AQA A Level Further Mathematics Year 1 (AS)
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Description
Contents
Reviews
Language
English
ISBN
9781510434486
Cover
Title Page
Copyright
Contents
Getting the most from this book
Prior knowledge
1 Matrices and transformations
1 Matrices
2 Multiplication of matrices
3 Transformations
4 Successive transformations
5 Invariance
2 Introduction to complex numbers
1 Extending the number system
2 Division of complex numbers
3 Representing complex numbers geometrically
3 Roots of polynomials
1 Polynomials
2 Cubic equations
3 Quartic equations
4 Solving polynomial equations with complex roots
4 Conics
1 The conics and their graphs
Practice Questions 1
5 Hyperbolic functions
1 The hyperbolic functions
6 Sequences and series
1 Sequences and series
2 Using standard results
3 The method of differences
4 Proof by induction
5 Other proofs by induction
6 Polynomial approximations and Maclaurin series
7 Further calculus
1 Volumes of revolution
2 The mean value of a function
8 Complex numbers and geometry
1 The modulus and argument of a complex number
2 Multiplying and dividing complex numbers in modulus-argument form
3 Loci in the Argand diagram
Practice Questions 2
9 Polar coordinates
1 Polar coordinates
2 Sketching curves with polar equations
10 Rational functions and further algebra
1 Graphs of rational functions
2 Inequalities
11 The determinant of a matrix
1 The determinant of a matrix
2 The inverse of a matrix
12 Vectors and 3D space
1 Finding the angle between two vectors
2 The vector equation of a line
3 Finding distances
Practice Questions 3
An introduction to radians
The identities sin (θ ± ϕ) and cos (θ ± ϕ)
Answers
Back Cover
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