Learn · ⁨学ぶ⁩

Pearson Edexcel · International A-Level · Pure Mathematics

Choose a lesson to begin. · ⁨Lesson を選択して開始してください。⁩

Course units and learning goals · ⁨コース単元と学習目標⁩ →These lessons teach selected course objectives. Check the remaining coverage gaps; the material is not a complete preparation programme. · ⁨これらのレッスンは特定のコース目標に焦点を当てています。残りのカバー範囲のギャップを確認してください。この教材は完全な準備プログラムではありません。⁩

1 P1 · Pure Mathematics 1 0 / 7

1 Indices, surds and standard form · ⁨指数、累乗根、標準形⁩ 2 Quadratics and inequalities 3 Coordinate geometry and tangents 4 Right triangles and non-right triangles 5 Radians, identities and trigonometric equations 6 Derivatives and stationary points 7 Integrals, area and accumulation

2 P2 · Pure Mathematics 2 0 / 10

1 Deduction, contradiction and induction 2 Quadratics and inequalities 3 Coordinate geometry and tangents 4 Sequences, series and recurrence 5 Binomial expansion and valid approximations 6 Exponentials, logarithms and modelling 7 Radians, identities and trigonometric equations 8 Derivatives and stationary points 9 Integrals, area and accumulation 10 Root finding and numerical integration

3 P3 · Pure Mathematics 3 0 / 6

1 Domains, inverses and composition 2 Radians, identities and trigonometric equations 3 Exponentials, logarithms and modelling 4 Chain, product, quotient and implicit differentiation 5 Integrals, area and accumulation 6 Fixed-point iteration · ⁨固定点反復法⁩

4 P4 · Pure Mathematics 4 0 / 8

1 Deduction, contradiction and induction 2 Equations, identities and rearrangement 3 Binomial expansion and valid approximations 4 Conics, parametric curves and tangent reasoning 5 Chain, product, quotient and implicit differentiation 6 Substitution, parts and partial fractions 7 Differential equations and numerical solutions 8 Spatial vectors, lines and angles

5 FP1 · Further Pure Mathematics 1 0 / 6

1 Complex arithmetic and quadratic roots 2 Parabolas and rectangular hyperbolas 3 Matrix operations, inverses and plane transformations 4 Bisection and Newton root finding · ⁨二等分法とニュートンの根探索法⁩ 5 Finite sums and induction 6 Deduction, contradiction and induction

6 FP2 · Further Pure Mathematics 2 0 / 6

1 Quadratics and inequalities 2 Series, finite differences and Taylor expansions 3 Complex numbers and roots 4 Differential equations and numerical solutions 5 Second-order linear differential equations 6 Polar curves and area

7 FP3 · Further Pure Mathematics 3 0 / 6

1 Hyperbolic functions and inverse relations · ⁨双曲線関数および逆関係⁩ 2 Conics, parametric curves and tangent reasoning 3 Chain, product, quotient and implicit differentiation 4 Substitution, parts and partial fractions 5 Spatial vectors, lines and angles 6 Matrix transformations, inverses and eigenvalues