Cambridge · Form 5 · Lower 6 · Syllabus 9231
Further Mathematics
4 topics4 with notes
0%
Study this subject topic by topic
Progress is saved on this device. Join free to keep it everywhere.
- Further Pure 1: roots, rational functions, series and induction Sums and products of roots (Σα, Σαβ, αβγ); symmetric functions; Sₙ = αⁿ + βⁿ + γⁿ using recurrence from the equation; transformations (y = 2x, y = x + 1, y = x²).
- Further Pure 1: matrices and polar coordinates 2×2 and 3×3 matrices; determinants and inverses; transformations in 2D (rotations, reflections, enlargements, stretches, shears) and their compositions; invariant points and invariant lines; area scale factor |det|.
- Further Mechanics Equation of trajectory y = x tan θ − gx²/(2u²cos²θ); range on a horizontal plane; maximum heights and two possible angles to hit a target.
- Further Probability and Statistics Probability density functions; E(X) = ∫xf(x) dx; Var(X) = ∫x²f(x) dx − μ²; cumulative distribution functions; median and percentiles; distribution of functions of a random variable.