Maths a level fp3

Topics covered

Edexcel

  • 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: 3, 27, 34, 53, 61, 62, 75, 82, 88, 92, 98, 104, 107, 108, 116, 111http://www.thestudentroom.co.uk/showthread.php?t=109623 166]

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