OCR A Level Further Mathematics Year 1 (AS)
US$ 40.79
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Description
Contents
Reviews
Language
English
ISBN
9781510434509
Cover
Title Page
Copyright
Contents
Getting the most from this book
Prior knowledge
1 Complex numbers
1.1 Extending the number system
1.2 Division of complex numbers
1.3 Representing complex numbers geometrically
2 Matrices and transformations
2.1 Matrices
2.2 Multiplication of matrices
2.3 Transformations
2.4 Successive transformations
2.5 Invariance
3 Roots of polynomials
3.1 Polynomials
3.2 Cubic equations
3.3 Quartic equations
3.4 Solving polynomial equations with complex roots
4 Induction
4.1 Proof by induction
Practice questions Pure Further Mathematics 1
5 Complex numbers and geometry
5.1 The modulus and argument of a complex number
5.2 Multiplying and dividing complex numbers in modulus-argument form
5.3 Loci in the Argand diagram
6 Matrices and their inverses
6.1 The determinant of a 2 × 2 matrix
6.2 The inverse of a 2 × 2 matrix
6.3 Finding the determinant and inverse of a 3 × 3 matrix
6.4 Using matrices to solve simultaneous equations
7 Vectors and 3D space
7.1 Finding the angle between two vectors
7.2 The vector equation of a line
7.3 The vector (cross) product
Practice questions Pure Further Mathematics 2
An introduction to radians
The identities sin (θ ± φ) and cos (θ ± φ)
Answers
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