in 2 and 3 dimensions.- Vectors - we'll learn how to represent lines and planes in 3 dimensions using vectors, and explore how these interact.What you get in this course:Videos: Watch as I explain each topic, introducing all the key ideas, and then go through a range of different examples, covering all the important ideas in each. In these videos I also point out the most common misconceptions and errors so that you can avoid them.Quizzes: Each sub-section is followed by a short quiz for you to test your understanding of the content just covered. Most of the questions in the quizzes are taken from real A-Level past papers. Feel free to ask for help if you get stuck on these!Worksheets: At the end of each chapter I have made a collection of different questions taken from real A-Level past papers for you to put it all together and try for yourself. At the bottom of each worksheet is a full mark-scheme so you can see how you have done.This course comes with:· A 30 day money-back guarantee.· A printable Udemy certificate of completion.· Support in the Q & A section - ask me if you get stuck!I really hope you enjoy this course!Woody
