# 翰林学院Alevel Pure Math数学辅导计划

### A-Level Pure Math数学课程

A-Level数学课程属于英国GCSE数学的进阶课程。不同考试局设置课程的理念较为相似，均考察纯数学、力学和统计学。数学课程一般分为两年学习，第一年学习纯数学和统计学，第二年学习纯数学和力学。如学生计划未来学习高等数学课程，则数学课程压缩在一年内完成。各大考试局对于A*的定义不完全一致，但通常总分在90%以上为A*。英国名校的理工科、金融类、经济类、心理学类等专业往往对申请者数学有A*的要求。

### A-Level Pure Math数学课本

Edexcel

A-Level Pure Math数学真题

### 翰林学院Alevel Pure Math数学辅导计划

 Topic Subtopics Hours* Homework Algebra The Modulus Function Polynomials Binomial Series Partial Fractions Quadratics Completing the square Sketching the Graph Discriminant Quadratic Inequalities Solving Equations in Quadratic Form Functions Find Range Composition of 2 Functions Prove One-One Functions Finding Inverse Relationship of Function & its Inverse Coordinate geometry Length of a Line Segment Gradient of a Line Segment Midpoint of a Line Segment Equation of a Straight Line Special Gradients Circular measure Radians Arc length Area of a Sector Trignometry Ratios Identities Graphs Double Angle Identities Addition Identities Changing Forms Sine Curve Cosine Curve Tangent Curve When sin, cos and tan are positive Identities Series Binomial Theorem Arithmetic Progression Geometric Progression Differentiation Basic Derivatives Chain, Product and Quotient Rule Parametric Equations Implicit Functions Chain Rule Differential equations Nature of Stationary Point Connected Rates of Change Integration To Find Area To Find Volume To Find Volume Basic Integrals Integration by -Substitution Integrating Integrating By Parts Integrating Powers of Sine or Cosine Integrating Vectors Equation of a Line Parallel, Skew or Intersects Angle between Two Lines Finding the Equation of a Line Distance from a Line to a Point Equation of a Plane Cross Product Rule Finding the Equation of a Plane A Line and a Plane Finding the Point of Intersection between Line and Plane Finding Line of Intersection of Two Non-Parallel Planes Distance from a Point to a Plane Angle between Two Planes Angle between a Line and a Plane Angles Complex numbers The Basics Quadratic Square Roots Argand Diagram Locus Polar Form Multiplication and Division in Polar Form De Moivre’s Theorem Sloving equations numerically Approximation Iteration Total

*本辅导计划将AS和Alevel内容放在一起。
*计划课时仅供学霸级学员参考，实际用时依学员具体情况会有调整。
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