翰林国际教育Alevel Pure Math数学辅导计划

Pure Math数学课程

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。

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Pure Math数学课本

Edexcel

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Pure Math数学真题

翰林国际教育 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。
*翰林国际教育原创内容，谢绝转载。课程咨询/商务合作请联系小助手linstitute。