Cambridge International AS & A Level Further Mathematics Further Pure Mathematics 1
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Description
Contents
Reviews
Language
English
ISBN
9781510422018
Cover
Title Page
Copyright
Introduction
How to use this book
The Cambridge International AS & A Level Further Mathematics 9231 syllabus
1 Matrices and transformations
1.1 Matrices
1.2 Multiplication of matrices
1.3 Transformations
1.4 Successive transformations
1.5 Invariance
2 Series and induction
2.1 Sequences and series
2.2 Using standard results
2.3 The method of differences
2.4 Proof by induction
2.5 Other proofs by induction
3 Roots of polynomials
3.1 Polynomials
3.2 Quadratic equations
3.3 Cubic equations
3.4 Quartic equations
4 Rational functions and graphs
4.1 Graphs of rational functions
4.2 How to sketch a graph of a rational function
4.3 Oblique asymptotes
4.4 Sketching curves related to y = f(x)
5 Polar coordinates
5.1 Polar coordinates
5.2 Sketching curves with polar equations
5.3 Finding the area enclosed by a polar curve
6 Matrices and their inverses
6.1 The determinant of a 2 × 2 matrix
6.2 The inverse of a matrix
6.3 Finding the inverse of a 3 × 3 matrix
7 Vectors
7.1 The vector equation of a plane
7.2 The intersection of a line and a plane
7.3 The distance of a point from a plane
7.4 The angle between a line and a plane
7.5 The intersection of two planes
7.6 The angle between two planes
7.7 The vector product
7.8 Finding distances
Index
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