Pearson Edexcel · International A-Level · Pure Mathematics

• 2.5.2 Pure Mathematics 2: building on the P1 toolkit
• 2.1.1 2.1.2 2.1.3 Proof
• 2.2.1 Algebra: the factor and remainder theorems
• 2.3.1 Coordinate geometry of the circle
• 2.4.1 2.4.2 2.4.3 2.4.4 2.4.5 Sequências e séries
• 2.5.1 2.5.2 2.5.3 Exponenciais e logaritmos
• 2.6.1 2.6.2 Trigonometric identities and equations
• 2.7.1 Differentiation: stationary points
• 2.8.1 2.8.2 2.8.3 Integration: areas and the trapezium rule
• 2.8.1 2.8.2 2.8.3 Checklist before you call this unit done

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• 3.2.3 Pure Mathematics 3: functions, identities and calculus at speed
• 3.1.1 3.1.2 Algebra: rational expressions and functions
• 3.1.3 3.1.4 The modulus function and combined transformations
• 3.2.1 3.2.2 3.2.3 Further trigonometry: sec, cosec, cot and harmonic form
• 3.3.1 3.3.2 3.3.3 Exponentials, logarithms and log-graph models
• 3.4.1 3.4.2 3.4.3 3.4.4 Differentiation: rules, implicit and models
• 3.5.1 3.5.2 Integration: standard forms and recognition
• 3.6.1 3.6.2 Numerical methods: sign changes and iteration
• 3.6.1 3.6.2 Checklist before you call this unit done

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• 4.4.1 Matemática Pura 4: prova, parametrização e cálculo completo
• 4.1.1 Prova por contradição
• 4.2.1 Frações parciais
• 4.3.1 Equações paramétricas
• 4.4.1 Série binomial para qualquer racional n
• 4.5.1 Diferenciação implícita e paramétrica
• 4.5.2 4.6.4 Equações diferenciais e taxas relacionadas
• 4.6.2 4.6.3 Integração: substituição, partes e frações parciais
• 4.6.1 4.6.5 Volumes de revolução e áreas paramétricas
• 4.7.1 4.7.2 4.7.3 4.7.4 4.7.5 4.7.6 4.7.7 Vetores
• 4.7.1 4.7.2 4.7.3 4.7.4 4.7.5 4.7.6 4.7.7 Lista de verificação antes de considerar esta unidade concluída

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• 1.4.1 Further Pure Mathematics 1: complex numbers, matrices and proof
• 1.1.1 1.1.2 1.1.3 1.1.4 Números complexos
• 1.1.5 1.1.6 Complex roots of polynomials
• 1.2.1 1.2.2 1.2.3 Roots of quadratic equations
• 1.3.1 Solução numérica de equações
• 1.4.1 1.4.2 1.4.3 1.4.4 Parabola and rectangular hyperbola
• 1.5.1 1.5.2 1.5.3 1.5.4 1.5.5 Matrix algebra
• 1.6.1 1.6.2 1.6.3 1.6.4 Transformations using matrices
• 1.7.1 Séries
• 1.8.1 Proof by mathematical induction
• 1.8.1 Checklist before you call this unit done

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• 2.1.1 Further Pure Mathematics 2: inequalities, further complex numbers and differential equations
• 2.1.1 Inequalities involving the modulus sign
• 2.2.1 The method of differences
• 2.3.1 2.3.2 Euler's relation and de Moivre's theorem
• 2.3.3 2.3.4 Loci, regions and z→w transformations
• 2.4.1 2.4.2 2.4.3 First order differential equations
• 2.5.1 2.5.2 Second order differential equations
• 2.6.1 2.6.2 2.6.3 2.6.4 Maclaurin and Taylor series
• 2.7.1 2.7.1#occurrence2 Polar coordinates and areas
• 2.7.1 2.7.1#occurrence2 Checklist before you call this unit done

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• 3.1.1 Further Pure Mathematics 3: hyperbolic functions, conics, vectors and matrices
• 3.1.1 Funções hiperbólicas
• 3.1.2 Inverse hyperbolic functions
• 3.2.1 3.2.2 The ellipse and the hyperbola
• 3.2.3 3.2.4 Tangents, normals and loci
• 3.3.1 3.3.2 Differentiating hyperbolic and inverse functions
• 3.4.1 3.4.2 Integrating hyperbolic and inverse functions
• 3.4.3 3.4.4 3.4.5 3.4.6 Substitutions, reduction formulae and surfaces of revolution
• 3.5.1 3.5.2 3.5.3 Vectors: products, lines and planes
• 3.6.1 3.6.2 3.6.3 3.6.4 3.6.5 3.6.6 3.6.7 3.6.8 Further matrix algebra
• 3.6.1 3.6.2 3.6.3 3.6.4 3.6.5 3.6.6 3.6.7 3.6.8 Checklist before you call this unit done

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