Cambridge AS & A Level Mathematics
2-3Pure Mathematics 2 and Pure Mathematics 3 (Papers 2 and 3)
Overview
Paper 2 (AS Level only) and Paper 3 (A Level only) are alternatives: a candidate never takes both in one series. Paper 2 content (topics 2.1-2.6) is largely a subset of Paper 3 content (3.1-3.6) and is listed once; node components show which paper examines each part. Both papers assume the Paper 1 content.
In this topic
Lessons
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Exponential and logarithmic functions: e^x and ln x
40 min
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Laws of logarithms and equations with unknown indices
40 min
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Reducing relationships to linear form
40 min
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Compound-angle and double-angle formulae
40 min
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Secant, cosecant and cotangent
45 min
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The harmonic form R sin(θ ± α) and R cos(θ ± α)
45 min
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Derivatives of exponential, logarithmic and trigonometric functions
40 min
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Implicit and parametric differentiation
45 min
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The product and quotient rules
40 min
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Locating roots and fixed-point iteration
45 min
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The scalar product and angles between vectors
50 min
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Vector equations of lines in three dimensions
55 min
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Vectors in two and three dimensions
50 min
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First-order differential equations with separable variables
50 min
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Complex numbers in Cartesian form
45 min
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Loci in the Argand diagram
50 min
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Polynomial equations with complex roots
45 min
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The Argand diagram, modulus–argument and polar form
50 min
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Integrating exponential, reciprocal and trigonometric functions
40 min
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The modulus function: graphs, equations and inequalities
40 min
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Sample question
A sample question on this topic. Answer it, check it, then read the worked answer.
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