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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:

• Ex 2C: 10, 12

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

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