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Maths A Level FP3
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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:
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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