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
AlgebraThe Modulus Function
Polynomials
Binomial Series
Partial Fractions
QuadraticsCompleting the square
Sketching the Graph
Discriminant
Quadratic Inequalities
Solving Equations in Quadratic Form
FunctionsFind Range
Composition of 2 Functions
Prove One-One Functions
Finding Inverse
Relationship of Function & its Inverse
Coordinate geometryLength of a Line Segment
Gradient of a Line Segment
Midpoint of a Line Segment
Equation of a Straight Line
Special Gradients
Circular measureRadians
Arc length
Area of a Sector
TrignometryRatios
Identities
Graphs
Double Angle Identities
Addition Identities
Changing Forms
Sine Curve
Cosine Curve
Tangent Curve
When sin, cos and tan are positive
Identities
SeriesBinomial Theorem
Arithmetic Progression
Geometric Progression
DifferentiationBasic Derivatives
Chain, Product and Quotient Rule
Parametric Equations
Implicit Functions
Chain Rule
Differential equations
Nature of Stationary Point
Connected Rates of Change
IntegrationTo Find Area
To Find Volume
To Find Volume
Basic Integrals
Integration by -Substitution
Integrating
Integrating By Parts
Integrating Powers of Sine or Cosine
Integrating
VectorsEquation 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 numbersThe Basics
Quadratic
Square Roots
Argand Diagram
Locus
Polar Form
Multiplication and Division in Polar Form
De Moivre’s Theorem
Sloving equations numericallyApproximation
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。
*翰林学院原创内容,谢绝转载。课程咨询/商务合作请联系小助手linstitute。

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