A-Level Mathematics (Edexcel IAL)

Course Overview 课程介绍

Edexcel IAL 数学采用模块化按 Unit 考试，纯数 P1-P4 加应用单元，理工科与经济商科核心基础。

Edexcel International A-Level Mathematics is a modular course combining four Pure Mathematics units (P1-P4) with applied units in Mechanics (M1/M2), Statistics (S1/S2) and Decision Mathematics (D1). Students sit each unit exam separately and may retake individual units. Content covers algebra, functions, calculus, vectors, mechanics and probability, with strong emphasis on modelling and problem solving. A core subject for mathematics, engineering, physics, computer science, economics and finance.

Key Facts 基本信息

Exam Board (考试局)	Pearson Edexcel International A-Level
Specification Code (代码)	WMA11-14 (Pure Mathematics P1-P4)
Structure (结构)	Modular; 4 Pure + 2 Applied units; AS = P1, P2 + one applied; A2 = P3, P4 + one applied
Grading (评分)	A* - E for full A-Level; a - e for AS
Exam Units (模块)	Modular structure, unit-by-unit assessment, single unit retake allowed
Applied Options (应用单元)	Mechanics M1/M2, Statistics S1/S2, Decision D1 (two applied units required)

AS Syllabus AS 阶段章节（P1-P2）

P1Algebra and Equations

Indices, surds, quadratics, simultaneous equations, inequalities, algebraic manipulation
P1Coordinate Geometry and Vectors

Equation of a straight line, circles, coordinate geometry in two dimensions, 2D vectors
P1Trigonometry

Trigonometric ratios, identities, equations, sine and cosine rules, radians
P1Differentiation and Integration

Differentiation from first principles, tangents and normals, stationary points, integration, area under a curve
P1Exponentials and Logarithms

Exponential functions, logarithms, natural logarithm, modelling growth and decay
P2Functions and Graphs

Factor and remainder theorem, modulus functions, composite and inverse functions, graph transformations
P2Sequences and Series

Arithmetic and geometric sequences, sigma notation, binomial expansion
P2Further Calculus and Trigonometry

Chain, product and quotient rules, integration by substitution, trapezium rule, compound angle formulae

A2 Syllabus A2 阶段章节（P3-P4）

P3Algebraic Fractions and Functions

Algebraic fractions, partial fractions, composite, inverse and modulus functions
P3Sequences and Series

Recurrence relations, sigma notation, binomial series for rational powers
P3Trigonometry (Advanced)

Compound and double angle formulae, R formulae, trigonometric identities and equations
P3Further Differentiation and Integration

Implicit and parametric differentiation, integration by parts and substitution, volumes of revolution
P3Numerical Methods and Vectors

Iteration, Newton-Raphson method, numerical integration, three-dimensional vectors
P4Parametric Equations and Proof

Parametric equations, curves and their cartesian forms, proof by deduction, contradiction and exhaustion
P4Differential Equations and Vectors

First order differential equations, modelling with differential equations, 3D vector lines and planes

Exam Structure (Edexcel IAL WMA11-14) 考试结构

P1 (WMA11)	Pure Mathematics 1 · 1h30m · 16.7% of A-Level (33.3% of AS)
P2 (WMA12)	Pure Mathematics 2 · 1h30m · 16.7% of A-Level (33.3% of AS)
P3 (WMA13)	Pure Mathematics 3 · 1h30m · 16.7% of A-Level
P4 (WMA14)	Pure Mathematics 4 · 1h30m · 16.7% of A-Level
Applied Units	Two from M1/M2, S1/S2, D1 · 1h30m each · 33.3% of A-Level
Modular Feature	Modular structure, unit-by-unit assessment, single unit retake allowed

Suitable Majors & Pathway 适合专业与升学路径

适合数学、工程、物理、计算机、经济与金融专业，是英国理工与商科专业录取的核心基础科目。

Mathematics is required for mathematics, engineering, physics, computer science, economics, finance and statistics programmes, and strongly preferred for business and natural science degrees. Paired with Further Mathematics it opens doors to top STEM universities. The modular Edexcel IAL structure lets students resit individual Pure or Applied units to maximise their final A-Level grade.