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Further Pure 1

The first pure option paper: half-angle substitutions, Taylor series, conics, cross products and the limits that calculus alone cannot reach.

Further Maths · 10 topics.

• The t-formulae
• Taylor series
• Limits and L'Hospital's rule
• Leibnitz's theorem and the Weierstrass substitution
• Series solutions of differential equations
• Conic sections
• Tangents, normals and loci of conics
• The vector product and the scalar triple product
• Numerical methods for differential equations
• Inequalities and inequations