MEI A Level Further Mathematics Year 2 4th Edition
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Description
Contents
Reviews
Language
English
ISBN
9781510434493
Cover
Title Page
Copyright
Contents
Getting the most from this book
Prior knowledge
1 Vectors 1
Review: Working with vectors
1.1 The vector equation of a line
1.2 Lines and planes
Review: Matrices and transformations
R.1 Matrices
R.2 Using matrices to represent transformations
R.3 Invariance
2 Matrices
Review: The determinant of a 2 × 2 matrix
2.1 Finding the inverse of a 3 × 3 matrix
2.2 Intersection of three planes
3 Series and induction
3.1 Summing series
3.2 Proof by induction
4 Further calculus
4.1 Improper integrals
4.2 Calculus with inverse trigonometric functions
4.3 Partial fractions
4.4 Further integration
Practice Questions Further Mathematics 1
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 Maclaurin series
6.1 Polynomial approximations and Maclaurin series
6.2 Using Maclaurin series for standard functions
Review: Complex numbers
R.1 Working with complex numbers
R.2 Representing complex numbers geometrically
7 Hyperbolic functions
7.1 Hyperbolic functions
7.2 Inverse hyperbolic functions
7.3 Integration using inverse hyperbolic functions
8 Applications of integration
8.1 Volumes of revolution
8.2 The mean value of a function
8.3 General integration
Practice Questions Further Mathematics 2
Review: Roots of polynomials
R.1 Roots and coefficients
R.2 Complex roots of polynomial equations
9 First order differential equations
9.1 Modelling rates of change
9.2 Separation of variables
9.3 Integrating factors
10 Complex numbers
Review: The modulus and argument of a complex number
10.1 De Moivre’s theorem
10.2 The nth roots of a complex number
10.3 Finding multiple angle identities using de Moivre’s theorem
10.4 The form z = reiθ
11 Vectors 2
11.1 The vector product
11.2 Finding distances
12 Second order differential equations
12.1 Higher order differential equations
12.2 Auxiliary equations with complex roots
12.3 Non-homogeneous differential equations
12.4 Systems of differential equations
Practice Questions Further Mathematics 3
Answers
Index
Back Cover
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