Singapore-Cambridge A Level H2 Mathematics Syllabus
The H2 Mathematics syllabus (9758) is divided into two main areas: Pure Mathematics and Statistics. Both are tested across two papers, with an emphasis on application and problem-solving.
Core Pure Mathematics Topics
- Functions and Graphs Covers transformations, compositions, inverse functions, and graphing inequalities.
- Sequences and Series Includes arithmetic and geometric progressions, and the method of differences.
- Vectors Explores lines and planes in 3D space, including their intersections and distances.
- Complex Numbers Involves Argand diagrams, polar form, exponential form, and de Moivre's theorem.
- Calculus Covers differentiation and integration techniques, with applications to rates of change and volumes.
- Maclaurin Series Focuses on finding series expansions for standard functions like e^x, sin(x), and ln(1+x).
- Differential Equations Involves formulating and solving first-order differential equations by various methods.
Core Statistics Topics
- Probability Covers permutations, combinations, and concepts of conditional probability and independence.
- Discrete Random Variables Focuses on Binomial and Poisson distributions as models for real-world scenarios.
- Normal Distribution Includes properties of the normal distribution and its use in modelling continuous variables.
- Sampling and Estimation Involves finding unbiased estimates of population parameters and constructing confidence intervals.
- Hypothesis Testing Involves formulating hypotheses and conducting tests for means and proportions.
- Correlation and Regression Explores the linear relationship between two variables using scatter diagrams and regression lines.