A-Level Mathematics (AQA)

Course Overview 课程介绍

AQA A-Level 数学，线性结构，纯数 + 力学 + 统计三大板块，理工科申请核心。

A-Level Mathematics (AQA 7357) is a linear qualification covering Pure Mathematics, Mechanics and Statistics, examined by three terminal papers at the end of two years. Pure mathematics (proof, algebra, functions, coordinate geometry, sequences and series, trigonometry, exponentials and logarithms, calculus, numerical methods, vectors) is the dominant strand, with Mechanics and Statistics applied throughout. A core subject for mathematics, engineering, physics, economics and computer science applicants.

Key Facts 基本信息

AS / Year 1 Syllabus AS 阶段章节

• AS1. Pure: Proof, Algebra and Functions
  Proof by deduction and exhaustion, algebraic manipulation, indices, surds, quadratics, simultaneous equations, inequalities, polynomials, graphs, functions and transformations
• AS2. Pure: Coordinate Geometry and Sequences
  Straight lines, circles, equation of a circle, sequences and series including arithmetic and geometric series, binomial expansion
• AS3. Pure: Trigonometry, Exponentials and Logarithms
  Trigonometric ratios, identities and equations, sine and cosine rules, exponentials and natural logarithms, modelling
• AS4. Pure: Differentiation and Integration
  Differentiation from first principles, standard derivatives, tangents and normals, stationary points, indefinite and definite integration, area under a curve
• AS5. Pure: Vectors
  Two-dimensional vectors, magnitude and direction, vector addition and scalar multiplication, position vectors
• AS6. Mechanics: Kinematics and Forces
  Quantities and units in mechanics, kinematics with constant acceleration (suvat), forces and Newton's laws, motion under gravity
• AS7. Statistics: Data, Probability and Distributions
  Statistical sampling, data presentation and interpretation, probability, binomial distribution, hypothesis testing for binomial proportion

A2 / Year 2 Syllabus A2 阶段章节

• A28. Pure: Advanced Algebra and Functions
  Proof by contradiction, partial fractions, functions (composite, inverse, modulus), rational functions, parametric equations
• A29. Pure: Sequences, Series and Trigonometry
  Sigma notation, recurrence relations, binomial expansion (negative/fractional powers), compound and double angle formulae, small angle approximations, trigonometric identities and equations, inverse trigonometric functions
• A210. Pure: Advanced Differentiation and Integration
  Chain, product and quotient rules, implicit and parametric differentiation, points of inflection, integration by substitution and by parts, partial fractions, trapezium rule, differential equations
• A211. Pure: Numerical Methods and 3D Vectors
  Location of roots (iteration, Newton-Raphson), three-dimensional vectors, vector equations of lines, scalar product
• A212. Mechanics: Variable Acceleration and Moments
  Kinematics with variable acceleration (calculus-based), projectiles, forces with friction, statics of rigid bodies, moments and equilibrium
• A213. Statistics: Normal Distribution and Hypothesis Testing
  Normal distribution, standard normal Z, inverse normal, hypothesis testing for the mean of a normal distribution, correlation coefficient, conditional probability

Exam Structure (AQA 7357) 考试结构

Suitable Majors & Pathway 适用专业与衔接

理工科与经济金融申请的核心科目，数学、工程、物理、经济、CS 强烈推荐。

A-Level Mathematics (AQA) is a prerequisite or strongly preferred subject for mathematics, statistics, engineering (all branches), physics, computer science, economics, finance, accounting and data science. The linear terminal exams integrate pure mathematics with mechanics and statistics, building strong analytical foundations for university calculus, linear algebra, mechanics and quantitative methods modules. Students targeting top universities often pair it with Further Mathematics.