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所在平台: Udemy |
课程主页: https://www.udemy.com/course/cambridge-international-a-level-maths-pure-1/
课程评论：没有评论
课程名称：CIE国际A-Level数学：纯数学1 课程概述： CIE国际A-Level数学课程为所有学习剑桥国际A-Level数学的人设计，涵盖了纯数学部分的内容（纯数学1），适用于学习的第一年。同时，这也是对纯数学感兴趣的初学者的良好入门课程。课程的主要内容包括： - 方程与不等式：研究各种不同的函数，包括二次函数、线性函数和三次函数。 - 二次函数：学习二次函数的性质、图形绘制、方程与不等式的解法以及判别式的应用。 - 函数：学习定义域、值域、反函数和复合函数，以及图形变换。 - 直线图形：在GCSE基础上进行更深入的学习，介绍直线图形的新用法。 - 圆：学习如何在坐标平面中表示圆、求圆的切线并解决直线与圆的交点问题。 - 三角学：在两章中学习如何使用三角学解决三角形问题、三角方程、三角图像的绘制以及证明三角恒等式。 - 圆弧度量：学习如何使用弧度计算扇形面积、弧长并解决三角方程。 - 图形：学习如何绘制和处理图形，包括高次多项式及其变换。 - 数列：学习二项式展开、选择函数，以及算术和几何数列的相关知识。 - 微分：引入微积分的一个重要概念，研究曲线的斜率、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，探索微积分的另一面。 - 指数与对数：学习指数函数、对数、自然对数，以及如何用这些概念建模实际场景。 请注意：本课程旨在为学习剑桥国际A-Level数学大纲的学生提供指导，而非UK大纲（由Edexcel、OCR、AQA和MEI考试委员会开设）。如果您需要这些内容，请查看我的其他课程！ 课程包括： - 视频：逐主题讲解所有关键概念，并通过各种示例涵盖重要思想，同时指出常见误区。 - 测验：每个子部分后有简短测验，以测试对内容的理解，题目大多取自真实的A-Level往年试题。 - 习题：每章结束后提供来自真实A-Level试题的练习题，并附带完整的评分标准。 课程内容还包括： - 可打印的Udemy完成证书。 - Q&A支持—如果遇到困难，随时可以提问！ 希望您享受这门课程！ Woody
CIE International A-Level Maths is a course for anyone studying the Cambridge International A-Level Maths:This course covers all the pure content in Paper 1 (Pure Mathematics 1) of the Cambridge International A-Level Maths Course, covered in the first year of study. 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.- Quadratics - we look at quadratic functions, how to sketch and work with them, solve equations and inequalities and work with the discriminant.- Functions - we learn about domain, range, inverse and composite functions, 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.- 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.- Circular Measure - we learn how to work with radians to calculate sector areas, arc lengths and solve trigonometric equations.- Graphs - we will learn how to sketch and work with graphs, including higher order polynomials, as well as graph transformations.- Series - we learn about binomial expansion and the choose function, as well as how to work with arithmetic and geometric series.- 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.Please note: This course is intended for people studying the Cambridge International A-Level Maths Syllabus, and not the UK syllabus (covered by Edexcel, OCR, AQA and MEI exam boards). If you are looking for these, check out my other courses on these!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 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
