Content section | Assessment component | Topics included |
---|---|---|
1. Pure Mathematics 1 |
Paper 1 |
1.1 Quadratics 1.2 Functions 1.3 Coordinate Geometry 1.4 Circular measure 1.5 Trigonometry 1.6 Series 1.7 Differentiation 1.8 Integration |
2. Pure Mathematics 2 | Paper 2 |
2.1 Algebra 2.2 Logarithmic and exponential functions 2.3 Trigonometry 2.4 Differentiation 2.5 Integration 2.6 Numerical solution of equations |
3. Pure Mathematics 3 | Paper 3 |
3.1 Algebra 3.2 Logarithmic and exponential functions 3.3 Trigonometry 3.4 Differentiation 3.5 Integration 3.6 Numerical solution of equations 3.7 Vectors 3.8 Differential equations 3.9 Complex numbers |
4. Mechanics | Paper 4 |
4.1 Forces and equilibrium 4.2 Kinematics of motion in a straight line 4.3 Momentum 4.4 Newton's laws of motion 4.5 Energy, work, and power |
5. Probability & Statistics 1 | Paper 5 |
5.1 Representation of data 5.2 Permutations and combinations 5.3 Probability 5.4 Discrete random variables 5.5 The normal distribution |
6. Probability & Statistics 2 | Paper 6 |
6.1 The Poisson distribution 6.2 Linear combinations of random variables 6.3 Continuous random variables 6.4 Sampling and estimation 6.5 Hypothesis tests |
从上表可以看出, A Level 数学一共有 6 个模块。对于只想拿到 AS 等级的考生,只需要考 3 个模块,其中必考模块是 Paper 1: Pure Mathematics 1 和 Paper 3: Pure Mathematics 3. 然后考生可以选择下列两个模块中的任何一个:
Paper 4: Mechanics
Paper 5: Probability & Statistics 1
中国考生参加 A Level 考试通常是为了进大学,所以我们不考虑AS选课组合,只考虑 Full A Level 选课组合。Full A Level 一共要考 4 个模块。那么我们的选择组合是:
必考模块:
Paper 1: Pure Mathematics 1 和
Paper 3: Pure Mathematics 3
选考组合一:
Paper 4: Mechanics 和 Paper 5: Probability & Statics 1
选考组合二:
Paper 5: Probability & Statistics 1 和 Paper 6: Probability & Statistics 2
注意,不存在 Paper 4 和 Paper 6 的组合。因为 Paper 6 的前置课程是 Paper 5.
至于究竟选择哪种组合,那得看学生对自己的大学专业的规划。如果打算走工程路线,那么就选择组合一,因为走工程路线,必须得有 Mechanics 基础;如果打算走商业、金融路线,那么就选择组合二,因为商业金融涉及到 Probability & Statistics 知识比较多。