Further Mathematics (9665)

7个单元 · 42个章节

免费的Further Mathematics (9665)学习笔记,专为Oxford AQA International A-level学生准备。下列每个章节都涵盖一个重点主题,附有例题与练习提示,可在 thinka 应用中延伸练习。

FP1: Pure Maths

FPP1: Pure Maths

FS1: Statistics

  • Bayes’ Theorem

  • Uniform distribution

  • Geometric distribution

  • Probability generating functions (pgf)

  • Linear combinations of discrete random variables

FM1: Further Mechanics

  • Constant velocity in two dimensions

  • Dimensional analysis

  • Collisions in one dimension

FP2: Pure Maths

  • Roots and polynomials

  • De Moivre’s Theorem

  • Polar coordinates

  • Proof by induction

  • Finite series

  • Series and limits

  • The calculus of inverse trigonometrical functions Content

  • Arc length and area of surface of revolution about the x-axis

  • Hyperbolic functions

  • Differential equations – first order

  • Differential equations – second order

  • Vectors and three-dimensional coordinate geometry

  • Matrix algebra

  • Solution of linear equations

FS2: Statistics

FM2: Mechanics

  • Vertical circular motion

  • Projectiles launched onto inclined planes

  • Elastic strings and springs

  • Collisions in two dimensions

  • Application of differential equations

  • Simple harmonic motion

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