Maths a level fp3

Topics covered


  • Maclaurin and Taylor series and use to solve differential equations


  • Exponential form of a complex number
  • Relations between trig functions and hyperbolic trig functions
  • De Moivre's theorem
  • Cube and nth roots of unity and any complex number
  • Loci in the complex plane and transforming between z and w plane


  • Linear transformations as matrices
  • Matrix addition, subtraction and multiplication
  • Inverse of a 2x2 and 3x3 matrix
  • Eigenvalues and eigenvectors
  • Diagonalising a symmetric matrix


  • Vector (cross) product and its applications
  • Equations of planes
  • Intersection and angles between lines and planes
  • Shortest distance between two skew lines


  • Step by step methods for solving differential equations


  • Proof by induction

Textbook Answers

Chapter 2 - Complex Numbers:

Review Exercise: 327345361627582889298104107, 108116111 166]

Your question not answered? Go post it in the Maths Forum.