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STEP
Topics
These topics cover the training scope of STEP. Open a topic for study guidance and worked examples.
1
Pure Mathematics A — Algebra and polynomialsPure A: Algebra & Polynomials
Study this topic →Factor theorem, complex factorisation, inequality proofs
2
Pure Mathematics B — Advanced CalculusPure B: Advanced Calculus
Study this topic →Integration by substitution, integration by parts, infinite series, differential equations
3
Pure Mathematics C — coordinate geometry and curvesPure C: Coordinate Geometry & Curves
Study this topic →Parametric equations, polar coordinates, area and arc length
4
Pure Mathematics D — Complex Numbers (STEP 3)Pure D: Complex Numbers (STEP 3)
Study this topic →De Moivre's theorem, roots of complex numbers, geometric applications
5
Matrices and transformations (divided into STEP 2/3)Matrices & Transformations (STEP 2/3)
Study this topic →STEP 2: 2×2 matrices, determinants, inverse matrices, transformations and invariant lines; STEP 3 additionally includes 3×3. Eigenvalues/diagonalisation are not required without provided guidance.
6
MechanicsMechanics
Study this topic →Particle motion, constrained motion, momentum and impulse
7
Statistics and probabilityStatistics & Probability
Study this topic →Discrete/continuous distributions, conditional probability, expectation and variance