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所在平台: Udemy |
课程主页: https://www.udemy.com/course/a-level-pure-1/
课程评论：没有评论
课程名称：A-Level 数学：纯（第一年 / AS） 课程概述：A-Level 数学：纯（第一年 / AS）课程适合所有正在学习 A-Level 数学的学生，涵盖 A-Level AS 数学的所有纯数学内容，通常在第一学年（12 年级）学习。该课程适用于所有主要考试委员会，包括 Edexcel、OCR、AQA 和 MEI，同时也是对纯数学有兴趣的人们的良好入门。 课程主要内容包括： - 等式与不等式：学习各种函数，包括二次函数、线性函数和立方函数。 - 图形：掌握如何绘制和处理图形，包括高阶多项式及图形变换。 - 直线图形：在 GCSE 基础上深化，介绍直线图形的新用法。 - 圆：学习如何在坐标平面上表示圆，找到切线并解决圆与直线的交点问题。 - 多项式除法：学习新的代数技巧以进行高阶多项式的除法、因式分解和求解。 - 证明：学习不同的数学证明技巧。 - 二项式扩展：学习如何扩展大幂次的括号。 - 三角函数：通过两章内容，使用三角函数解决三角形问题、三角方程及图形的绘制，证明三角恒等式。 - 向量：将 GCSE 向量概念扩展到更复杂的问题，包括向量证明。 - 微分：引入强大而激动人心的数学概念，探讨曲线的梯度、切线、静止点和优化问题。 - 积分：学习如何使用积分找出曲线下的面积。 - 指数与对数：学习指数函数和对数，以及如何用这些知识模拟各种现实世界场景。 课程提供内容： - 视频：观看讲解，介绍关键概念并通过多种例子覆盖重要内容，同时指出常见误区和错误以帮助学生避免。 - 练习：每个小节后有简短测验，帮助学生检测对内容的理解。测验题目大多来源于真实的 A-Level 过去试卷。 - 习题：每章末尾整理了一系列真实 A-Level 试卷中的问题，配有详细的评分标准，供学生自我评估。 本课程还提供： - 30 天退款保证。 - 可打印的 Udemy 完成证书。 - Q&A 部分的支持，学生如有疑问可随时询问。 希望你能享受这门课程！ — Woody
A-Level Maths: Pure (Year 1 / AS) is a course for anyone studying A-Level Maths:This course covers all the pure content in A-Level AS maths, usually covered in the first year of study (Year 12). The course is suitable for all major exam boards, including Edexcel, OCR, AQA and MEI. It is also a great introduction to pure maths for anyone interested in getting started.The main sections of the course are:- Equations and Inequalities - we will look at a wide range of different functions, including quadratic, linear and cubic functions.- Graphs - we will learn how to sketch and work with graphs, including higher order polynomials, as well as graph transformations.- Straight Line Graphs - we take this topic, familiar from GCSE, and push it to the next level, introducing new ways of using straight line graphs.- Circles - we learn how to represent circles in the coordinate plane, find tangents to circles and solve intersections with lines.- Polynomial Division - we learn new and powerful algebraic techniques that allow us to divide, factorise and solve higher order polynomials.- Proof - we learn a range of different techniques for proving mathematical claims.- Binomial expansion - here we learn a new algebraic technique for expanding brackets raise to large powers.- Trigonometry - in the two trigonometry chapters we look at how to use trigonometry to solve triangle problems, but also solve trigonometric equations, sketch tri graphs, and prove trigonometric identities.- Vectors - we extend GCSE vector ideas to much more complex problems, including vector proofs.- Differentiation - in this huge chapter we introduce one of the most powerful and exciting ideas in mathematics. We look at gradients of curves, tangents, stationary points and optimisation problems.- Integration - here we look at the other side of calculus, and learn how to use integration to find areas under curves.- Exponentials and Logarithms - we learn about the exponential function, logarithms, the natural log, as well as how to use these ideas to model a range of real-world scenarios.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
