Edexcel A Level Further Mathematics Year 1 (AS)
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Description
Contents
Reviews
Language
English
ISBN
9781510429871
Cover
Title Page
Copyright
Contents
Getting the most from this book
Acknowledgements
1 Matrices and transformations
1.1 Matrices
1.2 Multiplication of matrices
1.3 Transformations
1.4 Successive transformations
1.5 Invariance
2 Introduction to complex numbers
2.1 Extending the number system
2.2 Division of complex numbers
2.3 Representing complex numbers geometrically
3 Roots of polynomials
3.1 Polynomials
3.2 Cubic equations
3.3 Quartic equations
3.4 Solving polynomial equations with complex roots
4 Sequences, series and proof by induction
4.1 Sequences and series
4.2 Using standard results
4.3 Mathematical induction
4.4 Other proofs by induction
Practice questions 1
5 Applications of integration
5.1 Volumes of revolution
6 Complex numbers and geometry
6.1 The modulus and argument of a complex number
6.2 Multiplying and dividing complex numbers in modulus-argument form
6.3 Loci in the Argand diagram
7 Matrices and their inverses
7.1 The determinant of a matrix
7.2 The inverse of a matrix
7.3 The determinant and inverse of a 3 × 3 matrix
7.4 Using matrices to solve simultaneous equations
8 Vectors and 3D space
8.1 Finding the angle between two vectors
8.2 The vector equation of a line
8.3 The equation of a plane
8.4 Intersection of planes
8.5 Lines and planes
8.6 Finding distances
Practice questions 2
An introduction to radians
The identities sin (θ ± ϕ) and cos (θ ± ϕ)
Answers
Index
Back Cover
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