Resources of OCR - 4725 - FP1 - Further Pure Mathematics 1

Summation of finite series using standard results

Mathematical induction

Summation of series using the method of differences

Roots and coefficients of quadratic polynomials

Roots

Stationary points, higher derivatives and curve sketching

The language of complex numbers and the Argand plane

Algebra of complex numbers

Matrix algebra

Properties of matrix multiplication

Inverse of a 2 x 2 matrix and determinants

Determinants

Linear dependence, independence, and singular and non-sinular matrices

Linear Transformations and matrices

Linear simulataneous equations, matrices and Gaussian eliminations

Systems of equations and linear dependence

Mathematical induction in matrix algebra