The following are a list of A-levels topics in H2 Mathematics. I’ve added what I feel is the hardest part of each topic amongst students.
- Functions: Finding the range of a composite
- Curve Sketching: Sketching curves with unknowns and solving conics’ roots.
- Graphing Transformations: Finding the correct transformation the new graph went through from the original.
- Inequalities: When there are modulus
- Arithmetic Progression & Geometric Progression: Finding the general formula for those interest rate questions
- Summation and Series: MI with Trigo
- Recurrence Relation: Conjecture
- Differentiation: Parametric equations
- Maclaurins’ Series: “Hence” parts which require students to either approximate or relate to standard series.
- Integration: With trigonometry
- Definite Integral: Identify the region they want and crafting the correct rotation formula
- Differential Equations: with given substitution. General vs Particular Solution
- Vectors I: When no numbers are given, and its just all a, b, c.
- Vectors II: Distance between two planes, geometrical interpretations.
- Complex Numbers: Locus of half line. Questions combined with vectors.
- Probability: story questions which students are still unable to identify the clear events
- Permutation & Combination: Honestly, don’t spend too long on this questions, beyond 15 minutes. There are too many ways you can suffer at the hands of this question. I can’t even permute it.
- Normal Distribution: Continuity Correction after approximation
- Binomial & Poisson Distribution: When we need to find
for a passion distribution we know that we cannot take the difference of two poisson distributions. - Hypothesis Testing: Wrong alternate hypothesis
- Correlation & Regression: Choosing the appropriate model
