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所在平台: Udemy |
课程主页: https://www.udemy.com/course/high-school-math-pure-mathematics-1/
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课程名称：剑桥国际A & AS级（纯数学1） 课程概述： 剑桥国际A & AS级（纯数学1）是一门专为剑桥（IB）AS/A Level学生及其他主要考试局（如Edexcel、OCR、AQA、MEI）设计的全面课程，旨在帮助学生充分理解纯数学1的关键概念并在考试中取得优异成绩。该课程共包含190多个讲座，视频时长超过27小时，分为12个以上的部分，涵盖所有关键主题。课程通过动手练习和模拟问题解决的方式，帮助学生掌握每一个概念，并通过每个主题末尾的练习题和测验巩固知识，准备考试。课程特别强调解答往年考题，增强学生的信心和应试能力。 学习内容： 1. 基础复习：刷新整数、幂、根、代数式、BODMAS和因式分解等基础技能。 2. 二次方程：掌握因式分解、配方及求根公式等多种解法，学习绘制二次图像及分析根的性质。 3. 二次不等式：理解不同类型的区间，学习图形与代数两种方法解决二次不等式。 4. 坐标几何：探索坐标几何的基本概念，例如距离和中点公式、坡度及直线方程等。 5. 数列与级数：深入学习算术和几何数列，找出通项及计算有限和无限级数的和。 6. 二项式定理：掌握运用二项式定理扩展二项式、找到特定项及系数。 7. 函数：深入理解函数及其定义域、值域，掌握复合函数和反函数的图形及代数表现。 8. 微分：学习微分基本概念，包括幂法则、切线与法线、静止点，以及在实际问题中的应用。 9. 积分：理解积分的核心概念，从微积分基本定理到求解曲线间面积和体积。 为什么选择这门课程？ - 内容覆盖广泛：为主要考试局覆盖所有必要主题，确保学生充分准备。 - 动手学习：与讲师一起解决问题，针对多种题型进行练习，增强自信心和能力。 - 丰富资源：提供大量练习题、测验和往年考题解决方案。 加入课程，迈向学业成功的第一步！课程还提供终身访问权限，全方位支持你的问题，以及完成证明证书和30天的退款保证。 许多学生对课程的评价： - “这门课程真的很好，尤其是二项式、微分和几何部分非常适合初学者。” - Vedant - “这是我看过的最好的课程之一。” - Daniel Wade - “这对提高我的数学辅导技巧非常有帮助，我感觉准备得更充分了。” - Hamish - “这是一个优秀的选择，可以通过练习题和过往考题的解决方案深入理解纯数学1的概念。” - Shaikh Muhammad 欢迎随时联系我，期待在课程中见到你！
Cambridge International A & AS Level (Pure Mathematics 1) Year 1 and other major exam boards, including Edexcel, OCR, AQA, and MEIUnlock the secrets of Pure Mathematics 1 with this comprehensive and meticulously crafted course designed specifically for Cambridge (IB) AS/A Level students and other major exam boards, including Edexcel, OCR, AQA, and MEI. Whether you're aiming to ace your exams or seeking a deeper understanding of high school mathematics, this course provides everything you need to succeed.With over 190 lectures spanning more than 27 hours of on-demand video content, this course is structured into 12+ sections, covering all key topics in Pure Mathematics 1. Each lecture takes a hands-on approach, guiding you through multiple problem-solving exercises to reinforce learning and ensure mastery of each concept. In addition, practice questions and quizzes at the end of each topic will solidify your knowledge and prepare you for exam-level challenges. We also provide an extensive focus on solving past paper questions, equipping you with the confidence and skills needed to excel in your exams.What You Will Learn:1. Essential Revision Sections 1 & 2:Refresh your foundational skills in topics like integers, powers, roots, algebraic expressions, BODMAS, and factorization techniques.2. Quadratic Equations:Master various methods of solving quadratic equations, including factorization, completing the square, and the quadratic formula. Learn to sketch quadratic graphs, analyze the nature of roots, and solve equations reducible to quadratic forms.3. Quadratic Inequalities:Understand different types of intervals and learn how to solve quadratic inequalities both graphically and algebraically.4. Coordinate Geometry:Explore the fundamental concepts of coordinate geometry, such as distance and midpoint formulas, gradients, and the equations of lines. Learn to graph straight lines and find intersections with parabolas.5. Sequence and Series:Dive into arithmetic and geometric sequences, learn to find general terms, and calculate sums for both finite and infinite series.6. Binomial Theorem:Gain expertise in expanding binomials using the Binomial Theorem, finding specific terms and coefficients, and understanding properties of combinations.7. Functions:Develop a deep understanding of functions, their domains and ranges, and how to determine even and odd functions. Learn about composite and inverse functions both graphically and algebraically.8. Differentiation:Learn the fundamentals of differentiation, including the power rule, tangents and normals, stationary points, and applications in real-life scenarios like rates of change and optimization problems.9. Integration:Understand the core concepts of integration, from the Fundamental Theorem of Calculus to applications like finding areas between curves and volumes by integration.Why This Course?Extensive Coverage: Tailored to cover all essential topics required by major exam boards, ensuring you are well-prepared for any exam.Hands-On Learning: Solve problems alongside the instructor and tackle a variety of question types to build confidence and competence.Comprehensive Resources: Benefit from a wealth of practice questions, quizzes, and past paper solutions.Enroll now and take the first step towards achieving your academic goals!Enhance your learning experience today with this all-encompassing math course and secure your success in high school mathematics!Here's what some students say about the course:"This course is really good especially binomial, differentiation, and geometry lessons of this course can really help the beginners. The best part of the course is the Essential Revision where you can learn most of the important things again" - Vedant"This course is one of the best" - Daniel Wade"I am finding this an invaluable resource to improving my maths tutoring skills. The approach is very through; Ruchi leaves no stone unturned.and I feel much better prepared" - Hamish"What an amazing course and instructor. Upon completing the entire course, I feel satisfied and glad. Ruchi is a genuine online teacher who cares about her student's response and feedback. This course is an excellent choice for learning Pure Mathematics 1 concepts and for putting them to use through practice problems and past paper problems (with solutions), which are provided in the course" - Shaikh Muhammad"It was a challenge. I enjoyed it! Thank You!" - Ralph Benton Jones"Nice course, short and sweet, very helpful, excellent explanations" - Akshit KabraWith this course you'll also get:Full lifetime access to the courseComplete support for any question, clarification or difficulty you might face on the topicUdemy Certificate of Completion available for download30-day money back guaranteeFeel free to contact me for any questions or clarifications you might have.I look forward to seeing you in the course!:)
