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所在平台: Udemy |
课程主页: https://www.udemy.com/course/a-level-pure-2/
课程评论：没有评论
**课程概览：A-Level 数学：纯数（二年级）** 本课程是 Coursera 上为学习 A-Level 数学（纯数部分）的学生设计的，涵盖了二年级纯数的所有内容，适用于 Edexcel、OCR、AQA 和 MEI 等主要考试局。该课程同样适合希望深入学习更高级纯数的成人学习者。 **核心学习模块：** * **参数方程 (Parametric Equations):** 学习如何表示代数分数，并掌握偏分数的技巧，该技巧在课程后续内容中应用广泛。 * **函数与图像 (Functions in Graphs):** 探索模函数、图像变换，学习不同类型的函数、值域和定义域。 * **二项式展开 (Binomial Expansion):** 在一年级/AS 课程的基础上，扩展二项式展开公式，涵盖负数和分数指数。 * **弧度 (Radians):** 学习一种新的角度测量方式，以及它所带来的各种应用。 * **三角函数 (Trigonometric Functions):** 学习三个新的三角函数（sec、cosec 和 cot），并研究它们的多样化用法。 * **三角恒等式与建模 (Trigonometric Identities and Modelling):** 学习复合角公式，并将其应用于实际场景建模，同时探讨谐波形式。 * **微分 (Differentiation):** 在一年级/AS 课程的基础上，深入学习微分，重点掌握链式法则、乘积法则和商法则，以及相关变化率。 * **积分 (Integration):** 学习多种积分技巧，处理日益复杂的函数，并探索微分方程。 * **参数方程（进阶）(Parametric Equations - Advanced):** 学习参数方程这一新的曲线表示方法，并将其与微积分结合。 * **数值方法 (Numerical Methods):** 探讨求解无法找到精确解的方程（如 x = cosx）的各种技术。 * **向量 (Vectors):** 在纯数一年级课程的基础上，学习三维向量的运算。 **课程组成：** * **教学视频：** 教师将详细讲解每个主题，介绍关键概念，并通过一系列示例涵盖所有重要知识点，同时指出常见误区。 * **随堂测验 (Quizzes)：** 每个子主题后都设有随堂测验，以巩固学习内容。多数题目取自 A-Level 历年真题。 * **练习题 (Worksheets)：** 每个章节结束时提供历年真题集，供学生练习。所有练习题均附有详细的评分标准。 **课程福利：** * 30 天退款保证。 * 可打印的 Udemy 结业证书。 * 在问答区获得支持。
A-Level Maths: Pure (Year 2) is a course for anyone studying A-Level Maths:This course covers all the second year pure content in A-Level. The course is suitable for all major exam boards, including Edexcel, OCR, AQA and MEI. It is also a great course for anyone wanting to learn some more advanced pure maths. This course is intended for purchase by adults. The main sections of the course are:- Parametric Equations - where we learn how to express algebraic fractions in partial fractions, a trick used to great effect later in the course.- Functions in Graphs - where we explore modulus functions, graph transformations, and learn about different types of functions, range and domain.- Binomial Expansion - here we extend the binomial expansion formula covered in my Pure (Year 1 / AS) course to include negative and fractional powers.- Radians - we learn about a new way to measure angles, and the amazing things that this facilitates.- Trigonometric Functions - here we learn about three new trig functions (sec, cosec and cot), and explore the numerous ways that these new functions can be used.- Trigonometric Identities and Modelling - Here we learn about the compound angle formulae, and look at how these can be used. We also explore harmonic form and learn to use this to model real-world scenarios.- Differentiation - in this chapter we take the differentiation already learned in the Pure (Year 1 / AS) course to a whole new level. We learn how to differentiate pretty much every type of function we can think of, learning about the chain rule, product and quotient rules, as well as connected rates of change.- Integration - a giant chapter in which we learn many different techniques to integrate increasing advanced functions. We also explore differential equations.- Parametric Equations - here we learn about a brand new way to represent a curve, and explore how to use calculus with parametric curves.- Numerical Methods - here we explore various techniques for finding roots of equations, like x = cosx, that are impossible for find exact solutions to.- Vectors - here we learn how to work with vectors in 3D, extending what was covered in the previous pure course.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
